| Global Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (7995 entries) |
| Lemma Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (6034 entries) |
| Section Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (91 entries) |
| Constructor Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (32 entries) |
| Notation Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (114 entries) |
| Abbreviation Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (8 entries) |
| Inductive Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (17 entries) |
| Definition Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (1264 entries) |
| Module Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (54 entries) |
| Axiom Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (19 entries) |
| Variable Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (336 entries) |
| Library Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (26 entries) |
Global Index
A
acc_rec [lemma, in acc_rec]Ackermann [module, in Ackermann]
Ackermann.addC_CE [lemma, in addC_CE]
Ackermann.add_normal [lemma, in add_normal]
Ackermann.add_to_cons [lemma, in add_to_cons]
Ackermann.add_fin_omega [lemma, in add_fin_omega]
Ackermann.add_inj [lemma, in add_inj]
Ackermann.add_int [lemma, in add_int]
Ackermann.add_le1 [lemma, in add_le1]
Ackermann.add_le2 [lemma, in add_le2]
Ackermann.add_le3 [lemma, in add_le3]
Ackermann.add_le4 [lemma, in add_le4]
Ackermann.add1Nfin [lemma, in add1Nfin]
Ackermann.all_zero [definition, in all_zero]
Ackermann.all_zeroE [lemma, in all_zeroE]
Ackermann.ap_pr2CE [lemma, in ap_pr2CE]
Ackermann.ap_pr0 [lemma, in ap_pr0]
Ackermann.ap_pr1 [lemma, in ap_pr1]
Ackermann.ap_pr2 [lemma, in ap_pr2]
Ackermann.ap_pr3 [lemma, in ap_pr3]
Ackermann.ap_pr4 [lemma, in ap_pr4]
Ackermann.ap_limit [lemma, in ap_limit]
Ackermann.CompareT3Eq [constructor, in CompareT3Eq]
Ackermann.CompareT3Gt [constructor, in CompareT3Gt]
Ackermann.CompareT3Lt [constructor, in CompareT3Lt]
Ackermann.compare_T3 [inductive, in compare_T3]
Ackermann.conc1 [lemma, in conc1]
Ackermann.cons [constructor, in cons]
Ackermann.epsilon0 [definition, in epsilon0]
Ackermann.fincP [lemma, in fincP]
Ackermann.finite_ltP [lemma, in finite_ltP]
Ackermann.fooCE [lemma, in fooCE]
Ackermann.le_succ_succ [lemma, in le_succ_succ]
Ackermann.le_succ_succE [lemma, in le_succ_succE]
Ackermann.limit_of [definition, in limit_of]
Ackermann.limit_pr [lemma, in limit_pr]
Ackermann.limit_pr1 [lemma, in limit_pr1]
Ackermann.limit1 [lemma, in limit1]
Ackermann.limit10 [lemma, in limit10]
Ackermann.limit11 [lemma, in limit11]
Ackermann.limit12a [lemma, in limit12a]
Ackermann.limit12b1 [lemma, in limit12b1]
Ackermann.limit12b2 [lemma, in limit12b2]
Ackermann.limit12b3 [lemma, in limit12b3]
Ackermann.limit12b4 [lemma, in limit12b4]
Ackermann.limit12b5 [lemma, in limit12b5]
Ackermann.limit12_hyp [definition, in limit12_hyp]
Ackermann.limit2 [lemma, in limit2]
Ackermann.limit3 [lemma, in limit3]
Ackermann.limit4 [lemma, in limit4]
Ackermann.limit5 [lemma, in limit5]
Ackermann.limit6 [lemma, in limit6]
Ackermann.limit7 [lemma, in limit7]
Ackermann.limit8 [lemma, in limit8]
Ackermann.limit9 [lemma, in limit9]
Ackermann.lt_succ_succE [lemma, in lt_succ_succE]
Ackermann.lt_psi [definition, in lt_psi]
Ackermann.lt_epsilon0 [lemma, in lt_epsilon0]
Ackermann.lt_rec [definition, in lt_rec]
Ackermann.lt_omega1 [lemma, in lt_omega1]
Ackermann.lt_omega2 [lemma, in lt_omega2]
Ackermann.lt_succ_succ [lemma, in lt_succ_succ]
Ackermann.lt_psi_rec [definition, in lt_psi_rec]
Ackermann.lt_succ_le_1 [lemma, in lt_succ_le_1]
Ackermann.lt_succ_le_2 [lemma, in lt_succ_le_2]
Ackermann.lt_succ_le_3 [lemma, in lt_succ_le_3]
Ackermann.lt_succ_le_4 [lemma, in lt_succ_le_4]
Ackermann.lt_not_wf [lemma, in lt_not_wf]
Ackermann.minus_le [lemma, in minus_le]
Ackermann.minus_lt [lemma, in minus_lt]
Ackermann.nf_sub [lemma, in nf_sub]
Ackermann.nf_cons_cons [lemma, in nf_cons_cons]
Ackermann.nf_pred [lemma, in nf_pred]
Ackermann.nf_split [lemma, in nf_split]
Ackermann.nf_Wf [lemma, in nf_Wf]
Ackermann.nf_int [lemma, in nf_int]
Ackermann.nf_omega [lemma, in nf_omega]
Ackermann.nf_0 [lemma, in nf_0]
Ackermann.nf_succ [lemma, in nf_succ]
Ackermann.nf_consE [lemma, in nf_consE]
Ackermann.nf_psi [lemma, in nf_psi]
Ackermann.nf_finite [lemma, in nf_finite]
Ackermann.nf_add [lemma, in nf_add]
Ackermann.normal [definition, in normal]
Ackermann.normal_id [lemma, in normal_id]
Ackermann.normal_limit [lemma, in normal_limit]
Ackermann.normal_compose [lemma, in normal_compose]
Ackermann.omega [definition, in omega]
Ackermann.omega_least_inf1 [lemma, in omega_least_inf1]
Ackermann.omega_least_inf2 [lemma, in omega_least_inf2]
Ackermann.omega_minus_one [lemma, in omega_minus_one]
Ackermann.one [definition, in one]
Ackermann.phi [definition, in phi]
Ackermann.phia [definition, in phia]
Ackermann.phiE [lemma, in phiE]
Ackermann.phiE_1 [lemma, in phiE_1]
Ackermann.phiE_2 [lemma, in phiE_2]
Ackermann.phiE_3 [lemma, in phiE_3]
Ackermann.phiL [lemma, in phiL]
Ackermann.phi_rec [definition, in phi_rec]
Ackermann.phi_rec_psi [definition, in phi_rec_psi]
Ackermann.phi0 [definition, in phi0]
Ackermann.phi1 [definition, in phi1]
Ackermann.phi10 [definition, in phi10]
Ackermann.phi11 [definition, in phi11]
Ackermann.phi12a [definition, in phi12a]
Ackermann.phi12b2 [definition, in phi12b2]
Ackermann.phi12b3 [definition, in phi12b3]
Ackermann.phi12b4 [definition, in phi12b4]
Ackermann.phi12b5 [definition, in phi12b5]
Ackermann.phi3 [definition, in phi3]
Ackermann.phi3v [lemma, in phi3v]
Ackermann.phi4 [definition, in phi4]
Ackermann.phi5 [definition, in phi5]
Ackermann.phi6 [definition, in phi6]
Ackermann.phi7 [definition, in phi7]
Ackermann.phi8 [definition, in phi8]
Ackermann.phi9 [definition, in phi9]
Ackermann.pred_le [lemma, in pred_le]
Ackermann.pred_lt [lemma, in pred_lt]
Ackermann.pred_succ [lemma, in pred_succ]
Ackermann.psi_lt1 [lemma, in psi_lt1]
Ackermann.psi_lt2 [lemma, in psi_lt2]
Ackermann.psi_succ_pr1 [lemma, in psi_succ_pr1]
Ackermann.psi_succ [definition, in psi_succ]
Ackermann.size [definition, in size]
Ackermann.size_a [lemma, in size_a]
Ackermann.size_b [lemma, in size_b]
Ackermann.size_c [lemma, in size_c]
Ackermann.size_d [lemma, in size_d]
Ackermann.size_prop [lemma, in size_prop]
Ackermann.size_psi [lemma, in size_psi]
Ackermann.size_prop1 [lemma, in size_prop1]
Ackermann.split_succ [lemma, in split_succ]
Ackermann.split_is_succ [lemma, in split_is_succ]
Ackermann.split_finite [lemma, in split_finite]
Ackermann.split_add [lemma, in split_add]
Ackermann.split_pred [lemma, in split_pred]
Ackermann.split_le [lemma, in split_le]
Ackermann.split_limit [lemma, in split_limit]
Ackermann.sub_nz [lemma, in sub_nz]
Ackermann.sub_pr [lemma, in sub_pr]
Ackermann.sub_pr1 [lemma, in sub_pr1]
Ackermann.sub_pr1r [lemma, in sub_pr1r]
Ackermann.sub_1aCE [lemma, in sub_1aCE]
Ackermann.sub_1bCE [lemma, in sub_1bCE]
Ackermann.sub_pr1rCE [lemma, in sub_pr1rCE]
Ackermann.sub_int [lemma, in sub_int]
Ackermann.sub_le1 [lemma, in sub_le1]
Ackermann.sub1a [lemma, in sub1a]
Ackermann.sub1b [lemma, in sub1b]
Ackermann.sub1Nfin [lemma, in sub1Nfin]
Ackermann.succ_psiCE [lemma, in succ_psiCE]
Ackermann.succ_is_add_one [lemma, in succ_is_add_one]
Ackermann.succ_inj [lemma, in succ_inj]
Ackermann.succ_lt [lemma, in succ_lt]
Ackermann.succ_p1 [lemma, in succ_p1]
Ackermann.succ_nz [lemma, in succ_nz]
Ackermann.succ_prCE [lemma, in succ_prCE]
Ackermann.succ_pred [lemma, in succ_pred]
Ackermann.succ_psi [lemma, in succ_psi]
Ackermann.succ_psi1 [lemma, in succ_psi1]
Ackermann.succ_psi2 [lemma, in succ_psi2]
Ackermann.succ_psi_lt2 [lemma, in succ_psi_lt2]
Ackermann.succ_psi_lt [lemma, in succ_psi_lt]
Ackermann.sup_Oalpha_limit [lemma, in sup_Oalpha_limit]
Ackermann.sup_of [definition, in sup_of]
Ackermann.sup_unique [lemma, in sup_unique]
Ackermann.sup_Oalpha_zero [lemma, in sup_Oalpha_zero]
Ackermann.sup_Oalpha_succ [lemma, in sup_Oalpha_succ]
Ackermann.Tf [abbreviation, in Tf]
Ackermann.TT1T3_inj [lemma, in TT1T3_inj]
Ackermann.T1succ_nat [lemma, in T1succ_nat]
Ackermann.T1T3_lt_epsilon0 [lemma, in T1T3_lt_epsilon0]
Ackermann.T1T3_inc [lemma, in T1T3_inc]
Ackermann.T1T3_surj [lemma, in T1T3_surj]
Ackermann.T1_T3 [definition, in T1_T3]
Ackermann.T3 [inductive, in T3]
Ackermann.T3add [definition, in T3add]
Ackermann.T3addA [lemma, in T3addA]
Ackermann.T3addn0 [lemma, in T3addn0]
Ackermann.T3addS [lemma, in T3addS]
Ackermann.T3add_eq0 [lemma, in T3add_eq0]
Ackermann.T3add0n [lemma, in T3add0n]
Ackermann.T3ap [definition, in T3ap]
Ackermann.T3bad [definition, in T3bad]
Ackermann.T3eq [definition, in T3eq]
Ackermann.T3eqE [lemma, in T3eqE]
Ackermann.T3eqP [lemma, in T3eqP]
Ackermann.T3eq_add2l [lemma, in T3eq_add2l]
Ackermann.T3eq_le [lemma, in T3eq_le]
Ackermann.T3finite [definition, in T3finite]
Ackermann.T3finite_succ [lemma, in T3finite_succ]
Ackermann.T3finite1 [lemma, in T3finite1]
Ackermann.T3finite2 [lemma, in T3finite2]
Ackermann.T3GeqNotGtn [constructor, in T3GeqNotGtn]
Ackermann.T3GeqNotLtn [constructor, in T3GeqNotLtn]
Ackermann.T3ge1 [lemma, in T3ge1]
Ackermann.T3GtnNotLeq [constructor, in T3GtnNotLeq]
Ackermann.T3gt1 [lemma, in T3gt1]
Ackermann.T3is_succ [definition, in T3is_succ]
Ackermann.T3lcp0_pr [lemma, in T3lcp0_pr]
Ackermann.T3le [definition, in T3le]
Ackermann.T3leNgt [lemma, in T3leNgt]
Ackermann.T3lenn [lemma, in T3lenn]
Ackermann.T3len0 [lemma, in T3len0]
Ackermann.T3leP [lemma, in T3leP]
Ackermann.T3leq_xor_gtn [inductive, in T3leq_xor_gtn]
Ackermann.T3le_consE [lemma, in T3le_consE]
Ackermann.T3le_psi [lemma, in T3le_psi]
Ackermann.T3le_anti [lemma, in T3le_anti]
Ackermann.T3le_eqVlt [lemma, in T3le_eqVlt]
Ackermann.T3le_total [lemma, in T3le_total]
Ackermann.T3le_add2l [lemma, in T3le_add2l]
Ackermann.T3le_add2r [lemma, in T3le_add2r]
Ackermann.T3le_trans [lemma, in T3le_trans]
Ackermann.T3le_lt_trans [lemma, in T3le_lt_trans]
Ackermann.T3le0n [lemma, in T3le0n]
Ackermann.T3limit [definition, in T3limit]
Ackermann.T3lt [definition, in T3lt]
Ackermann.T3lta [definition, in T3lta]
Ackermann.T3ltE [lemma, in T3ltE]
Ackermann.T3ltgtP [lemma, in T3ltgtP]
Ackermann.T3ltNge [lemma, in T3ltNge]
Ackermann.T3ltnn [lemma, in T3ltnn]
Ackermann.T3LtnNotGeq [constructor, in T3LtnNotGeq]
Ackermann.T3ltn_xor_geq [inductive, in T3ltn_xor_geq]
Ackermann.T3ltn0 [lemma, in T3ltn0]
Ackermann.T3ltP [lemma, in T3ltP]
Ackermann.T3ltW [lemma, in T3ltW]
Ackermann.T3lt_anti [lemma, in T3lt_anti]
Ackermann.T3lt_le_trans [lemma, in T3lt_le_trans]
Ackermann.T3lt_trichotomy [lemma, in T3lt_trichotomy]
Ackermann.T3lt_add2l [lemma, in T3lt_add2l]
Ackermann.T3lt_add2r [lemma, in T3lt_add2r]
Ackermann.T3lt_trans [lemma, in T3lt_trans]
Ackermann.T3lt_ne [lemma, in T3lt_ne]
Ackermann.T3lt_consE [lemma, in T3lt_consE]
Ackermann.T3lt_psi' [lemma, in T3lt_psi']
Ackermann.T3lt_psi_bc [lemma, in T3lt_psi_bc]
Ackermann.T3lt_neAle [lemma, in T3lt_neAle]
Ackermann.T3lt_ne' [lemma, in T3lt_ne']
Ackermann.T3lt_psi_a [lemma, in T3lt_psi_a]
Ackermann.T3lt_psi_b [lemma, in T3lt_psi_b]
Ackermann.T3lt_psi_c [lemma, in T3lt_psi_c]
Ackermann.T3lt_psi [lemma, in T3lt_psi]
Ackermann.T3lt0n [lemma, in T3lt0n]
Ackermann.T3lt1 [lemma, in T3lt1]
Ackermann.T3nat [definition, in T3nat]
Ackermann.T3nf [definition, in T3nf]
Ackermann.T3nf_finite [lemma, in T3nf_finite]
Ackermann.T3pred [definition, in T3pred]
Ackermann.T3split [definition, in T3split]
Ackermann.T3sub [definition, in T3sub]
Ackermann.T3subnn [lemma, in T3subnn]
Ackermann.T3subn0 [lemma, in T3subn0]
Ackermann.T3sub0n [lemma, in T3sub0n]
Ackermann.T3succ [definition, in T3succ]
Ackermann.T3_eqMixin [definition, in T3_eqMixin]
Ackermann.T3_eqType [definition, in T3_eqType]
Ackermann.zero [constructor, in zero]
_ < _ (ak_scope) [notation, in :ak_scope:x_'<'_x]
_ > _ (ak_scope) [notation, in :ak_scope:x_'>'_x]
_ >= _ (ak_scope) [notation, in :ak_scope:x_'>='_x]
_ + _ (ak_scope) [notation, in :ak_scope:x_'+'_x]
_ - _ (ak_scope) [notation, in :ak_scope:x_'-'_x]
[ _ , _ , _ ] (ak_scope) [notation, in :ak_scope:'['_x_','_x_','_x_']']
\F _ (ak_scope) [notation, in :ak_scope:'\F'_x]
_ <= _ (ak_scope) [notation, in :ak_scope:x_'<='_x]
_ < _ (cantor_scope) [notation, in :cantor_scope:x_'<'_x]
Axioms [module, in Axioms]
Axioms.antisymmetric_r [definition, in antisymmetric_r]
Axioms.Choose [section, in Choose]
Axioms.chooseT [axiom, in chooseT]
Axioms.chooseT_pr [axiom, in chooseT_pr]
Axioms.Choose.t [variable, in t]
Axioms.equal_or_not [lemma, in equal_or_not]
Axioms.exactly_one [definition, in exactly_one]
Axioms.excluded_middle [lemma, in excluded_middle]
Axioms.extensionality [axiom, in extensionality]
Axioms.fterm [definition, in fterm]
Axioms.fterm2 [definition, in fterm2]
Axioms.iff_neg [lemma, in iff_neg]
Axioms.iff_sym [lemma, in iff_sym]
Axioms.iff_trans [lemma, in iff_trans]
Axioms.IM [axiom, in IM]
Axioms.IM_P [axiom, in IM_P]
Axioms.inc [definition, in inc]
Axioms.inc_or_not [lemma, in inc_or_not]
Axioms.nonempty [inductive, in nonempty]
Axioms.nonempty_intro [constructor, in nonempty_intro]
Axioms.proj31 [lemma, in proj31]
Axioms.proj31_1 [lemma, in proj31_1]
Axioms.proj32 [lemma, in proj32]
Axioms.proj32_1 [lemma, in proj32_1]
Axioms.proj33 [lemma, in proj33]
Axioms.property [definition, in property]
Axioms.p_or_not_p [axiom, in p_or_not_p]
Axioms.reflexive_r [definition, in reflexive_r]
Axioms.relation [definition, in relation]
Axioms.Ro [axiom, in Ro]
Axioms.R_inj [axiom, in R_inj]
Axioms.singl_val [definition, in singl_val]
Axioms.singl_val_fp [definition, in singl_val_fp]
Axioms.singl_val2 [definition, in singl_val2]
Axioms.ssub [definition, in ssub]
Axioms.sub [definition, in sub]
Axioms.symmetric_r [definition, in symmetric_r]
Axioms.transitive_r [definition, in transitive_r]
B
Bell [definition, in Bell]Bell_rec [lemma, in Bell_rec]
Bell0 [lemma, in Bell0]
Bell1 [lemma, in Bell1]
Bfunction [module, in Bfunction]
Bfunction.acreate [definition, in acreate]
Bfunction.acreate_function [lemma, in acreate_function]
Bfunction.acreate_triple [lemma, in acreate_triple]
Bfunction.acreate_P [lemma, in acreate_P]
Bfunction.acreate_V [lemma, in acreate_V]
Bfunction.acreate_source [lemma, in acreate_source]
Bfunction.acreate_target [lemma, in acreate_target]
Bfunction.acreate_exten [lemma, in acreate_exten]
Bfunction.acreate_fb [lemma, in acreate_fb]
Bfunction.acreate_fi [lemma, in acreate_fi]
Bfunction.acreate_fs [lemma, in acreate_fs]
Bfunction.agreeC [definition, in agreeC]
Bfunction.agrees_same_restriction [lemma, in agrees_same_restriction]
Bfunction.agrees_same_restrictionC [lemma, in agrees_same_restrictionC]
Bfunction.agrees_on [definition, in agrees_on]
Bfunction.bcreate [definition, in bcreate]
Bfunction.bcreate_eq [lemma, in bcreate_eq]
Bfunction.bcreate_fb [lemma, in bcreate_fb]
Bfunction.bcreate_fi [lemma, in bcreate_fi]
Bfunction.bcreate_fs [lemma, in bcreate_fs]
Bfunction.bcreate_inv1 [lemma, in bcreate_inv1]
Bfunction.bcreate_inv2 [lemma, in bcreate_inv2]
Bfunction.bcreate_inv3 [lemma, in bcreate_inv3]
Bfunction.bcreate1 [definition, in bcreate1]
Bfunction.bcreate1_fb [lemma, in bcreate1_fb]
Bfunction.bcreate1_fi [lemma, in bcreate1_fi]
Bfunction.bcreate1_fs [lemma, in bcreate1_fs]
Bfunction.bijection [definition, in bijection]
Bfunction.bijection_coq [lemma, in bijection_coq]
Bfunction.bijection_prop [definition, in bijection_prop]
Bfunction.bijectiveC [definition, in bijectiveC]
Bfunction.bijectiveC_pr [lemma, in bijectiveC_pr]
Bfunction.bijective_inverseC [lemma, in bijective_inverseC]
Bfunction.bijective_ext_to_prod2C [lemma, in bijective_ext_to_prod2C]
Bfunction.bijective_from_compose [lemma, in bijective_from_compose]
Bfunction.bijective_inv_f [lemma, in bijective_inv_f]
Bfunction.bijective_pr [lemma, in bijective_pr]
Bfunction.bijective_double_inverseC [lemma, in bijective_double_inverseC]
Bfunction.bijective_double_inverseC1 [lemma, in bijective_double_inverseC1]
Bfunction.bij_right_inverseC [lemma, in bij_right_inverseC]
Bfunction.bij_left_inverseC [lemma, in bij_left_inverseC]
Bfunction.bij_surj [lemma, in bij_surj]
Bfunction.bij_left_inverse [lemma, in bij_left_inverse]
Bfunction.bij_right_inverse [lemma, in bij_right_inverse]
Bfunction.bij_inj [lemma, in bij_inj]
Bfunction.bij_function [lemma, in bij_function]
Bfunction.canonical_injection [definition, in canonical_injection]
Bfunction.canonical_decomposition1 [lemma, in canonical_decomposition1]
Bfunction.canonical_decomposition1C [lemma, in canonical_decomposition1C]
Bfunction.canonical_injection_p1 [lemma, in canonical_injection_p1]
Bfunction.ci_fi [lemma, in ci_fi]
Bfunction.ci_range [lemma, in ci_range]
Bfunction.ci_V [lemma, in ci_V]
Bfunction.ci_f [lemma, in ci_f]
Bfunction.compfA [lemma, in compfA]
Bfunction.compf_graph [lemma, in compf_graph]
Bfunction.compf_regl [lemma, in compf_regl]
Bfunction.compf_regr [lemma, in compf_regr]
Bfunction.compf_id_l [lemma, in compf_id_l]
Bfunction.compf_id_r [lemma, in compf_id_r]
Bfunction.compf_lK [lemma, in compf_lK]
Bfunction.compf_domg [lemma, in compf_domg]
Bfunction.compf_rK [lemma, in compf_rK]
Bfunction.compf_V [lemma, in compf_V]
Bfunction.compf_f [lemma, in compf_f]
Bfunction.compf_s [lemma, in compf_s]
Bfunction.compf_t [lemma, in compf_t]
Bfunction.composable [definition, in composable]
Bfunction.composable_f_inv [lemma, in composable_f_inv]
Bfunction.composable_pr [lemma, in composable_pr]
Bfunction.composable_ext_to_prod2 [lemma, in composable_ext_to_prod2]
Bfunction.composable_inv_f [lemma, in composable_inv_f]
Bfunction.composable_acreate [lemma, in composable_acreate]
Bfunction.composeC_surj [lemma, in composeC_surj]
Bfunction.composeC_ev [lemma, in composeC_ev]
Bfunction.composeC_bij [lemma, in composeC_bij]
Bfunction.composeC_inj [lemma, in composeC_inj]
Bfunction.compose_ext_to_prod2 [lemma, in compose_ext_to_prod2]
Bfunction.compose_id_leftC [lemma, in compose_id_leftC]
Bfunction.compose_fb [lemma, in compose_fb]
Bfunction.compose_fi [lemma, in compose_fi]
Bfunction.compose_fs [lemma, in compose_fs]
Bfunction.compose_ext_to_prod2C [lemma, in compose_ext_to_prod2C]
Bfunction.compose_id_rightC [lemma, in compose_id_rightC]
Bfunction.compose_acreate [lemma, in compose_acreate]
Bfunction.compositionC_A [lemma, in compositionC_A]
Bfunction.constantfp [definition, in constantfp]
Bfunction.ConstantFunction [section, in ConstantFunction]
Bfunction.ConstantFunction.A [variable, in A]
Bfunction.ConstantFunction.B [variable, in B]
Bfunction.ConstantFunction.y [variable, in y]
Bfunction.ConstantFunction.yB [variable, in yB]
Bfunction.constantgp [definition, in constantgp]
Bfunction.constantp [definition, in constantp]
Bfunction.constant_V [lemma, in constant_V]
Bfunction.constant_f [lemma, in constant_f]
Bfunction.constant_g [lemma, in constant_g]
Bfunction.constant_s [lemma, in constant_s]
Bfunction.constant_t [lemma, in constant_t]
Bfunction.constant_fun_constantC [lemma, in constant_fun_constantC]
Bfunction.constant_prop1 [lemma, in constant_prop1]
Bfunction.constant_prop2 [lemma, in constant_prop2]
Bfunction.constant_prop3 [lemma, in constant_prop3]
Bfunction.constant_prop4 [lemma, in constant_prop4]
Bfunction.constant_prop5 [lemma, in constant_prop5]
Bfunction.constant_prop6 [lemma, in constant_prop6]
Bfunction.constant_function [definition, in constant_function]
Bfunction.constant_constant_fun [lemma, in constant_constant_fun]
Bfunction.constant_prop [lemma, in constant_prop]
Bfunction.constant_function_pr2 [lemma, in constant_function_pr2]
Bfunction.constant_function_pr3 [lemma, in constant_function_pr3]
Bfunction.cstfp [definition, in cstfp]
Bfunction.cstgp [definition, in cstgp]
Bfunction.diagonal_application [definition, in diagonal_application]
Bfunction.diag_app_range [lemma, in diag_app_range]
Bfunction.diag_app_V [lemma, in diag_app_V]
Bfunction.diag_app_f [lemma, in diag_app_f]
Bfunction.diag_app_fi [lemma, in diag_app_fi]
Bfunction.direct_inv_im_surjective [lemma, in direct_inv_im_surjective]
Bfunction.direct_inv_im [lemma, in direct_inv_im]
Bfunction.empty_function_graph [lemma, in empty_function_graph]
Bfunction.empty_source_graph2 [lemma, in empty_source_graph2]
Bfunction.empty_function_p1 [lemma, in empty_function_p1]
Bfunction.empty_function_p2 [lemma, in empty_function_p2]
Bfunction.empty_function_tg [definition, in empty_function_tg]
Bfunction.empty_function_tg_function [lemma, in empty_function_tg_function]
Bfunction.empty_functionCt [definition, in empty_functionCt]
Bfunction.empty_target_graph [lemma, in empty_target_graph]
Bfunction.empty_functionC [definition, in empty_functionC]
Bfunction.empty_source_graph [lemma, in empty_source_graph]
Bfunction.empty_function [definition, in empty_function]
Bfunction.empty_function_function [lemma, in empty_function_function]
Bfunction.equipotent [definition, in equipotent]
Bfunction.equipotentC [lemma, in equipotentC]
Bfunction.equipotentR [lemma, in equipotentR]
Bfunction.equipotentS [lemma, in equipotentS]
Bfunction.equipotentT [lemma, in equipotentT]
Bfunction.equipotent_restriction1 [lemma, in equipotent_restriction1]
Bfunction.equipotent_indexed [lemma, in equipotent_indexed]
Bfunction.equipotent_rindexed [lemma, in equipotent_rindexed]
Bfunction.equipotent_range [lemma, in equipotent_range]
Bfunction.equipotent_aux [lemma, in equipotent_aux]
Bfunction.equipotent_product_sym [lemma, in equipotent_product_sym]
Bfunction.equipotent_source_graph [lemma, in equipotent_source_graph]
Bfunction.exists_right_composable_auxC [lemma, in exists_right_composable_auxC]
Bfunction.exists_left_composable [lemma, in exists_left_composable]
Bfunction.exists_right_composableC [lemma, in exists_right_composableC]
Bfunction.exists_unique_left_composableC [lemma, in exists_unique_left_composableC]
Bfunction.exists_unique_left_composable [lemma, in exists_unique_left_composable]
Bfunction.exists_left_composable_aux [lemma, in exists_left_composable_aux]
Bfunction.exists_left_inv_from_injC [lemma, in exists_left_inv_from_injC]
Bfunction.exists_right_composable_aux [lemma, in exists_right_composable_aux]
Bfunction.exists_right_inv_from_surjC [lemma, in exists_right_inv_from_surjC]
Bfunction.exists_left_composable_auxC [lemma, in exists_left_composable_auxC]
Bfunction.exists_right_inv_from_surj [lemma, in exists_right_inv_from_surj]
Bfunction.exists_left_composableC [lemma, in exists_left_composableC]
Bfunction.exists_right_composable_unique [lemma, in exists_right_composable_unique]
Bfunction.exists_left_inv_from_inj [lemma, in exists_left_inv_from_inj]
Bfunction.exists_right_composable_uniqueC [lemma, in exists_right_composable_uniqueC]
Bfunction.exists_right_composable [lemma, in exists_right_composable]
Bfunction.extends [definition, in extends]
Bfunction.extendsC [definition, in extendsC]
Bfunction.extendsC_pr [lemma, in extendsC_pr]
Bfunction.extends_Ssource [lemma, in extends_Ssource]
Bfunction.extends_sV [lemma, in extends_sV]
Bfunction.Extension [section, in Extension]
Bfunction.extension [definition, in extension]
Bfunction.extension_f_injective [lemma, in extension_f_injective]
Bfunction.extension_restr [lemma, in extension_restr]
Bfunction.extension_Vf_in [lemma, in extension_Vf_in]
Bfunction.extension_fs [lemma, in extension_fs]
Bfunction.extension_f [lemma, in extension_f]
Bfunction.extension_Vf_out [lemma, in extension_Vf_out]
Bfunction.extension_injective [lemma, in extension_injective]
Bfunction.Extension.f [variable, in f]
Bfunction.Extension.ff [variable, in ff]
Bfunction.Extension.x [variable, in x]
Bfunction.Extension.xsf [variable, in xsf]
Bfunction.Extension.y [variable, in y]
Bfunction.ext_to_prod_r [lemma, in ext_to_prod_r]
Bfunction.ext_to_prod_s [lemma, in ext_to_prod_s]
Bfunction.Ext_to_prod.u [variable, in u]
Bfunction.Ext_to_prod.v [variable, in v]
Bfunction.ext_to_prod [definition, in ext_to_prod]
Bfunction.ext_to_prodC [definition, in ext_to_prodC]
Bfunction.ext_to_prod_propJ [lemma, in ext_to_prod_propJ]
Bfunction.ext_to_prod_propP [lemma, in ext_to_prod_propP]
Bfunction.ext_to_prod_propQ [lemma, in ext_to_prod_propQ]
Bfunction.ext_to_prod_prop [lemma, in ext_to_prod_prop]
Bfunction.Ext_to_prod.fu [variable, in fu]
Bfunction.Ext_to_prod.fv [variable, in fv]
Bfunction.ext_to_prod_V2 [lemma, in ext_to_prod_V2]
Bfunction.ext_to_prod_fb [lemma, in ext_to_prod_fb]
Bfunction.ext_to_prod_fi [lemma, in ext_to_prod_fi]
Bfunction.ext_to_prod_fs [lemma, in ext_to_prod_fs]
Bfunction.ext_to_prod_inverse [lemma, in ext_to_prod_inverse]
Bfunction.Ext_to_prod [section, in Ext_to_prod]
Bfunction.ext_to_prod_V [lemma, in ext_to_prod_V]
Bfunction.ext_to_prod_f [lemma, in ext_to_prod_f]
Bfunction.fcomp_identity_left [lemma, in fcomp_identity_left]
Bfunction.first_proj [definition, in first_proj]
Bfunction.first_proj_fi [lemma, in first_proj_fi]
Bfunction.first_proj_fs [lemma, in first_proj_fs]
Bfunction.first_proj_V [lemma, in first_proj_V]
Bfunction.first_proj_f [lemma, in first_proj_f]
Bfunction.function [definition, in function]
Bfunction.functionalP [lemma, in functionalP]
Bfunction.functional_graph [definition, in functional_graph]
Bfunction.function_prop [definition, in function_prop]
Bfunction.function_extends_restC [lemma, in function_extends_restC]
Bfunction.function_extends_restr [lemma, in function_extends_restr]
Bfunction.function_exten [lemma, in function_exten]
Bfunction.function_functional [lemma, in function_functional]
Bfunction.function_rest_of_prolongation [lemma, in function_rest_of_prolongation]
Bfunction.function_exten1 [lemma, in function_exten1]
Bfunction.function_exten2 [lemma, in function_exten2]
Bfunction.function_exten3 [lemma, in function_exten3]
Bfunction.function_exten4 [lemma, in function_exten4]
Bfunction.function_pr [lemma, in function_pr]
Bfunction.function_fgraph [lemma, in function_fgraph]
Bfunction.function_sgraph [lemma, in function_sgraph]
Bfunction.Funtion_two_args.f [variable, in f]
Bfunction.Funtion_two_args [section, in Funtion_two_args]
Bfunction.Funtion_two_args.ff [variable, in ff]
Bfunction.Funtion_two_args.sgf [variable, in sgf]
Bfunction.fun_image_Starget1 [lemma, in fun_image_Starget1]
Bfunction.fun_image_Starget [lemma, in fun_image_Starget]
Bfunction.fun_image_set0 [lemma, in fun_image_set0]
Bfunction.fun_image_set1 [lemma, in fun_image_set1]
Bfunction.f_domain_graph [lemma, in f_domain_graph]
Bfunction.f_range_graph [lemma, in f_range_graph]
Bfunction.gacreate [definition, in gacreate]
Bfunction.identityC [definition, in identityC]
Bfunction.identityC_fb [lemma, in identityC_fb]
Bfunction.identity_Lf [lemma, in identity_Lf]
Bfunction.identity_fb [lemma, in identity_fb]
Bfunction.identity_prop [lemma, in identity_prop]
Bfunction.identity_prop1 [lemma, in identity_prop1]
Bfunction.identity_prop2 [lemma, in identity_prop2]
Bfunction.identity_V [lemma, in identity_V]
Bfunction.identity_f [lemma, in identity_f]
Bfunction.ifun_involutive [lemma, in ifun_involutive]
Bfunction.iim_fun_C [lemma, in iim_fun_C]
Bfunction.iim_fun_r [lemma, in iim_fun_r]
Bfunction.iim_fun_set1_hi [lemma, in iim_fun_set1_hi]
Bfunction.iim_fun_set1_E [lemma, in iim_fun_set1_E]
Bfunction.iim_fun_set1_P [lemma, in iim_fun_set1_P]
Bfunction.iim_fun_set1_i [lemma, in iim_fun_set1_i]
Bfunction.imageC [definition, in imageC]
Bfunction.imageC_exists [lemma, in imageC_exists]
Bfunction.imageC_inc [lemma, in imageC_inc]
Bfunction.image_by_fun_source [lemma, in image_by_fun_source]
Bfunction.inclusionC [definition, in inclusionC]
Bfunction.inclusionC_compose [lemma, in inclusionC_compose]
Bfunction.inclusionC_fi [lemma, in inclusionC_fi]
Bfunction.inclusionC_pr [lemma, in inclusionC_pr]
Bfunction.inclusionC_identity [lemma, in inclusionC_identity]
Bfunction.injection [definition, in injection]
Bfunction.injection_prop [definition, in injection_prop]
Bfunction.injectiveC [definition, in injectiveC]
Bfunction.injective_pr3 [lemma, in injective_pr3]
Bfunction.injective_pr_bis [lemma, in injective_pr_bis]
Bfunction.injective_ext_to_prod2C [lemma, in injective_ext_to_prod2C]
Bfunction.injective_pr [lemma, in injective_pr]
Bfunction.inj_if_exists_left_invC [lemma, in inj_if_exists_left_invC]
Bfunction.inj_function [lemma, in inj_function]
Bfunction.inj_compose1 [lemma, in inj_compose1]
Bfunction.inj_left_compose2C [lemma, in inj_left_compose2C]
Bfunction.inj_if_exists_left_inv [lemma, in inj_if_exists_left_inv]
Bfunction.inj_right_composeC [lemma, in inj_right_composeC]
Bfunction.inverseC [definition, in inverseC]
Bfunction.inverseC_pra [lemma, in inverseC_pra]
Bfunction.inverseC_prb [lemma, in inverseC_prb]
Bfunction.inverseC_prc [lemma, in inverseC_prc]
Bfunction.InverseProps [section, in InverseProps]
Bfunction.InverseProps.A [variable, in A]
Bfunction.InverseProps.B [variable, in B]
Bfunction.InverseProps.f [variable, in f]
Bfunction.InverseProps.H [variable, in H]
Bfunction.inverse_fun_involutiveC [lemma, in inverse_fun_involutiveC]
Bfunction.inverse_ext_to_prod2C [lemma, in inverse_ext_to_prod2C]
Bfunction.inverse_Vis [lemma, in inverse_Vis]
Bfunction.inverse_bij_fb [lemma, in inverse_bij_fb]
Bfunction.inverse_V2 [lemma, in inverse_V2]
Bfunction.inverse_V [lemma, in inverse_V]
Bfunction.inverse_direct_image_inj [lemma, in inverse_direct_image_inj]
Bfunction.inverse_direct_image [lemma, in inverse_direct_image]
Bfunction.inv_function_fb [lemma, in inv_function_fb]
Bfunction.inv_graph_canon_fb [lemma, in inv_graph_canon_fb]
Bfunction.in_graph_Vf [lemma, in in_graph_Vf]
Bfunction.is_left_inverseC [definition, in is_left_inverseC]
Bfunction.is_right_inverse [definition, in is_right_inverse]
Bfunction.is_left_inverse [definition, in is_left_inverse]
Bfunction.is_right_inverseC [definition, in is_right_inverseC]
Bfunction.left_inverse_compose [lemma, in left_inverse_compose]
Bfunction.left_inverse_composable [lemma, in left_inverse_composable]
Bfunction.left_inverseC [definition, in left_inverseC]
Bfunction.left_inverse_surjectiveC [lemma, in left_inverse_surjectiveC]
Bfunction.left_inverse_from_right [lemma, in left_inverse_from_right]
Bfunction.left_inverse_comp_id [lemma, in left_inverse_comp_id]
Bfunction.left_inv_compose_rf [lemma, in left_inv_compose_rf]
Bfunction.left_composable_value [lemma, in left_composable_value]
Bfunction.left_inverse_composeC [lemma, in left_inverse_composeC]
Bfunction.left_inverse_fs [lemma, in left_inverse_fs]
Bfunction.left_inv_compose_rf2C [lemma, in left_inv_compose_rf2C]
Bfunction.left_inverse_from_rightC [lemma, in left_inverse_from_rightC]
Bfunction.left_inverseC_pr [lemma, in left_inverseC_pr]
Bfunction.left_composable_valueC [lemma, in left_composable_valueC]
Bfunction.left_compose_fb [lemma, in left_compose_fb]
Bfunction.left_compose_fs [lemma, in left_compose_fs]
Bfunction.left_compose_fi2 [lemma, in left_compose_fi2]
Bfunction.left_compose_fs2 [lemma, in left_compose_fs2]
Bfunction.left_i_V [lemma, in left_i_V]
Bfunction.left_i_v [lemma, in left_i_v]
Bfunction.left_inv_compose_rf2 [lemma, in left_inv_compose_rf2]
Bfunction.left_inv_compose_rfC [lemma, in left_inv_compose_rfC]
Bfunction.left_i_source [lemma, in left_i_source]
Bfunction.left_i_target [lemma, in left_i_target]
Bfunction.Lf [definition, in Lf]
Bfunction.lf_recovers [lemma, in lf_recovers]
Bfunction.lf_function [lemma, in lf_function]
Bfunction.lf_V [lemma, in lf_V]
Bfunction.lf_source [lemma, in lf_source]
Bfunction.lf_target [lemma, in lf_target]
Bfunction.lf_injective [lemma, in lf_injective]
Bfunction.lf_axiom [definition, in lf_axiom]
Bfunction.lf_graph1 [lemma, in lf_graph1]
Bfunction.lf_graph2 [lemma, in lf_graph2]
Bfunction.lf_graph3 [lemma, in lf_graph3]
Bfunction.lf_graph4 [lemma, in lf_graph4]
Bfunction.lf_bijective [lemma, in lf_bijective]
Bfunction.lf_surjective [lemma, in lf_surjective]
Bfunction.nonempty_image [lemma, in nonempty_image]
Bfunction.pairC [definition, in pairC]
Bfunction.partial_fun1 [definition, in partial_fun1]
Bfunction.partial_fun2 [definition, in partial_fun2]
Bfunction.partial_fun1_V [lemma, in partial_fun1_V]
Bfunction.partial_fun1_f [lemma, in partial_fun1_f]
Bfunction.partial_fun2_V [lemma, in partial_fun2_V]
Bfunction.partial_fun2_f [lemma, in partial_fun2_f]
Bfunction.partial_fun1_axioms [lemma, in partial_fun1_axioms]
Bfunction.partial_fun2_axioms [lemma, in partial_fun2_axioms]
Bfunction.prC_prop [lemma, in prC_prop]
Bfunction.prJ_prop [lemma, in prJ_prop]
Bfunction.prJ_recov [lemma, in prJ_recov]
Bfunction.prop_bcreate1 [lemma, in prop_bcreate1]
Bfunction.prop_bcreate2 [lemma, in prop_bcreate2]
Bfunction.pr1C [definition, in pr1C]
Bfunction.pr1C_prop [lemma, in pr1C_prop]
Bfunction.pr2C [definition, in pr2C]
Bfunction.pr2C_prop [lemma, in pr2C_prop]
Bfunction.p1graph_source [lemma, in p1graph_source]
Bfunction.p1graph_source1 [lemma, in p1graph_source1]
Bfunction.p2graph_target1 [lemma, in p2graph_target1]
Bfunction.p2graph_target [lemma, in p2graph_target]
Bfunction.range_fP [lemma, in range_fP]
Bfunction.resrtriction_Lf [lemma, in resrtriction_Lf]
Bfunction.restriction [definition, in restriction]
Bfunction.restrictionC [definition, in restrictionC]
Bfunction.restriction_recovers [lemma, in restriction_recovers]
Bfunction.restriction_to_image [definition, in restriction_to_image]
Bfunction.restriction_to_imageC_pr [lemma, in restriction_to_imageC_pr]
Bfunction.restriction_graph1 [lemma, in restriction_graph1]
Bfunction.restriction_V [lemma, in restriction_V]
Bfunction.restriction_to_image_axioms [lemma, in restriction_to_image_axioms]
Bfunction.restriction_to_imageC [definition, in restriction_to_imageC]
Bfunction.restriction_to_imageE [lemma, in restriction_to_imageE]
Bfunction.restriction_to_image_fb [lemma, in restriction_to_image_fb]
Bfunction.restriction_to_image_fs [lemma, in restriction_to_image_fs]
Bfunction.restriction_prop [lemma, in restriction_prop]
Bfunction.restriction1 [definition, in restriction1]
Bfunction.restriction1_fb [lemma, in restriction1_fb]
Bfunction.restriction1_fs [lemma, in restriction1_fs]
Bfunction.restriction1_pr [lemma, in restriction1_pr]
Bfunction.restriction1_prop [lemma, in restriction1_prop]
Bfunction.restriction1_V [lemma, in restriction1_V]
Bfunction.restriction2 [definition, in restriction2]
Bfunction.restriction2C [definition, in restriction2C]
Bfunction.restriction2C_pr [lemma, in restriction2C_pr]
Bfunction.restriction2C_pr1 [lemma, in restriction2C_pr1]
Bfunction.restriction2_prop [lemma, in restriction2_prop]
Bfunction.restriction2_props [lemma, in restriction2_props]
Bfunction.restriction2_fi [lemma, in restriction2_fi]
Bfunction.restriction2_fs [lemma, in restriction2_fs]
Bfunction.restriction2_V [lemma, in restriction2_V]
Bfunction.restriction2_axioms [definition, in restriction2_axioms]
Bfunction.restr_range [lemma, in restr_range]
Bfunction.restr_setU1 [lemma, in restr_setU1]
Bfunction.right_inv_compose_rf2 [lemma, in right_inv_compose_rf2]
Bfunction.right_inv_compose_rfC [lemma, in right_inv_compose_rfC]
Bfunction.right_inverse_injectiveC [lemma, in right_inverse_injectiveC]
Bfunction.right_compose_fb [lemma, in right_compose_fb]
Bfunction.right_compose_fi [lemma, in right_compose_fi]
Bfunction.right_inverse_from_leftC [lemma, in right_inverse_from_leftC]
Bfunction.right_inverse_compose [lemma, in right_inverse_compose]
Bfunction.right_inverse_composable [lemma, in right_inverse_composable]
Bfunction.right_inverse_comp_id [lemma, in right_inverse_comp_id]
Bfunction.right_composable_value [lemma, in right_composable_value]
Bfunction.right_i_source [lemma, in right_i_source]
Bfunction.right_i_target [lemma, in right_i_target]
Bfunction.right_i_V [lemma, in right_i_V]
Bfunction.right_i_v [lemma, in right_i_v]
Bfunction.right_inverse_composeC [lemma, in right_inverse_composeC]
Bfunction.right_inv_compose_rf [lemma, in right_inv_compose_rf]
Bfunction.right_inv_compose_rf2C [lemma, in right_inv_compose_rf2C]
Bfunction.right_inverseC [definition, in right_inverseC]
Bfunction.right_inverse_from_left [lemma, in right_inverse_from_left]
Bfunction.right_composable_valueC [lemma, in right_composable_valueC]
Bfunction.right_inverse_fi [lemma, in right_inverse_fi]
Bfunction.right_inverse_pr [lemma, in right_inverse_pr]
Bfunction.same_Vf [definition, in same_Vf]
Bfunction.same_graph_agrees [lemma, in same_graph_agrees]
Bfunction.second_proj [definition, in second_proj]
Bfunction.second_proj_fs [lemma, in second_proj_fs]
Bfunction.second_proj_V [lemma, in second_proj_V]
Bfunction.second_proj_f [lemma, in second_proj_f]
Bfunction.section_uniqueC [lemma, in section_uniqueC]
Bfunction.section_unique [lemma, in section_unique]
Bfunction.setU1_restr [lemma, in setU1_restr]
Bfunction.sub_inv_im_source [lemma, in sub_inv_im_source]
Bfunction.sub_function [lemma, in sub_function]
Bfunction.sub_image_targetC [lemma, in sub_image_targetC]
Bfunction.surjection [definition, in surjection]
Bfunction.surjection_prop [definition, in surjection_prop]
Bfunction.surjectiveC [definition, in surjectiveC]
Bfunction.surjective_pr [lemma, in surjective_pr]
Bfunction.surjective_pr0 [lemma, in surjective_pr0]
Bfunction.surjective_pr1 [lemma, in surjective_pr1]
Bfunction.surjective_pr3 [lemma, in surjective_pr3]
Bfunction.surjective_pr4 [lemma, in surjective_pr4]
Bfunction.surjective_pr5 [lemma, in surjective_pr5]
Bfunction.surjective_ext_to_prod2C [lemma, in surjective_ext_to_prod2C]
Bfunction.surj_function [lemma, in surj_function]
Bfunction.surj_if_exists_right_inv [lemma, in surj_if_exists_right_inv]
Bfunction.surj_left_compose2C [lemma, in surj_left_compose2C]
Bfunction.surj_if_exists_right_invC [lemma, in surj_if_exists_right_invC]
Bfunction.surj_left_composeCl [lemma, in surj_left_composeCl]
Bfunction.Vf [definition, in Vf]
Bfunction.Vf_pr.f [variable, in f]
Bfunction.Vf_pr.ff [variable, in ff]
Bfunction.Vf_target [lemma, in Vf_target]
Bfunction.Vf_image_P [lemma, in Vf_image_P]
Bfunction.Vf_pr2 [lemma, in Vf_pr2]
Bfunction.Vf_pr3 [lemma, in Vf_pr3]
Bfunction.Vf_pr [lemma, in Vf_pr]
Bfunction.Vf_pr [section, in Vf_pr]
Bfunction.Vf_image_P1 [lemma, in Vf_image_P1]
Bfunction.Vf_range_g [lemma, in Vf_range_g]
Bfunction.Vf_mapping [lemma, in Vf_mapping]
_ =1f _ (fun_scope) [notation, in :fun_scope:x_'=1f'_x]
_ \Eq _ [notation, in ::x_'\Eq'_x]
_ \coP _ [notation, in ::x_'\coP'_x]
BigOps [section, in BigOps]
BigOps.idx [variable, in idx]
BigOps.op [variable, in op]
BigOps.R [variable, in R]
bigop_simpl1 [lemma, in bigop_simpl1]
big_ord1 [lemma, in big_ord1]
big_ord_rev [lemma, in big_ord_rev]
binn [lemma, in binn]
binom_exchange [lemma, in binom_exchange]
binom_mn_n [lemma, in binom_mn_n]
binom_exchange1 [lemma, in binom_exchange1]
bin_vandermonde [lemma, in bin_vandermonde]
bin2' [lemma, in bin2']
Border [module, in Border]
Border.adjoin_greatest [lemma, in adjoin_greatest]
Border.axioms_of_order [lemma, in axioms_of_order]
Border.bounded_both [definition, in bounded_both]
Border.bounded_above_sub [lemma, in bounded_above_sub]
Border.bounded_below [definition, in bounded_below]
Border.bounded_above [definition, in bounded_above]
Border.bounded_interval [definition, in bounded_interval]
Border.bounded_below_sub [lemma, in bounded_below_sub]
Border.bounded_both_sub [lemma, in bounded_both_sub]
Border.closed_interval [definition, in closed_interval]
Border.coarser [definition, in coarser]
Border.coarser_osr [lemma, in coarser_osr]
Border.coarser_preorder [definition, in coarser_preorder]
Border.coarser_preorder_osr [lemma, in coarser_preorder_osr]
Border.coarser_preorder_gleP [lemma, in coarser_preorder_gleP]
Border.coarser_preorder_gleP1 [lemma, in coarser_preorder_gleP1]
Border.coarser_gleP [lemma, in coarser_gleP]
Border.cofinal [definition, in cofinal]
Border.cofinal_right_directed [lemma, in cofinal_right_directed]
Border.coinitial [definition, in coinitial]
Border.coinitial_left_directed [lemma, in coinitial_left_directed]
Border.compare_inf_sup1 [lemma, in compare_inf_sup1]
Border.compare_inf_sup2 [lemma, in compare_inf_sup2]
Border.compatible_equivalence_preorder1 [lemma, in compatible_equivalence_preorder1]
Border.compatible_equivalence_preorder [lemma, in compatible_equivalence_preorder]
Border.compose_order_morphism [lemma, in compose_order_morphism]
Border.compose_order_is [lemma, in compose_order_is]
Border.compose3_relP [lemma, in compose3_relP]
Border.constant_fun_increasing [lemma, in constant_fun_increasing]
Border.constant_fun_decreasing [lemma, in constant_fun_decreasing]
Border.decreasing_fun [definition, in decreasing_fun]
Border.decreasing_fun_reva [lemma, in decreasing_fun_reva]
Border.decreasing_fun_revb [lemma, in decreasing_fun_revb]
Border.decreasing_composition [lemma, in decreasing_composition]
Border.eao_P [lemma, in eao_P]
Border.emptyset_is_least [lemma, in emptyset_is_least]
Border.empty_interval [lemma, in empty_interval]
Border.equality_order_r [lemma, in equality_order_r]
Border.equivalence_associated_o [definition, in equivalence_associated_o]
Border.equivalence_associated_o_sr [lemma, in equivalence_associated_o_sr]
Border.equivalence_preorder1 [lemma, in equivalence_preorder1]
Border.equivalence_preorder [lemma, in equivalence_preorder]
Border.exists_greatest_cofinalP [lemma, in exists_greatest_cofinalP]
Border.exists_least_coinitialP [lemma, in exists_least_coinitialP]
Border.extension_order [definition, in extension_order]
Border.extension_orderP [lemma, in extension_orderP]
Border.extension_osr [lemma, in extension_osr]
Border.extension_order_P1 [lemma, in extension_order_P1]
Border.extension_order_P2 [lemma, in extension_order_P2]
Border.extension_order_pr [lemma, in extension_order_pr]
Border.fam_of_substrates [definition, in fam_of_substrates]
Border.fgraphs [definition, in fgraphs]
Border.fincr_prop [definition, in fincr_prop]
Border.fiso_prop [definition, in fiso_prop]
Border.fos_V [lemma, in fos_V]
Border.fos_d [lemma, in fos_d]
Border.fos_graph [lemma, in fos_graph]
Border.fsincr_prop [definition, in fsincr_prop]
Border.fsiso_prop [definition, in fsiso_prop]
Border.glbP [lemma, in glbP]
Border.glb_set0 [lemma, in glb_set0]
Border.glb_set2 [lemma, in glb_set2]
Border.gle [definition, in gle]
Border.glt [definition, in glt]
Border.gop_axioms [lemma, in gop_axioms]
Border.gop_V [lemma, in gop_V]
Border.gop_morphism [lemma, in gop_morphism]
Border.graph_of_function [definition, in graph_of_function]
Border.graph_of_function_fb [lemma, in graph_of_function_fb]
Border.graph_of_function_is [lemma, in graph_of_function_is]
Border.graph_of_function_sub [lemma, in graph_of_function_sub]
Border.graph_of_partition [definition, in graph_of_partition]
Border.graph_of_function_V [lemma, in graph_of_function_V]
Border.graph_of_function_f [lemma, in graph_of_function_f]
Border.greater_upper_bound [lemma, in greater_upper_bound]
Border.greatest [definition, in greatest]
Border.greatest_maximal [lemma, in greatest_maximal]
Border.greatest_lower_bound [definition, in greatest_lower_bound]
Border.greatest_elementP [lemma, in greatest_elementP]
Border.greatest_partition_is_greatest [lemma, in greatest_partition_is_greatest]
Border.greatest_induced [lemma, in greatest_induced]
Border.greatest_unique_maximal [lemma, in greatest_unique_maximal]
Border.greatest_right_directed [lemma, in greatest_right_directed]
Border.greatest_opposite [lemma, in greatest_opposite]
Border.greatest_is_setU [lemma, in greatest_is_setU]
Border.greatest_is_sup [lemma, in greatest_is_sup]
Border.greatest_prolongation [lemma, in greatest_prolongation]
Border.has_sup_graph [definition, in has_sup_graph]
Border.has_inf_graph [definition, in has_inf_graph]
Border.has_supremum [definition, in has_supremum]
Border.has_infimum [definition, in has_infimum]
Border.identity_is [lemma, in identity_is]
Border.identity_morphism [lemma, in identity_morphism]
Border.identity_increasing_decreasing [lemma, in identity_increasing_decreasing]
Border.increasing_fun_reva [lemma, in increasing_fun_reva]
Border.increasing_fun_revb [lemma, in increasing_fun_revb]
Border.increasing_fun [definition, in increasing_fun]
Border.inc_supremum_substrate [lemma, in inc_supremum_substrate]
Border.inc_infimum_substrate [lemma, in inc_infimum_substrate]
Border.induced_order [definition, in induced_order]
Border.inf [definition, in inf]
Border.infimum [definition, in infimum]
Border.infimum_pr [lemma, in infimum_pr]
Border.infimum_pr1 [lemma, in infimum_pr1]
Border.infimum_pr2 [lemma, in infimum_pr2]
Border.infimum_unique [lemma, in infimum_unique]
Border.infimum_singleton [lemma, in infimum_singleton]
Border.inf_comparable [lemma, in inf_comparable]
Border.inf_decreasing1 [lemma, in inf_decreasing1]
Border.inf_increasing2 [lemma, in inf_increasing2]
Border.inf_inclusion [lemma, in inf_inclusion]
Border.inf_sup_oppP [lemma, in inf_sup_oppP]
Border.inf_A1 [lemma, in inf_A1]
Border.inf_A2 [lemma, in inf_A2]
Border.inf_A3 [lemma, in inf_A3]
Border.inf_decreasing [lemma, in inf_decreasing]
Border.inf_monotone [lemma, in inf_monotone]
Border.inf_graph [definition, in inf_graph]
Border.inf_pr [lemma, in inf_pr]
Border.inf_in_product [lemma, in inf_in_product]
Border.inf_A [lemma, in inf_A]
Border.inf_C [lemma, in inf_C]
Border.inf_in_total_order [lemma, in inf_in_total_order]
Border.inf_induced1 [lemma, in inf_induced1]
Border.inf_induced2 [lemma, in inf_induced2]
Border.inf_comparable1 [lemma, in inf_comparable1]
Border.interval [definition, in interval]
Border.interval_cc [definition, in interval_cc]
Border.interval_co [definition, in interval_co]
Border.interval_cu [definition, in interval_cu]
Border.interval_oc [definition, in interval_oc]
Border.interval_oo [definition, in interval_oo]
Border.interval_ou [definition, in interval_ou]
Border.interval_uc [definition, in interval_uc]
Border.interval_uo [definition, in interval_uo]
Border.interval_uu [definition, in interval_uu]
Border.inverse_order_is [lemma, in inverse_order_is]
Border.iorder_substrate [lemma, in iorder_substrate]
Border.iorder_preorder [lemma, in iorder_preorder]
Border.iorder_trans [lemma, in iorder_trans]
Border.iorder_osr [lemma, in iorder_osr]
Border.iorder_opposite [lemma, in iorder_opposite]
Border.iorder_gle5P [lemma, in iorder_gle5P]
Border.iorder_gle6P [lemma, in iorder_gle6P]
Border.iorder_sr [lemma, in iorder_sr]
Border.iorder_gle1 [lemma, in iorder_gle1]
Border.iorder_gle2 [lemma, in iorder_gle2]
Border.iorder_gle3 [lemma, in iorder_gle3]
Border.iorder_gle4 [lemma, in iorder_gle4]
Border.iorder_gleP [lemma, in iorder_gleP]
Border.is_inf_graph_pr1 [lemma, in is_inf_graph_pr1]
Border.is_inf_graph [definition, in is_inf_graph]
Border.is_sup_graph_pr1 [lemma, in is_sup_graph_pr1]
Border.is_sup_funP [lemma, in is_sup_funP]
Border.is_sup_graph [definition, in is_sup_graph]
Border.is_inf_graphP [lemma, in is_inf_graphP]
Border.is_sup_graphP [lemma, in is_sup_graphP]
Border.is_inf_fun [definition, in is_inf_fun]
Border.is_sup_fun [definition, in is_sup_fun]
Border.is_inf_funP [lemma, in is_inf_funP]
Border.lattice [definition, in lattice]
Border.LatticeProps [section, in LatticeProps]
Border.LatticeProps.E [variable, in E]
Border.LatticeProps.lr [variable, in lr]
Border.LatticeProps.r [variable, in r]
Border.lattice_props [lemma, in lattice_props]
Border.lattice_opposite [lemma, in lattice_opposite]
Border.lattice_finite_sup1 [lemma, in lattice_finite_sup1]
Border.lattice_sup_pr [lemma, in lattice_sup_pr]
Border.lattice_inf_pr [lemma, in lattice_inf_pr]
Border.lattice_finite_inf1 [lemma, in lattice_finite_inf1]
Border.lattice_directed [lemma, in lattice_directed]
Border.least [definition, in least]
Border.least_equivalence [lemma, in least_equivalence]
Border.least_partition_is_least [lemma, in least_partition_is_least]
Border.least_minimal [lemma, in least_minimal]
Border.least_prolongation [lemma, in least_prolongation]
Border.least_unique_minimal [lemma, in least_unique_minimal]
Border.least_opposite [lemma, in least_opposite]
Border.least_greatest_pr [lemma, in least_greatest_pr]
Border.least_elementP [lemma, in least_elementP]
Border.least_induced [lemma, in least_induced]
Border.least_left_directed [lemma, in least_left_directed]
Border.least_upper_bound [definition, in least_upper_bound]
Border.least_and_greatest [lemma, in least_and_greatest]
Border.least_is_setI [lemma, in least_is_setI]
Border.least_is_inf [lemma, in least_is_inf]
Border.left_directed [definition, in left_directed]
Border.left_unbounded_interval [definition, in left_unbounded_interval]
Border.left_directed_minimal [lemma, in left_directed_minimal]
Border.left_directedP [lemma, in left_directedP]
Border.leq_lt_trans [lemma, in leq_lt_trans]
Border.lower_bound [definition, in lower_bound]
Border.lt_leq_trans [lemma, in lt_leq_trans]
Border.lt_lt_trans [lemma, in lt_lt_trans]
Border.lubP [lemma, in lubP]
Border.lub_set0 [lemma, in lub_set0]
Border.lub_set2 [lemma, in lub_set2]
Border.lu_interval [definition, in lu_interval]
Border.maximal [definition, in maximal]
Border.maximal_opp [lemma, in maximal_opp]
Border.maximal_prolongation [lemma, in maximal_prolongation]
Border.minimal [definition, in minimal]
Border.minimal_opp [lemma, in minimal_opp]
Border.minimal_inclusion [lemma, in minimal_inclusion]
Border.monotone_fun [definition, in monotone_fun]
Border.monotone_fun_reva [lemma, in monotone_fun_reva]
Border.monotone_fun_revb [lemma, in monotone_fun_revb]
Border.nonempty_closed_interval [lemma, in nonempty_closed_interval]
Border.not_le_gt [lemma, in not_le_gt]
Border.oap_pr [lemma, in oap_pr]
Border.oap_relP1 [lemma, in oap_relP1]
Border.oap_relP2 [lemma, in oap_relP2]
Border.oap_osr [lemma, in oap_osr]
Border.oap_graph [lemma, in oap_graph]
Border.ocomparable [definition, in ocomparable]
Border.open_interval [definition, in open_interval]
Border.opposite_upper_boundP [lemma, in opposite_upper_boundP]
Border.opposite_left_directedP [lemma, in opposite_left_directedP]
Border.opposite_relation [definition, in opposite_relation]
Border.opposite_lower_boundP [lemma, in opposite_lower_boundP]
Border.opposite_right_directedP [lemma, in opposite_right_directedP]
Border.opposite_is_preorder1 [lemma, in opposite_is_preorder1]
Border.opposite_order_r [lemma, in opposite_order_r]
Border.opposite_preorder_r [lemma, in opposite_preorder_r]
Border.opp_order [definition, in opp_order]
Border.opp_osr [lemma, in opp_osr]
Border.opp_gleP [lemma, in opp_gleP]
Border.opp_gltP [lemma, in opp_gltP]
Border.OrderAssociated [section, in OrderAssociated]
Border.OrderAssociated.pr [variable, in pr]
Border.OrderAssociated.r [variable, in r]
Border.OrderFunction [section, in OrderFunction]
Border.OrderFunction.or [variable, in or]
Border.OrderFunction.r [variable, in r]
Border.OrderFunction.sr [variable, in sr]
Border.OrderFunction.x [variable, in x]
Border.OrderFunction.y [variable, in y]
Border.OrderGraph [section, in OrderGraph]
Border.OrderGraph.g [variable, in g]
Border.OrderGraph.sr [variable, in sr]
Border.OrderGraph.x [variable, in x]
Border.OrderGraph.y [variable, in y]
Border.orderIR [lemma, in orderIR]
Border.orderIS [lemma, in orderIS]
Border.orderIT [lemma, in orderIT]
Border.orderP [lemma, in orderP]
Border.order_morphism_increasing [lemma, in order_morphism_increasing]
Border.order_with_greatest_pr [lemma, in order_with_greatest_pr]
Border.order_associated [definition, in order_associated]
Border.order_product_gleP [lemma, in order_product_gleP]
Border.order_morphism_siso [lemma, in order_morphism_siso]
Border.order_graph_osr [lemma, in order_graph_osr]
Border.order_isomorphism_ws [lemma, in order_isomorphism_ws]
Border.order_graph_pr1 [lemma, in order_graph_pr1]
Border.order_function_osr [lemma, in order_function_osr]
Border.order_isomorphism_incr [lemma, in order_isomorphism_incr]
Border.order_product2_P [lemma, in order_product2_P]
Border.order_morphism_sincr [lemma, in order_morphism_sincr]
Border.order_graph_r_P [lemma, in order_graph_r_P]
Border.order_transportation [lemma, in order_transportation]
Border.order_function [definition, in order_function]
Border.order_product_osr [lemma, in order_product_osr]
Border.order_isomorphism_increasing [lemma, in order_isomorphism_increasing]
Border.order_with_greatest [definition, in order_with_greatest]
Border.order_graph [definition, in order_graph]
Border.order_fam_cst [lemma, in order_fam_cst]
Border.order_graph_r [definition, in order_graph_r]
Border.order_exten [lemma, in order_exten]
Border.order_morphism [definition, in order_morphism]
Border.order_functionP [lemma, in order_functionP]
Border.order_graph_pr [lemma, in order_graph_pr]
Border.order_morphism_incr [lemma, in order_morphism_incr]
Border.order_isomorphism [definition, in order_isomorphism]
Border.order_function_is [lemma, in order_function_is]
Border.order_structure [lemma, in order_structure]
Border.order_isomorphic [definition, in order_isomorphic]
Border.order_isomorphism_sincr [lemma, in order_isomorphism_sincr]
Border.order_isomorphism_P [lemma, in order_isomorphism_P]
Border.order_isomorphism_w [lemma, in order_isomorphism_w]
Border.order_axioms [definition, in order_axioms]
Border.order_morphism_fi [lemma, in order_morphism_fi]
Border.order_product2 [definition, in order_product2]
Border.order_reflexivityP [lemma, in order_reflexivityP]
Border.order_antisymmetry [lemma, in order_antisymmetry]
Border.order_transitivity [lemma, in order_transitivity]
Border.order_product [definition, in order_product]
Border.order_product_r [definition, in order_product_r]
Border.order_function_r [definition, in order_function_r]
Border.order_function_is1 [lemma, in order_function_is1]
Border.order_isomorphism_opposite [lemma, in order_isomorphism_opposite]
Border.order_isomorphism_siso [lemma, in order_isomorphism_siso]
Border.order_fam [definition, in order_fam]
Border.order_from_rel1 [lemma, in order_from_rel1]
Border.partial_fun [definition, in partial_fun]
Border.partitions [definition, in partitions]
Border.partitionsP [lemma, in partitionsP]
Border.partition_relset [definition, in partition_relset]
Border.partition_relset_order [lemma, in partition_relset_order]
Border.partition_relset_pr1 [lemma, in partition_relset_pr1]
Border.partition_relset_aux [definition, in partition_relset_aux]
Border.partition_set_in_PP [lemma, in partition_set_in_PP]
Border.partition_relset_pr [lemma, in partition_relset_pr]
Border.part_fun [definition, in part_fun]
Border.part_relset_anti [lemma, in part_relset_anti]
Border.pfs_V [lemma, in pfs_V]
Border.pfs_f [lemma, in pfs_f]
Border.pfs_partition [lemma, in pfs_partition]
Border.preorderP [lemma, in preorderP]
Border.preorders [definition, in preorders]
Border.preordersP [lemma, in preordersP]
Border.preorder_prop1 [lemma, in preorder_prop1]
Border.preorder_reflexivity [lemma, in preorder_reflexivity]
Border.preorder_on [definition, in preorder_on]
Border.product_order_def [lemma, in product_order_def]
Border.prod_of_substrates [definition, in prod_of_substrates]
Border.prod_of_substrates_gi [lemma, in prod_of_substrates_gi]
Border.prod_of_substrates_p [lemma, in prod_of_substrates_p]
Border.prod_of_substratesP [lemma, in prod_of_substratesP]
Border.prs_is_equivalence [lemma, in prs_is_equivalence]
Border.right_directedP [lemma, in right_directedP]
Border.right_unbounded_interval [definition, in right_unbounded_interval]
Border.right_directed_maximal [lemma, in right_directed_maximal]
Border.right_directed [definition, in right_directed]
Border.ru_interval [definition, in ru_interval]
Border.semi_open_interval [definition, in semi_open_interval]
Border.setC_decreasing [lemma, in setC_decreasing]
Border.setI_i1 [lemma, in setI_i1]
Border.setI_i2 [lemma, in setI_i2]
Border.setI_i3 [lemma, in setI_i3]
Border.setI_inf [lemma, in setI_inf]
Border.setI_is_least [lemma, in setI_is_least]
Border.setI_interval [lemma, in setI_interval]
Border.setI_inf1 [lemma, in setI_inf1]
Border.setI2_4 [lemma, in setI2_4]
Border.setP_lattice [lemma, in setP_lattice]
Border.setP_lattice_pr [lemma, in setP_lattice_pr]
Border.setU_sup1 [lemma, in setU_sup1]
Border.setU_sup [lemma, in setU_sup]
Border.setU_is_greatest [lemma, in setU_is_greatest]
Border.setX_right_directed [lemma, in setX_right_directed]
Border.setX_lattice [lemma, in setX_lattice]
Border.setX_left_directed [lemma, in setX_left_directed]
Border.set_of_upper_bounds1_P [lemma, in set_of_upper_bounds1_P]
Border.set_of_upper_bounds1_decreasing [lemma, in set_of_upper_bounds1_decreasing]
Border.set_of_upper_bounds_set0 [lemma, in set_of_upper_bounds_set0]
Border.set_of_upper_bounds1 [definition, in set_of_upper_bounds1]
Border.set_of_graphs_pr [lemma, in set_of_graphs_pr]
Border.set_of_lower_bounds_set0 [lemma, in set_of_lower_bounds_set0]
Border.singleton_interval [lemma, in singleton_interval]
Border.singleton_bounded [lemma, in singleton_bounded]
Border.smaller_lower_bound [lemma, in smaller_lower_bound]
Border.strict_decreasing_fun_reva [lemma, in strict_decreasing_fun_reva]
Border.strict_decreasing_fun_revb [lemma, in strict_decreasing_fun_revb]
Border.strict_increasing_fun_reva [lemma, in strict_increasing_fun_reva]
Border.strict_increasing_fun_revb [lemma, in strict_increasing_fun_revb]
Border.strict_monotone_fun [definition, in strict_monotone_fun]
Border.strict_decreasing_from_injective [lemma, in strict_decreasing_from_injective]
Border.strict_increasing_fun [definition, in strict_increasing_fun]
Border.strict_increasing_w [lemma, in strict_increasing_w]
Border.strict_monotone_fun_reva [lemma, in strict_monotone_fun_reva]
Border.strict_monotone_fun_revb [lemma, in strict_monotone_fun_revb]
Border.strict_decreasing_w [lemma, in strict_decreasing_w]
Border.strict_increasing_from_injective [lemma, in strict_increasing_from_injective]
Border.strict_decreasing_fun [definition, in strict_decreasing_fun]
Border.strict_monotone_from_injective [lemma, in strict_monotone_from_injective]
Border.subp_gleP [lemma, in subp_gleP]
Border.subp_order [definition, in subp_order]
Border.subp_osr [lemma, in subp_osr]
Border.sub_osr [lemma, in sub_osr]
Border.sub_gleP [lemma, in sub_gleP]
Border.sub_part_relsetX [lemma, in sub_part_relsetX]
Border.sub_order_r [lemma, in sub_order_r]
Border.sub_upper_bound [lemma, in sub_upper_bound]
Border.sub_lower_bound [lemma, in sub_lower_bound]
Border.sub_order [definition, in sub_order]
Border.sup [definition, in sup]
Border.supremum [definition, in supremum]
Border.supremum_pr [lemma, in supremum_pr]
Border.supremum_singleton [lemma, in supremum_singleton]
Border.supremum_unique [lemma, in supremum_unique]
Border.supremum_pr1 [lemma, in supremum_pr1]
Border.supremum_pr2 [lemma, in supremum_pr2]
Border.sup_graph [definition, in sup_graph]
Border.sup_in_product [lemma, in sup_in_product]
Border.sup_A1 [lemma, in sup_A1]
Border.sup_A2 [lemma, in sup_A2]
Border.sup_A3 [lemma, in sup_A3]
Border.sup_induced1 [lemma, in sup_induced1]
Border.sup_induced2 [lemma, in sup_induced2]
Border.sup_increasing [lemma, in sup_increasing]
Border.sup_in_total_order [lemma, in sup_in_total_order]
Border.sup_inclusion [lemma, in sup_inclusion]
Border.sup_comparable1 [lemma, in sup_comparable1]
Border.sup_pr [lemma, in sup_pr]
Border.sup_monotone [lemma, in sup_monotone]
Border.sup_inf_oppP [lemma, in sup_inf_oppP]
Border.sup_A [lemma, in sup_A]
Border.sup_C [lemma, in sup_C]
Border.sup_increasing1 [lemma, in sup_increasing1]
Border.sup_increasing2 [lemma, in sup_increasing2]
Border.sup_extension_order1 [lemma, in sup_extension_order1]
Border.sup_extension_order2 [lemma, in sup_extension_order2]
Border.sup_comparable [lemma, in sup_comparable]
Border.symmetrize [definition, in symmetrize]
Border.the_greatest_pr [lemma, in the_greatest_pr]
Border.the_greatest_interval [lemma, in the_greatest_interval]
Border.the_greatest [definition, in the_greatest]
Border.the_least_pr2 [lemma, in the_least_pr2]
Border.the_least_interval [lemma, in the_least_interval]
Border.the_least [definition, in the_least]
Border.the_least_opposite [lemma, in the_least_opposite]
Border.the_greatest_pr2 [lemma, in the_greatest_pr2]
Border.the_least_pr [lemma, in the_least_pr]
Border.total_order_increasing_morphism [lemma, in total_order_increasing_morphism]
Border.total_order_sub [lemma, in total_order_sub]
Border.total_order_directed [lemma, in total_order_directed]
Border.total_order_monotone_injective [lemma, in total_order_monotone_injective]
Border.total_order_counterexample [lemma, in total_order_counterexample]
Border.total_orderP [lemma, in total_orderP]
Border.total_order [definition, in total_order]
Border.total_order_small [lemma, in total_order_small]
Border.total_order_morphism [lemma, in total_order_morphism]
Border.total_order_opposite [lemma, in total_order_opposite]
Border.total_order_lattice [lemma, in total_order_lattice]
Border.total_order_isomorphism [lemma, in total_order_isomorphism]
Border.total_order_pr1 [lemma, in total_order_pr1]
Border.total_order_pr2 [lemma, in total_order_pr2]
Border.unbounded_interval [definition, in unbounded_interval]
Border.unique_greatest [lemma, in unique_greatest]
Border.unique_least [lemma, in unique_least]
Border.upper_bound [definition, in upper_bound]
Border.wholeset_is_greatest [lemma, in wholeset_is_greatest]
_ \Is _ [notation, in ::x_'\Is'_x]
Bordinal [module, in Bordinal]
Bordinal.asymmetric_set [definition, in asymmetric_set]
Bordinal.CantorBernstein [lemma, in CantorBernstein]
Bordinal.Cantor_Bernstein1 [lemma, in Cantor_Bernstein1]
Bordinal.cardinal [abbreviation, in cardinal]
Bordinal.Cardinal [module, in Bordinal.Cardinal]
Bordinal.cardinalP [lemma, in cardinalP]
Bordinal.cardinalp [definition, in cardinalp]
Bordinal.CardinalSig [module, in Bordinal.CardinalSig]
Bordinal.CardinalSig.cardinal [axiom, in cardinal]
Bordinal.CardinalSig.cardinalE [axiom, in cardinalE]
Bordinal.cardinalV [definition, in cardinalV]
Bordinal.cardinalV_prop [definition, in cardinalV_prop]
Bordinal.cardinalV_unique [lemma, in cardinalV_unique]
Bordinal.cardinalV_pr0 [lemma, in cardinalV_pr0]
Bordinal.cardinalV_pr [lemma, in cardinalV_pr]
Bordinal.cardinal_fam [definition, in cardinal_fam]
Bordinal.cardinal_range [lemma, in cardinal_range]
Bordinal.cardinal_nonemptyset [lemma, in cardinal_nonemptyset]
Bordinal.cardinal_image [lemma, in cardinal_image]
Bordinal.cardinal_pr [lemma, in cardinal_pr]
Bordinal.cardinal_pr0 [lemma, in cardinal_pr0]
Bordinal.cardinal_set0 [lemma, in cardinal_set0]
Bordinal.cardinal_set [definition, in cardinal_set]
Bordinal.cardinal_irreflexive [lemma, in cardinal_irreflexive]
Bordinal.cardinal_indexed [lemma, in cardinal_indexed]
Bordinal.cardinal_nonemptyset0 [lemma, in cardinal_nonemptyset0]
Bordinal.cardinal_nonemptyset1 [lemma, in cardinal_nonemptyset1]
Bordinal.cardinal_ordinal_le [lemma, in cardinal_ordinal_le]
Bordinal.cardinal_indexedr [lemma, in cardinal_indexedr]
Bordinal.Cardinal.cardinal [definition, in cardinal]
Bordinal.Cardinal.cardinalE [lemma, in cardinalE]
Bordinal.card_12 [lemma, in card_12]
Bordinal.card_succ_pr1 [lemma, in card_succ_pr1]
Bordinal.card_succ_pr2 [lemma, in card_succ_pr2]
Bordinal.card_card [lemma, in card_card]
Bordinal.card_one [definition, in card_one]
Bordinal.card_zero [definition, in card_zero]
Bordinal.card_succ_pr [lemma, in card_succ_pr]
Bordinal.card_two [definition, in card_two]
Bordinal.card_eqP [lemma, in card_eqP]
Bordinal.card1_nz [lemma, in card1_nz]
Bordinal.card2_nz [lemma, in card2_nz]
Bordinal.constants_v [lemma, in constants_v]
Bordinal.CS_succ_o [lemma, in CS_succ_o]
Bordinal.CS_finite2 [lemma, in CS_finite2]
Bordinal.CS_succ [lemma, in CS_succ]
Bordinal.CS_finite_o [lemma, in CS_finite_o]
Bordinal.CS_omega [lemma, in CS_omega]
Bordinal.CS_cardinal [lemma, in CS_cardinal]
Bordinal.CS0 [lemma, in CS0]
Bordinal.CS1 [lemma, in CS1]
Bordinal.CS2 [lemma, in CS2]
Bordinal.decent_set [definition, in decent_set]
Bordinal.double_cardinal [lemma, in double_cardinal]
Bordinal.equipotent_to_emptyset [lemma, in equipotent_to_emptyset]
Bordinal.finite_zero [lemma, in finite_zero]
Bordinal.finite_one [lemma, in finite_one]
Bordinal.finite_oP [lemma, in finite_oP]
Bordinal.finite_succ [lemma, in finite_succ]
Bordinal.finite_set [definition, in finite_set]
Bordinal.finite_two [lemma, in finite_two]
Bordinal.finite_o_increasing [lemma, in finite_o_increasing]
Bordinal.finite_c [definition, in finite_c]
Bordinal.finite_o [definition, in finite_o]
Bordinal.infinite_c [definition, in infinite_c]
Bordinal.infinite_o [definition, in infinite_o]
Bordinal.infinite_dichot1 [lemma, in infinite_dichot1]
Bordinal.infinite_dichot2 [lemma, in infinite_dichot2]
Bordinal.infinite_pr1 [lemma, in infinite_pr1]
Bordinal.infinite_set [definition, in infinite_set]
Bordinal.infinite_card_limit1 [lemma, in infinite_card_limit1]
Bordinal.infinite_card_limit2 [lemma, in infinite_card_limit2]
Bordinal.infinite_oP [lemma, in infinite_oP]
Bordinal.infinite_nz [lemma, in infinite_nz]
Bordinal.infinite_set_pr [lemma, in infinite_set_pr]
Bordinal.infinite_o_increasing [lemma, in infinite_o_increasing]
Bordinal.infinite_set_pr1 [lemma, in infinite_set_pr1]
Bordinal.infinite_set_pr2 [lemma, in infinite_set_pr2]
Bordinal.infinite_set_pr3 [lemma, in infinite_set_pr3]
Bordinal.infinite_setP [lemma, in infinite_setP]
Bordinal.least_ordinal [definition, in least_ordinal]
Bordinal.least_ordinal1 [lemma, in least_ordinal1]
Bordinal.least_ordinal2 [lemma, in least_ordinal2]
Bordinal.least_ordinal3 [lemma, in least_ordinal3]
Bordinal.least_ordinal4 [lemma, in least_ordinal4]
Bordinal.least_ordinal6 [lemma, in least_ordinal6]
Bordinal.limit_ordinal_P1 [lemma, in limit_ordinal_P1]
Bordinal.limit_ordinal_P3 [lemma, in limit_ordinal_P3]
Bordinal.limit_ordinal_pr2 [lemma, in limit_ordinal_pr2]
Bordinal.limit_infinite [lemma, in limit_infinite]
Bordinal.limit_ordinal [definition, in limit_ordinal]
Bordinal.nat_infinite_set [lemma, in nat_infinite_set]
Bordinal.non_collectivizing_ordinal [lemma, in non_collectivizing_ordinal]
Bordinal.omega_infinitec [lemma, in omega_infinitec]
Bordinal.omega_limit [lemma, in omega_limit]
Bordinal.omega_infinite [lemma, in omega_infinite]
Bordinal.omega_P1 [lemma, in omega_P1]
Bordinal.omega_P2 [lemma, in omega_P2]
Bordinal.omega_limit0 [lemma, in omega_limit0]
Bordinal.omega_limit2 [lemma, in omega_limit2]
Bordinal.omega_limit3 [lemma, in omega_limit3]
Bordinal.omega0 [definition, in omega0]
Bordinal.omega0_pr [lemma, in omega0_pr]
Bordinal.order_le_alt2 [lemma, in order_le_alt2]
Bordinal.order_le_alt [lemma, in order_le_alt]
Bordinal.order_leR [lemma, in order_leR]
Bordinal.order_le_compatible [lemma, in order_le_compatible]
Bordinal.order_le [definition, in order_le]
Bordinal.order_cp0 [lemma, in order_cp0]
Bordinal.order_cp1 [lemma, in order_cp1]
Bordinal.order_cp2 [lemma, in order_cp2]
Bordinal.order_cp3 [lemma, in order_cp3]
Bordinal.order_le_compatible1 [lemma, in order_le_compatible1]
Bordinal.ordinal [definition, in ordinal]
Bordinal.ordinalp [definition, in ordinalp]
Bordinal.ordinal_setI [lemma, in ordinal_setI]
Bordinal.ordinal_lt_P [lemma, in ordinal_lt_P]
Bordinal.ordinal_irreflexive [lemma, in ordinal_irreflexive]
Bordinal.ordinal_isomorphism_exists [lemma, in ordinal_isomorphism_exists]
Bordinal.ordinal_le_order_r [lemma, in ordinal_le_order_r]
Bordinal.ordinal_leD1 [definition, in ordinal_leD1]
Bordinal.ordinal_o_o [lemma, in ordinal_o_o]
Bordinal.ordinal_le_P0 [lemma, in ordinal_le_P0]
Bordinal.ordinal_le_P1 [lemma, in ordinal_le_P1]
Bordinal.ordinal_o_is [lemma, in ordinal_o_is]
Bordinal.ordinal_o_or [lemma, in ordinal_o_or]
Bordinal.ordinal_sub4P [lemma, in ordinal_sub4P]
Bordinal.ordinal_le_P [lemma, in ordinal_le_P]
Bordinal.ordinal_o_sr [lemma, in ordinal_o_sr]
Bordinal.ordinal_o_tor [lemma, in ordinal_o_tor]
Bordinal.ordinal_pr1 [lemma, in ordinal_pr1]
Bordinal.ordinal_lt_pr2 [lemma, in ordinal_lt_pr2]
Bordinal.ordinal_set [definition, in ordinal_set]
Bordinal.ordinal_o_wor [lemma, in ordinal_o_wor]
Bordinal.ordinal_sub [lemma, in ordinal_sub]
Bordinal.ordinal_segment [lemma, in ordinal_segment]
Bordinal.ordinal_set_ordinal [lemma, in ordinal_set_ordinal]
Bordinal.ordinal_transitive [lemma, in ordinal_transitive]
Bordinal.ordinal_decent [lemma, in ordinal_decent]
Bordinal.ordinal_o_isu1 [lemma, in ordinal_o_isu1]
Bordinal.ordinal_o_isu2 [lemma, in ordinal_o_isu2]
Bordinal.ordinal_lt_P1 [lemma, in ordinal_lt_P1]
Bordinal.ordinal_o [definition, in ordinal_o]
Bordinal.ordinal_asymmetric [lemma, in ordinal_asymmetric]
Bordinal.ordinal_o_isu [lemma, in ordinal_o_isu]
Bordinal.ordinal_fam [definition, in ordinal_fam]
Bordinal.ordinal_same_wo [lemma, in ordinal_same_wo]
Bordinal.ordinal_trans_dec [lemma, in ordinal_trans_dec]
Bordinal.ordinal_segment1 [lemma, in ordinal_segment1]
Bordinal.ordinal_trichotomy [lemma, in ordinal_trichotomy]
Bordinal.ordinal_isomorphism_unique [lemma, in ordinal_isomorphism_unique]
Bordinal.ordinal_hi [lemma, in ordinal_hi]
Bordinal.ordinal_worder [lemma, in ordinal_worder]
Bordinal.ordinal_le [definition, in ordinal_le]
Bordinal.ordinal_lt [definition, in ordinal_lt]
Bordinal.ordinal_oa [definition, in ordinal_oa]
Bordinal.ordinal_pr [lemma, in ordinal_pr]
Bordinal.ordinal_sub2 [lemma, in ordinal_sub2]
Bordinal.ordinal_sub3 [lemma, in ordinal_sub3]
Bordinal.ordinal_ub [definition, in ordinal_ub]
Bordinal.ordo_leP [lemma, in ordo_leP]
Bordinal.ordo_ltP [lemma, in ordo_ltP]
Bordinal.ord_succ_lt [lemma, in ord_succ_lt]
Bordinal.ord_gt_ne0 [lemma, in ord_gt_ne0]
Bordinal.ord_le_to_ee [lemma, in ord_le_to_ee]
Bordinal.ord_le_to_el [lemma, in ord_le_to_el]
Bordinal.ord_zero [definition, in ord_zero]
Bordinal.ord_le_to_si [lemma, in ord_le_to_si]
Bordinal.ord_lt_leT [lemma, in ord_lt_leT]
Bordinal.ord_ub_sup [lemma, in ord_ub_sup]
Bordinal.ord_le_to_ell [lemma, in ord_le_to_ell]
Bordinal.ord_lt_ltT [lemma, in ord_lt_ltT]
Bordinal.ord_le0 [lemma, in ord_le0]
Bordinal.ord_leA [lemma, in ord_leA]
Bordinal.ord_leP [lemma, in ord_leP]
Bordinal.ord_leR [lemma, in ord_leR]
Bordinal.ord_leT [lemma, in ord_leT]
Bordinal.ord_lt0 [lemma, in ord_lt0]
Bordinal.ord_ltP [lemma, in ord_ltP]
Bordinal.ord_ne_pos [lemma, in ord_ne_pos]
Bordinal.ord_one [definition, in ord_one]
Bordinal.ord_le_ltT [lemma, in ord_le_ltT]
Bordinal.ord_ne_has0 [lemma, in ord_ne_has0]
Bordinal.ord_ltP0 [lemma, in ord_ltP0]
Bordinal.ord_succ_inj [lemma, in ord_succ_inj]
Bordinal.ord_sup_prop [lemma, in ord_sup_prop]
Bordinal.ord_leA1 [lemma, in ord_leA1]
Bordinal.ord_lt_succP [lemma, in ord_lt_succP]
Bordinal.ord_succ_ltP [lemma, in ord_succ_ltP]
Bordinal.ord_two [definition, in ord_two]
Bordinal.ord_lt_succ_succP [lemma, in ord_lt_succ_succP]
Bordinal.ord_sup_ub [lemma, in ord_sup_ub]
Bordinal.ord_ne0_pos [lemma, in ord_ne0_pos]
Bordinal.ord_le_succ_succP [lemma, in ord_le_succ_succP]
Bordinal.osuccVidpred [lemma, in osuccVidpred]
Bordinal.osucc_pr [lemma, in osucc_pr]
Bordinal.OS_succr [lemma, in OS_succr]
Bordinal.OS_cardinal [lemma, in OS_cardinal]
Bordinal.OS_omega [lemma, in OS_omega]
Bordinal.OS_ordinal [lemma, in OS_ordinal]
Bordinal.OS_sup [lemma, in OS_sup]
Bordinal.OS_succ [lemma, in OS_succ]
Bordinal.OS0 [lemma, in OS0]
Bordinal.OS1 [lemma, in OS1]
Bordinal.OS2 [lemma, in OS2]
Bordinal.ozero_least [lemma, in ozero_least]
Bordinal.predo_K [lemma, in predo_K]
Bordinal.setU1_injective_card1 [lemma, in setU1_injective_card1]
Bordinal.setU1_injective_card2 [lemma, in setU1_injective_card2]
Bordinal.succ [definition, in succ]
Bordinal.succo_K [lemma, in succo_K]
Bordinal.SuccProp [section, in SuccProp]
Bordinal.SuccProp.a [variable, in a]
Bordinal.SuccProp.b [variable, in b]
Bordinal.SuccProp.nax [variable, in nax]
Bordinal.SuccProp.nby [variable, in nby]
Bordinal.SuccProp.x [variable, in x]
Bordinal.SuccProp.y [variable, in y]
Bordinal.succ_op [definition, in succ_op]
Bordinal.succ_i [lemma, in succ_i]
Bordinal.succ_o [definition, in succ_o]
Bordinal.succ_o_zero [lemma, in succ_o_zero]
Bordinal.succ_op_pr [lemma, in succ_op_pr]
Bordinal.succ_injective_oP [lemma, in succ_injective_oP]
Bordinal.succ_injective1 [lemma, in succ_injective1]
Bordinal.succ_o_one [lemma, in succ_o_one]
Bordinal.the_ordinal_iso1 [lemma, in the_ordinal_iso1]
Bordinal.the_ordinal_iso2 [lemma, in the_ordinal_iso2]
Bordinal.the_ordinal_iso [definition, in the_ordinal_iso]
Bordinal.transitive_set [definition, in transitive_set]
Bordinal.transitive_setU [lemma, in transitive_setU]
Bordinal.trans_dec_succ [lemma, in trans_dec_succ]
Bordinal.trans_dec_setI [lemma, in trans_dec_setI]
Bordinal.trans_dec_setU [lemma, in trans_dec_setU]
Bordinal.trans_dec_set [definition, in trans_dec_set]
Bordinal.wordering_ordinal_le_pr [lemma, in wordering_ordinal_le_pr]
Bordinal.wordering_ordinal_le [lemma, in wordering_ordinal_le]
Bordinal.worder_invariance [lemma, in worder_invariance]
_ =1o _ [notation, in ::x_'=1o'_x]
_
_ <=o _ [notation, in ::x_'<=o'_x]
\csup [notation, in ::'\csup']
\opred [notation, in ::'\opred']
\osup [notation, in ::'\osup']
\0c [notation, in ::'\0c']
\0o [notation, in ::'\0o']
\1c [notation, in ::'\1c']
\1o [notation, in ::'\1o']
\2c [notation, in ::'\2c']
\2o [notation, in ::'\2o']
Bproduct [module, in Bproduct]
Bproduct.cf_injective [lemma, in cf_injective]
Bproduct.constant_functor [definition, in constant_functor]
Bproduct.cst_graph_pr [lemma, in cst_graph_pr]
Bproduct.diagonal_graphp [definition, in diagonal_graphp]
Bproduct.diagonal_graph_P [lemma, in diagonal_graph_P]
Bproduct.distrib_product2_union [lemma, in distrib_product2_union]
Bproduct.distrib_prod_intersection [lemma, in distrib_prod_intersection]
Bproduct.distrib_union2_inter [lemma, in distrib_union2_inter]
Bproduct.distrib_prod2_inter [lemma, in distrib_prod2_inter]
Bproduct.distrib_inter2_union [lemma, in distrib_inter2_union]
Bproduct.distrib_product2_inter [lemma, in distrib_product2_inter]
Bproduct.distrib_inter_union [lemma, in distrib_inter_union]
Bproduct.distrib_inter_prod_inter [lemma, in distrib_inter_prod_inter]
Bproduct.distrib_prod_union [lemma, in distrib_prod_union]
Bproduct.distrib_union_inter [lemma, in distrib_union_inter]
Bproduct.distrib_prod2_sum [lemma, in distrib_prod2_sum]
Bproduct.distrib_inter_prod [lemma, in distrib_inter_prod]
Bproduct.distrib_prod_inter2_prod [lemma, in distrib_prod_inter2_prod]
Bproduct.distrib_prod2_union [lemma, in distrib_prod2_union]
Bproduct.extension_psetX [lemma, in extension_psetX]
Bproduct.ExtMapProd [section, in ExtMapProd]
Bproduct.ExtMapProd.ax [variable, in ax]
Bproduct.ExtMapProd.f [variable, in f]
Bproduct.ExtMapProd.I [variable, in I]
Bproduct.ExtMapProd.src [variable, in src]
Bproduct.ExtMapProd.trg [variable, in trg]
Bproduct.ext_map_prod_VV [lemma, in ext_map_prod_VV]
Bproduct.ext_map_prod_taxioms [lemma, in ext_map_prod_taxioms]
Bproduct.ext_map_prod_fi [lemma, in ext_map_prod_fi]
Bproduct.ext_map_prod_fs [lemma, in ext_map_prod_fs]
Bproduct.ext_map_prod_aux [definition, in ext_map_prod_aux]
Bproduct.ext_map_prod_compose [lemma, in ext_map_prod_compose]
Bproduct.ext_map_prod [definition, in ext_map_prod]
Bproduct.ext_map_prod_axioms [definition, in ext_map_prod_axioms]
Bproduct.ext_map_prod_composable [lemma, in ext_map_prod_composable]
Bproduct.ext_map_prod_V [lemma, in ext_map_prod_V]
Bproduct.ext_map_prod_f [lemma, in ext_map_prod_f]
Bproduct.first_proj_fb [lemma, in first_proj_fb]
Bproduct.FunSetToProd [section, in FunSetToProd]
Bproduct.FunSetToProd.F [variable, in F]
Bproduct.FunSetToProd.fF [variable, in fF]
Bproduct.FunSetToProd.src [variable, in src]
Bproduct.fun_set_to_prod1 [lemma, in fun_set_to_prod1]
Bproduct.fun_set_to_prod2 [lemma, in fun_set_to_prod2]
Bproduct.fun_set_to_prod3 [lemma, in fun_set_to_prod3]
Bproduct.fun_set_to_prod4 [lemma, in fun_set_to_prod4]
Bproduct.fun_set_to_prod5 [definition, in fun_set_to_prod5]
Bproduct.fun_set_to_prod6 [lemma, in fun_set_to_prod6]
Bproduct.fun_set_to_prod7 [lemma, in fun_set_to_prod7]
Bproduct.fun_set_to_prod8 [lemma, in fun_set_to_prod8]
Bproduct.fun_set_to_prod [definition, in fun_set_to_prod]
Bproduct.graphset_P1 [lemma, in graphset_P1]
Bproduct.graphset_P2 [lemma, in graphset_P2]
Bproduct.pam_V [lemma, in pam_V]
Bproduct.pam_f [lemma, in pam_f]
Bproduct.pam_axiom [lemma, in pam_axiom]
Bproduct.pam_fb [lemma, in pam_fb]
Bproduct.pam_fi [lemma, in pam_fi]
Bproduct.partition_product [lemma, in partition_product]
Bproduct.pc_axiom0 [lemma, in pc_axiom0]
Bproduct.pc_axiom [lemma, in pc_axiom]
Bproduct.pc_V [lemma, in pc_V]
Bproduct.pc_f [lemma, in pc_f]
Bproduct.pc_VV [lemma, in pc_VV]
Bproduct.pc_fb [lemma, in pc_fb]
Bproduct.popc_axioms [lemma, in popc_axioms]
Bproduct.popc_V [lemma, in popc_V]
Bproduct.popc_target_aux [lemma, in popc_target_aux]
Bproduct.popc_fb [lemma, in popc_fb]
Bproduct.pri_axiom [lemma, in pri_axiom]
Bproduct.pri_V [lemma, in pri_V]
Bproduct.pri_f [lemma, in pri_f]
Bproduct.pri_fs [lemma, in pri_fs]
Bproduct.prj_axiom [lemma, in prj_axiom]
Bproduct.prj_V [lemma, in prj_V]
Bproduct.prj_f [lemma, in prj_f]
Bproduct.prj_VV [lemma, in prj_VV]
Bproduct.prj_fb [lemma, in prj_fb]
Bproduct.prj_fs [lemma, in prj_fs]
Bproduct.ProdProdCanon [section, in ProdProdCanon]
Bproduct.ProdProdCanon.f [variable, in f]
Bproduct.ProdProdCanon.ff [variable, in ff]
Bproduct.ProdProdCanon.ff' [variable, in ff']
Bproduct.ProdProdCanon.f' [variable, in f']
Bproduct.ProdProdCanon.sfsf [variable, in sfsf]
Bproduct.productb [definition, in productb]
Bproduct.productb_gr [lemma, in productb_gr]
Bproduct.ProductCompose [section, in ProductCompose]
Bproduct.ProductCompose.bu [variable, in bu]
Bproduct.ProductCompose.f [variable, in f]
Bproduct.ProductCompose.tudf [variable, in tudf]
Bproduct.ProductCompose.u [variable, in u]
Bproduct.productf [definition, in productf]
Bproduct.product_compose [definition, in product_compose]
Bproduct.product1 [definition, in product1]
Bproduct.product1_canon [definition, in product1_canon]
Bproduct.product2 [definition, in product2]
Bproduct.product2_canon_fb [lemma, in product2_canon_fb]
Bproduct.product2_canon [definition, in product2_canon]
Bproduct.prod_assoc_map [definition, in prod_assoc_map]
Bproduct.prod_of_fgraph [definition, in prod_of_fgraph]
Bproduct.prod_of_product_aux [definition, in prod_of_product_aux]
Bproduct.prod_of_products [definition, in prod_of_products]
Bproduct.prod_of_prod_target [definition, in prod_of_prod_target]
Bproduct.prod_of_function_V [lemma, in prod_of_function_V]
Bproduct.prod_of_function_f [lemma, in prod_of_function_f]
Bproduct.prod_assoc_axioms [definition, in prod_assoc_axioms]
Bproduct.prod_of_products_V [lemma, in prod_of_products_V]
Bproduct.prod_of_products_f [lemma, in prod_of_products_f]
Bproduct.prod_of_products_canon [definition, in prod_of_products_canon]
Bproduct.prod_assoc_map2 [lemma, in prod_assoc_map2]
Bproduct.prod_of_function_axioms [lemma, in prod_of_function_axioms]
Bproduct.pr_i [definition, in pr_i]
Bproduct.pr_j [definition, in pr_j]
Bproduct.RestrictionProduct [section, in RestrictionProduct]
Bproduct.RestrictionProduct.f [variable, in f]
Bproduct.RestrictionProduct.j [variable, in j]
Bproduct.RestrictionProduct.jdf [variable, in jdf]
Bproduct.restriction_product [definition, in restriction_product]
Bproduct.restriction_productE [lemma, in restriction_productE]
Bproduct.restriction_graph2 [lemma, in restriction_graph2]
Bproduct.setXb_ne [lemma, in setXb_ne]
Bproduct.setXb_0 [lemma, in setXb_0]
Bproduct.setXb_eq_graphset [lemma, in setXb_eq_graphset]
Bproduct.setXb_P [lemma, in setXb_P]
Bproduct.setXb_monotone1 [lemma, in setXb_monotone1]
Bproduct.setXb_monotone2 [lemma, in setXb_monotone2]
Bproduct.setXb_exten [lemma, in setXb_exten]
Bproduct.setXb_0' [lemma, in setXb_0']
Bproduct.setXb_ne2 [lemma, in setXb_ne2]
Bproduct.setXb_sub_graphset [lemma, in setXb_sub_graphset]
Bproduct.setXf_P [lemma, in setXf_P]
Bproduct.setXf_exten [lemma, in setXf_exten]
Bproduct.setX_set1 [lemma, in setX_set1]
Bproduct.setX1_P [lemma, in setX1_P]
Bproduct.setX1_pr [lemma, in setX1_pr]
Bproduct.setX1_canon_V [lemma, in setX1_canon_V]
Bproduct.setX1_canon_f [lemma, in setX1_canon_f]
Bproduct.setX1_canon_axiom [lemma, in setX1_canon_axiom]
Bproduct.setX1_pr2 [lemma, in setX1_pr2]
Bproduct.setX1_canon_fb [lemma, in setX1_canon_fb]
Bproduct.setX2_P [lemma, in setX2_P]
Bproduct.setX2_canon_V [lemma, in setX2_canon_V]
Bproduct.setX2_canon_f [lemma, in setX2_canon_f]
Bproduct.setX2_canon_axiom [lemma, in setX2_canon_axiom]
Bproduct.unionb_gr [lemma, in unionb_gr]
Bproduct.variantLc_prop [lemma, in variantLc_prop]
br [definition, in br]
Bunion [module, in Bunion]
Bunion.agrees_on_covering [lemma, in agrees_on_covering]
Bunion.candu2P [lemma, in candu2P]
Bunion.candu2_pra [lemma, in candu2_pra]
Bunion.candu2_prb [lemma, in candu2_prb]
Bunion.candu2_rw [lemma, in candu2_rw]
Bunion.candu2_pr2 [lemma, in candu2_pr2]
Bunion.canonical_du2 [definition, in canonical_du2]
Bunion.coarserA [lemma, in coarserA]
Bunion.coarserR [lemma, in coarserR]
Bunion.coarserT [lemma, in coarserT]
Bunion.coarser_cP [lemma, in coarser_cP]
Bunion.coarser_cg [definition, in coarser_cg]
Bunion.coarser_cs [definition, in coarser_cs]
Bunion.common_ext [definition, in common_ext]
Bunion.composable_for_function [lemma, in composable_for_function]
Bunion.compose3function [definition, in compose3function]
Bunion.covering [definition, in covering]
Bunion.covering_P [lemma, in covering_P]
Bunion.covering_s [definition, in covering_s]
Bunion.cover_at [definition, in cover_at]
Bunion.cover_at_in [lemma, in cover_at_in]
Bunion.cover_at_pr [lemma, in cover_at_pr]
Bunion.c3f_fb [lemma, in c3f_fb]
Bunion.c3f_fi [lemma, in c3f_fi]
Bunion.c3f_fs [lemma, in c3f_fs]
Bunion.c3f_V [lemma, in c3f_V]
Bunion.c3f_f [lemma, in c3f_f]
Bunion.c3f_axiom [lemma, in c3f_axiom]
Bunion.dirim_setI2 [lemma, in dirim_setI2]
Bunion.dirim_setIt [lemma, in dirim_setIt]
Bunion.dirim_setU2 [lemma, in dirim_setU2]
Bunion.dirim_setUt [lemma, in dirim_setUt]
Bunion.disjointU [definition, in disjointU]
Bunion.disjointU_disjoint [lemma, in disjointU_disjoint]
Bunion.disjointU_P [lemma, in disjointU_P]
Bunion.disjointU_d [lemma, in disjointU_d]
Bunion.disjointU_fam [definition, in disjointU_fam]
Bunion.disjointU_fgraph [lemma, in disjointU_fgraph]
Bunion.disjointU_hi [lemma, in disjointU_hi]
Bunion.disjointU_pi [lemma, in disjointU_pi]
Bunion.disjointU_pr [lemma, in disjointU_pr]
Bunion.disjointU2_rw1 [lemma, in disjointU2_rw1]
Bunion.disjointU2_rw [lemma, in disjointU2_rw]
Bunion.disjoint_union_lemma [lemma, in disjoint_union_lemma]
Bunion.etp_composable [lemma, in etp_composable]
Bunion.etp_identity [lemma, in etp_identity]
Bunion.etp_axiom [lemma, in etp_axiom]
Bunion.etp_compose [lemma, in etp_compose]
Bunion.etp_V [lemma, in etp_V]
Bunion.etp_f [lemma, in etp_f]
Bunion.etp_fi [lemma, in etp_fi]
Bunion.etp_fs [lemma, in etp_fs]
Bunion.extension_to_parts [definition, in extension_to_parts]
Bunion.extension_covering [lemma, in extension_covering]
Bunion.extension_partition1 [lemma, in extension_partition1]
Bunion.extension_partition2 [lemma, in extension_partition2]
Bunion.extension_partition_aux [lemma, in extension_partition_aux]
Bunion.extension_partition_thm [lemma, in extension_partition_thm]
Bunion.extension_covering_thm [lemma, in extension_covering_thm]
Bunion.first_partial_map [definition, in first_partial_map]
Bunion.first_partial_fun [definition, in first_partial_fun]
Bunion.first_partial_function [definition, in first_partial_function]
Bunion.fpfa_axiom [lemma, in fpfa_axiom]
Bunion.fpfa_V [lemma, in fpfa_V]
Bunion.fpfa_f [lemma, in fpfa_f]
Bunion.fpfa_fb [lemma, in fpfa_fb]
Bunion.fpfb_axiom [lemma, in fpfb_axiom]
Bunion.fpfb_V [lemma, in fpfb_V]
Bunion.fpfb_f [lemma, in fpfb_f]
Bunion.fpfb_VV [lemma, in fpfb_VV]
Bunion.fpf_V [lemma, in fpf_V]
Bunion.fpf_f [lemma, in fpf_f]
Bunion.fpf_axiom [lemma, in fpf_axiom]
Bunion.functions [definition, in functions]
Bunion.function_prop_sub [definition, in function_prop_sub]
Bunion.function_exten5 [lemma, in function_exten5]
Bunion.fun_set_ne [lemma, in fun_set_ne]
Bunion.fun_set_P [lemma, in fun_set_P]
Bunion.fun_set_small_source [lemma, in fun_set_small_source]
Bunion.fun_set_small_target [lemma, in fun_set_small_target]
Bunion.fun_set_equipotent [lemma, in fun_set_equipotent]
Bunion.gfunctions [definition, in gfunctions]
Bunion.gfun_set_i [lemma, in gfun_set_i]
Bunion.gfun_set_hi [lemma, in gfun_set_hi]
Bunion.graph_fb [lemma, in graph_fb]
Bunion.graph_lf_axiom [lemma, in graph_lf_axiom]
Bunion.greatest_partition [definition, in greatest_partition]
Bunion.greatest_partition_P [lemma, in greatest_partition_P]
Bunion.greatest_is_partition [lemma, in greatest_is_partition]
Bunion.iim_fun_C1 [lemma, in iim_fun_C1]
Bunion.iim_fun_setI2 [lemma, in iim_fun_setI2]
Bunion.iim_fun_setIt [lemma, in iim_fun_setIt]
Bunion.image_of_covering [lemma, in image_of_covering]
Bunion.injective_graph [definition, in injective_graph]
Bunion.injective_partition [lemma, in injective_partition]
Bunion.inj_image_setIt [lemma, in inj_image_setIt]
Bunion.inj_image_C [lemma, in inj_image_C]
Bunion.intersectionb [definition, in intersectionb]
Bunion.intersectionf [definition, in intersectionf]
Bunion.intersectiont [definition, in intersectiont]
Bunion.intersection_covering2 [definition, in intersection_covering2]
Bunion.intersection_covering [definition, in intersection_covering]
Bunion.inv_image_of_covering [lemma, in inv_image_of_covering]
Bunion.inv_image_disjoint [lemma, in inv_image_disjoint]
Bunion.is_partition_with_complement [lemma, in is_partition_with_complement]
Bunion.least_is_partition [lemma, in least_is_partition]
Bunion.least_partition [definition, in least_partition]
Bunion.mutually_disjoint [definition, in mutually_disjoint]
Bunion.mutually_disjoint_prop1 [lemma, in mutually_disjoint_prop1]
Bunion.mutually_disjoint_prop2 [lemma, in mutually_disjoint_prop2]
Bunion.mutually_disjoint_prop [lemma, in mutually_disjoint_prop]
Bunion.nonempty_fam [definition, in nonempty_fam]
Bunion.partial_fun_axiom_pr [lemma, in partial_fun_axiom_pr]
Bunion.partial_fun_axiom [definition, in partial_fun_axiom]
Bunion.partitions_is_covering [lemma, in partitions_is_covering]
Bunion.partition_fam_is_covering [lemma, in partition_fam_is_covering]
Bunion.partition_with_complement [definition, in partition_with_complement]
Bunion.partition_same2 [lemma, in partition_same2]
Bunion.partition_s [definition, in partition_s]
Bunion.partition_w [definition, in partition_w]
Bunion.partition_same [lemma, in partition_same]
Bunion.partition_s_fam [definition, in partition_s_fam]
Bunion.partition_fam_partition [lemma, in partition_fam_partition]
Bunion.partition_disjointU [lemma, in partition_disjointU]
Bunion.partition_w_fam [definition, in partition_w_fam]
Bunion.permutations [definition, in permutations]
Bunion.product_of_covering [lemma, in product_of_covering]
Bunion.same_cover_at [lemma, in same_cover_at]
Bunion.second_partial_function [definition, in second_partial_function]
Bunion.second_partial_map [definition, in second_partial_map]
Bunion.second_partial_fun [definition, in second_partial_fun]
Bunion.setCIf2 [lemma, in setCIf2]
Bunion.setCIt2 [lemma, in setCIt2]
Bunion.setCUf2 [lemma, in setCUf2]
Bunion.setCUt2 [lemma, in setCUt2]
Bunion.setIb_hi [lemma, in setIb_hi]
Bunion.setIb_identity [lemma, in setIb_identity]
Bunion.setIb_alt [lemma, in setIb_alt]
Bunion.setIb_rewrite [lemma, in setIb_rewrite]
Bunion.setIb_0 [lemma, in setIb_0]
Bunion.setIb_P [lemma, in setIb_P]
Bunion.setIb_i [lemma, in setIb_i]
Bunion.setIf_exten [lemma, in setIf_exten]
Bunion.setIf_hi [lemma, in setIf_hi]
Bunion.setIf_0 [lemma, in setIf_0]
Bunion.setIf_1 [lemma, in setIf_1]
Bunion.setIf_A [lemma, in setIf_A]
Bunion.setIf_P [lemma, in setIf_P]
Bunion.setIf_S [lemma, in setIf_S]
Bunion.setIf_i [lemma, in setIf_i]
Bunion.setIf2 [lemma, in setIf2]
Bunion.setIf2f [lemma, in setIf2f]
Bunion.setIg_constant [lemma, in setIg_constant]
Bunion.setIt_rewrite [lemma, in setIt_rewrite]
Bunion.setIt_0 [lemma, in setIt_0]
Bunion.setIt_1 [lemma, in setIt_1]
Bunion.setIt_P [lemma, in setIt_P]
Bunion.setIt_S [lemma, in setIt_S]
Bunion.setIt_i [lemma, in setIt_i]
Bunion.setIt_sub2 [lemma, in setIt_sub2]
Bunion.setIt_exten [lemma, in setIt_exten]
Bunion.setIt_hi [lemma, in setIt_hi]
Bunion.setIt_s1 [lemma, in setIt_s1]
Bunion.setIt_s2 [lemma, in setIt_s2]
Bunion.setIt_constant [lemma, in setIt_constant]
Bunion.setI_coarser2_clr [lemma, in setI_coarser2_clr]
Bunion.setI_covering2 [lemma, in setI_covering2]
Bunion.setI_coarser2_cl [lemma, in setI_coarser2_cl]
Bunion.setI_coarser2_cr [lemma, in setI_coarser2_cr]
Bunion.setI_covering [lemma, in setI_covering]
Bunion.setI_covering2_P [lemma, in setI_covering2_P]
Bunion.setI_coarser_cl [lemma, in setI_coarser_cl]
Bunion.setI_coarser_cr [lemma, in setI_coarser_cr]
Bunion.setI_prop [lemma, in setI_prop]
Bunion.setI_coarser_clr [lemma, in setI_coarser_clr]
Bunion.setI_P [lemma, in setI_P]
Bunion.setUb_rewrite [lemma, in setUb_rewrite]
Bunion.setUb_P1 [lemma, in setUb_P1]
Bunion.setUb_hi [lemma, in setUb_hi]
Bunion.setUb_rewrite1 [lemma, in setUb_rewrite1]
Bunion.setUb_alt [lemma, in setUb_alt]
Bunion.setUb_identity [lemma, in setUb_identity]
Bunion.setUb_0 [lemma, in setUb_0]
Bunion.setUb_P [lemma, in setUb_P]
Bunion.setUb_i [lemma, in setUb_i]
Bunion.setUf_hi [lemma, in setUf_hi]
Bunion.setUf_0 [lemma, in setUf_0]
Bunion.setUf_1 [lemma, in setUf_1]
Bunion.setUf_A [lemma, in setUf_A]
Bunion.setUf_P [lemma, in setUf_P]
Bunion.setUf_i [lemma, in setUf_i]
Bunion.setUf_exten [lemma, in setUf_exten]
Bunion.setUf_S2 [lemma, in setUf_S2]
Bunion.setUf2 [lemma, in setUf2]
Bunion.setUf2f [lemma, in setUf2f]
Bunion.setUg_constant [lemma, in setUg_constant]
Bunion.setUt_constant [lemma, in setUt_constant]
Bunion.setUt_s1 [lemma, in setUt_s1]
Bunion.setUt_s2 [lemma, in setUt_s2]
Bunion.setUt_rewrite [lemma, in setUt_rewrite]
Bunion.setUt_sub2 [lemma, in setUt_sub2]
Bunion.setUt_exten [lemma, in setUt_exten]
Bunion.setUt_0 [lemma, in setUt_0]
Bunion.setUt_1 [lemma, in setUt_1]
Bunion.setUt_S [lemma, in setUt_S]
Bunion.setUt_i [lemma, in setUt_i]
Bunion.setU_prop [lemma, in setU_prop]
Bunion.sfun_set_P [lemma, in sfun_set_P]
Bunion.spfa_axiom [lemma, in spfa_axiom]
Bunion.spfa_fb [lemma, in spfa_fb]
Bunion.spfa_V [lemma, in spfa_V]
Bunion.spfa_f [lemma, in spfa_f]
Bunion.spfb_VV [lemma, in spfb_VV]
Bunion.spfb_axiom [lemma, in spfb_axiom]
Bunion.spfb_V [lemma, in spfb_V]
Bunion.spfb_f [lemma, in spfb_f]
Bunion.spf_axiom [lemma, in spf_axiom]
Bunion.spf_V [lemma, in spf_V]
Bunion.spf_f [lemma, in spf_f]
Bunion.sub_functions [definition, in sub_functions]
Bunion.sub_covering [lemma, in sub_covering]
Bunion.unionb [definition, in unionb]
Bunion.unionf [definition, in unionf]
Bunion.variant [definition, in variant]
Bunion.varianti [definition, in varianti]
Bunion.varianti_out [lemma, in varianti_out]
Bunion.varianti_in [lemma, in varianti_in]
Bunion.variantL [definition, in variantL]
Bunion.variantLc [definition, in variantLc]
Bunion.variantLc_comp [lemma, in variantLc_comp]
Bunion.variantLc_d [lemma, in variantLc_d]
Bunion.variantLc_domain_ne [lemma, in variantLc_domain_ne]
Bunion.variantLc_fgraph [lemma, in variantLc_fgraph]
Bunion.variant_d [lemma, in variant_d]
Bunion.variant_V_a [lemma, in variant_V_a]
Bunion.variant_V_b [lemma, in variant_V_b]
Bunion.variant_false [lemma, in variant_false]
Bunion.variant_true1 [lemma, in variant_true1]
Bunion.variant_false1 [lemma, in variant_false1]
Bunion.variant_fgraph [lemma, in variant_fgraph]
Bunion.variant_true [lemma, in variant_true]
Bunion.variant_V_ca [lemma, in variant_V_ca]
Bunion.variant_V_cb [lemma, in variant_V_cb]
BZdvd_latticeD [lemma, in BZdvd_latticeD]
C
CantorOrdinal [module, in CantorOrdinal]CantorOrdinal.addC_CE [lemma, in addC_CE]
CantorOrdinal.add_normal [lemma, in add_normal]
CantorOrdinal.add_simpl1 [lemma, in add_simpl1]
CantorOrdinal.add_simpl2 [lemma, in add_simpl2]
CantorOrdinal.add_simpl3 [lemma, in add_simpl3]
CantorOrdinal.add_to_cons [lemma, in add_to_cons]
CantorOrdinal.add_fin_omega [lemma, in add_fin_omega]
CantorOrdinal.add_inj [lemma, in add_inj]
CantorOrdinal.add_int [lemma, in add_int]
CantorOrdinal.add_le1 [lemma, in add_le1]
CantorOrdinal.add_le2 [lemma, in add_le2]
CantorOrdinal.add_le3 [lemma, in add_le3]
CantorOrdinal.add_le4 [lemma, in add_le4]
CantorOrdinal.add1Nfin [lemma, in add1Nfin]
CantorOrdinal.ap_pr2CE [lemma, in ap_pr2CE]
CantorOrdinal.ap_pr0 [lemma, in ap_pr0]
CantorOrdinal.ap_pr1 [lemma, in ap_pr1]
CantorOrdinal.ap_pr2 [lemma, in ap_pr2]
CantorOrdinal.ap_pr3 [lemma, in ap_pr3]
CantorOrdinal.ap_pr4 [lemma, in ap_pr4]
CantorOrdinal.cantorCE2 [lemma, in cantorCE2]
CantorOrdinal.cantorCE3 [lemma, in cantorCE3]
CantorOrdinal.cantor_unique [lemma, in cantor_unique]
CantorOrdinal.cantor_exists [lemma, in cantor_exists]
CantorOrdinal.cantor_CE1 [lemma, in cantor_CE1]
CantorOrdinal.CompareT1Eq [constructor, in CompareT1Eq]
CantorOrdinal.CompareT1Gt [constructor, in CompareT1Gt]
CantorOrdinal.CompareT1Lt [constructor, in CompareT1Lt]
CantorOrdinal.compare_T1 [inductive, in compare_T1]
CantorOrdinal.cons [constructor, in cons]
CantorOrdinal.div_by_omega_pr [lemma, in div_by_omega_pr]
CantorOrdinal.expF_mul [lemma, in expF_mul]
CantorOrdinal.expF_add [lemma, in expF_add]
CantorOrdinal.expF_1n [lemma, in expF_1n]
CantorOrdinal.expF_eq0 [lemma, in expF_eq0]
CantorOrdinal.expF_eq1 [lemma, in expF_eq1]
CantorOrdinal.expO_1n [lemma, in expO_1n]
CantorOrdinal.expO_add [lemma, in expO_add]
CantorOrdinal.expO_n0 [lemma, in expO_n0]
CantorOrdinal.expO_eq0 [lemma, in expO_eq0]
CantorOrdinal.expO_eq1 [lemma, in expO_eq1]
CantorOrdinal.expO_mul1 [lemma, in expO_mul1]
CantorOrdinal.expx_nat [lemma, in expx_nat]
CantorOrdinal.expx_pnat [lemma, in expx_pnat]
CantorOrdinal.expx0 [lemma, in expx0]
CantorOrdinal.expx1 [lemma, in expx1]
CantorOrdinal.expx1CE [lemma, in expx1CE]
CantorOrdinal.exp_consCE1 [lemma, in exp_consCE1]
CantorOrdinal.exp_sum [lemma, in exp_sum]
CantorOrdinal.exp_eq0 [lemma, in exp_eq0]
CantorOrdinal.exp_eq1 [lemma, in exp_eq1]
CantorOrdinal.exp_FO1 [lemma, in exp_FO1]
CantorOrdinal.exp_FO2 [lemma, in exp_FO2]
CantorOrdinal.exp_FO3 [lemma, in exp_FO3]
CantorOrdinal.exp_prod [lemma, in exp_prod]
CantorOrdinal.exp_int [lemma, in exp_int]
CantorOrdinal.exp_FO [lemma, in exp_FO]
CantorOrdinal.exp_F [definition, in exp_F]
CantorOrdinal.exp_O [definition, in exp_O]
CantorOrdinal.exp0nz [lemma, in exp0nz]
CantorOrdinal.exp00 [lemma, in exp00]
CantorOrdinal.exp1x [lemma, in exp1x]
CantorOrdinal.exp2omega [lemma, in exp2omega]
CantorOrdinal.ex_middle [definition, in ex_middle]
CantorOrdinal.ex_middle_pick [lemma, in ex_middle_pick]
CantorOrdinal.fincP [lemma, in fincP]
CantorOrdinal.fooCE [lemma, in fooCE]
CantorOrdinal.head_lt_cons [lemma, in head_lt_cons]
CantorOrdinal.le_succ_succ [lemma, in le_succ_succ]
CantorOrdinal.le_succ_succE [lemma, in le_succ_succE]
CantorOrdinal.limit_of [definition, in limit_of]
CantorOrdinal.limit_pr [lemma, in limit_pr]
CantorOrdinal.limit_unique [lemma, in limit_unique]
CantorOrdinal.limit_v1 [definition, in limit_v1]
CantorOrdinal.limit_v2 [definition, in limit_v2]
CantorOrdinal.limit_prop [lemma, in limit_prop]
CantorOrdinal.limit_CE1 [lemma, in limit_CE1]
CantorOrdinal.limit_CE2 [lemma, in limit_CE2]
CantorOrdinal.limit_CE3 [lemma, in limit_CE3]
CantorOrdinal.limit_fct [definition, in limit_fct]
CantorOrdinal.limit_lub [lemma, in limit_lub]
CantorOrdinal.limit_pr1 [lemma, in limit_pr1]
CantorOrdinal.limit_unique1 [lemma, in limit_unique1]
CantorOrdinal.limit_unique2 [lemma, in limit_unique2]
CantorOrdinal.limit1 [lemma, in limit1]
CantorOrdinal.limit2 [lemma, in limit2]
CantorOrdinal.limit3 [lemma, in limit3]
CantorOrdinal.lt_succ_succE [lemma, in lt_succ_succE]
CantorOrdinal.lt_succ_succ [lemma, in lt_succ_succ]
CantorOrdinal.lt_succ_le_1 [lemma, in lt_succ_le_1]
CantorOrdinal.lt_succ_le_2 [lemma, in lt_succ_le_2]
CantorOrdinal.lt_succ_le_3 [lemma, in lt_succ_le_3]
CantorOrdinal.lt_succ_le_4 [lemma, in lt_succ_le_4]
CantorOrdinal.lt_not_wf [lemma, in lt_not_wf]
CantorOrdinal.lt_succ2CE [lemma, in lt_succ2CE]
CantorOrdinal.minus_le [lemma, in minus_le]
CantorOrdinal.minus_lt [lemma, in minus_lt]
CantorOrdinal.min_exists [lemma, in min_exists]
CantorOrdinal.mulA [lemma, in mulA]
CantorOrdinal.mulnf0 [lemma, in mulnf0]
CantorOrdinal.mul_omega2_pr1 [lemma, in mul_omega2_pr1]
CantorOrdinal.mul_omega_pr1 [lemma, in mul_omega_pr1]
CantorOrdinal.mul_omega_pr3 [lemma, in mul_omega_pr3]
CantorOrdinal.mul_int_limit [lemma, in mul_int_limit]
CantorOrdinal.mul_fin_omega [lemma, in mul_fin_omega]
CantorOrdinal.mul_int [lemma, in mul_int]
CantorOrdinal.mul_distr [lemma, in mul_distr]
CantorOrdinal.mul_phi0 [lemma, in mul_phi0]
CantorOrdinal.mul_omega_limit [lemma, in mul_omega_limit]
CantorOrdinal.mul_succ [lemma, in mul_succ]
CantorOrdinal.mul_na [lemma, in mul_na]
CantorOrdinal.mul_sum_omega [lemma, in mul_sum_omega]
CantorOrdinal.nf_sub [lemma, in nf_sub]
CantorOrdinal.nf_pred [lemma, in nf_pred]
CantorOrdinal.nf_div_by_omega [lemma, in nf_div_by_omega]
CantorOrdinal.nf_rev_prod [lemma, in nf_rev_prod]
CantorOrdinal.nf_toNF [lemma, in nf_toNF]
CantorOrdinal.nf_exp [lemma, in nf_exp]
CantorOrdinal.nf_split [lemma, in nf_split]
CantorOrdinal.nf_rev_sum [lemma, in nf_rev_sum]
CantorOrdinal.nf_Wf [lemma, in nf_Wf]
CantorOrdinal.nf_Wf' [lemma, in nf_Wf']
CantorOrdinal.nf_expF [lemma, in nf_expF]
CantorOrdinal.nf_expO [lemma, in nf_expO]
CantorOrdinal.nf_omega [lemma, in nf_omega]
CantorOrdinal.nf_phi0 [lemma, in nf_phi0]
CantorOrdinal.nf_succ [lemma, in nf_succ]
CantorOrdinal.nf_log [lemma, in nf_log]
CantorOrdinal.nf_rev_unique [lemma, in nf_rev_unique]
CantorOrdinal.nf_mul [lemma, in nf_mul]
CantorOrdinal.nf_omega_plus_n [lemma, in nf_omega_plus_n]
CantorOrdinal.nf_finite [lemma, in nf_finite]
CantorOrdinal.nf_revCE [lemma, in nf_revCE]
CantorOrdinal.nf_rev [lemma, in nf_rev]
CantorOrdinal.nf_add [lemma, in nf_add]
CantorOrdinal.normal [definition, in normal]
CantorOrdinal.normal_id [lemma, in normal_id]
CantorOrdinal.normal_limit [lemma, in normal_limit]
CantorOrdinal.normal_compose [lemma, in normal_compose]
CantorOrdinal.omega_tower_nf [lemma, in omega_tower_nf]
CantorOrdinal.omega_tower_unbounded [lemma, in omega_tower_unbounded]
CantorOrdinal.omega_tower [definition, in omega_tower]
CantorOrdinal.omega_plus_n [definition, in omega_plus_n]
CantorOrdinal.omega_minus_one [lemma, in omega_minus_one]
CantorOrdinal.one [definition, in one]
CantorOrdinal.phi0 [definition, in phi0]
CantorOrdinal.phi0_log [lemma, in phi0_log]
CantorOrdinal.phi0_lt1 [lemma, in phi0_lt1]
CantorOrdinal.phi0_le [lemma, in phi0_le]
CantorOrdinal.phi0_lt [lemma, in phi0_lt]
CantorOrdinal.phi1 [definition, in phi1]
CantorOrdinal.phi2 [definition, in phi2]
CantorOrdinal.phi3 [definition, in phi3]
CantorOrdinal.plus_int_Ox [lemma, in plus_int_Ox]
CantorOrdinal.pow_mon1 [lemma, in pow_mon1]
CantorOrdinal.pow_mon2 [lemma, in pow_mon2]
CantorOrdinal.pow_mon3 [lemma, in pow_mon3]
CantorOrdinal.pow_omega [lemma, in pow_omega]
CantorOrdinal.pred_le [lemma, in pred_le]
CantorOrdinal.pred_lt [lemma, in pred_lt]
CantorOrdinal.pred_succ [lemma, in pred_succ]
CantorOrdinal.pred_succ_CE [lemma, in pred_succ_CE]
CantorOrdinal.split_succ [lemma, in split_succ]
CantorOrdinal.split_is_succ [lemma, in split_is_succ]
CantorOrdinal.split_limit1 [lemma, in split_limit1]
CantorOrdinal.split_finite [lemma, in split_finite]
CantorOrdinal.split_add [lemma, in split_add]
CantorOrdinal.split_pred [lemma, in split_pred]
CantorOrdinal.split_le [lemma, in split_le]
CantorOrdinal.split_limit [lemma, in split_limit]
CantorOrdinal.sub_nz [lemma, in sub_nz]
CantorOrdinal.sub_pr [lemma, in sub_pr]
CantorOrdinal.sub_pr1 [lemma, in sub_pr1]
CantorOrdinal.sub_pr1r [lemma, in sub_pr1r]
CantorOrdinal.sub_1aCE [lemma, in sub_1aCE]
CantorOrdinal.sub_1bCE [lemma, in sub_1bCE]
CantorOrdinal.sub_nzCE [lemma, in sub_nzCE]
CantorOrdinal.sub_pr1rCE [lemma, in sub_pr1rCE]
CantorOrdinal.sub_pr1CE [lemma, in sub_pr1CE]
CantorOrdinal.sub_int [lemma, in sub_int]
CantorOrdinal.sub_le1 [lemma, in sub_le1]
CantorOrdinal.sub1a [lemma, in sub1a]
CantorOrdinal.sub1b [lemma, in sub1b]
CantorOrdinal.sub1Nfin [lemma, in sub1Nfin]
CantorOrdinal.succ_is_add_one [lemma, in succ_is_add_one]
CantorOrdinal.succ_injCE [lemma, in succ_injCE]
CantorOrdinal.succ_inj [lemma, in succ_inj]
CantorOrdinal.succ_lt [lemma, in succ_lt]
CantorOrdinal.succ_p1 [lemma, in succ_p1]
CantorOrdinal.succ_pred [lemma, in succ_pred]
CantorOrdinal.succ_predCE [lemma, in succ_predCE]
CantorOrdinal.sup [definition, in sup]
CantorOrdinal.sup_Oalpha_limit [lemma, in sup_Oalpha_limit]
CantorOrdinal.sup_unique [lemma, in sup_unique]
CantorOrdinal.sup_Oalpha_zero [lemma, in sup_Oalpha_zero]
CantorOrdinal.sup_Oalpha_succ [lemma, in sup_Oalpha_succ]
CantorOrdinal.tail_lt_cons [lemma, in tail_lt_cons]
CantorOrdinal.Tf [abbreviation, in Tf]
CantorOrdinal.toNF [definition, in toNF]
CantorOrdinal.toNF_nf [lemma, in toNF_nf]
CantorOrdinal.toNF_nz [lemma, in toNF_nz]
CantorOrdinal.toNF_ex1 [lemma, in toNF_ex1]
CantorOrdinal.toNF_ex2 [lemma, in toNF_ex2]
CantorOrdinal.toNF_pred [lemma, in toNF_pred]
CantorOrdinal.toNF_mon [lemma, in toNF_mon]
CantorOrdinal.toNF_succ [lemma, in toNF_succ]
CantorOrdinal.T1 [inductive, in T1]
CantorOrdinal.T1add [definition, in T1add]
CantorOrdinal.T1addA [lemma, in T1addA]
CantorOrdinal.T1addn0 [lemma, in T1addn0]
CantorOrdinal.T1addS [lemma, in T1addS]
CantorOrdinal.T1add_eq0 [lemma, in T1add_eq0]
CantorOrdinal.T1add0n [lemma, in T1add0n]
CantorOrdinal.T1ap [definition, in T1ap]
CantorOrdinal.T1ap_phi0 [lemma, in T1ap_phi0]
CantorOrdinal.T1bad [definition, in T1bad]
CantorOrdinal.T1div_by_omega [definition, in T1div_by_omega]
CantorOrdinal.T1eq [definition, in T1eq]
CantorOrdinal.T1eqE [lemma, in T1eqE]
CantorOrdinal.T1eqP [lemma, in T1eqP]
CantorOrdinal.T1eq_add2l [lemma, in T1eq_add2l]
CantorOrdinal.T1eq_le [lemma, in T1eq_le]
CantorOrdinal.T1eq_mul2l [lemma, in T1eq_mul2l]
CantorOrdinal.T1exp [definition, in T1exp]
CantorOrdinal.T1finite [definition, in T1finite]
CantorOrdinal.T1finite_succ [lemma, in T1finite_succ]
CantorOrdinal.T1finite1 [lemma, in T1finite1]
CantorOrdinal.T1finite2 [lemma, in T1finite2]
CantorOrdinal.T1finite2CE [lemma, in T1finite2CE]
CantorOrdinal.T1F_inj [lemma, in T1F_inj]
CantorOrdinal.T1GeqNotGtn [constructor, in T1GeqNotGtn]
CantorOrdinal.T1GeqNotLtn [constructor, in T1GeqNotLtn]
CantorOrdinal.T1ge1 [lemma, in T1ge1]
CantorOrdinal.T1GtnNotLeq [constructor, in T1GtnNotLeq]
CantorOrdinal.T1is_succ [definition, in T1is_succ]
CantorOrdinal.T1le [definition, in T1le]
CantorOrdinal.T1leNgt [lemma, in T1leNgt]
CantorOrdinal.T1lenn [lemma, in T1lenn]
CantorOrdinal.T1len0 [lemma, in T1len0]
CantorOrdinal.T1leP [lemma, in T1leP]
CantorOrdinal.T1leq_xor_gtn [inductive, in T1leq_xor_gtn]
CantorOrdinal.T1le_eqVlt [lemma, in T1le_eqVlt]
CantorOrdinal.T1le_pmull [lemma, in T1le_pmull]
CantorOrdinal.T1le_pmulr [lemma, in T1le_pmulr]
CantorOrdinal.T1le_total [lemma, in T1le_total]
CantorOrdinal.T1le_cons_le [lemma, in T1le_cons_le]
CantorOrdinal.T1le_add2l [lemma, in T1le_add2l]
CantorOrdinal.T1le_add2r [lemma, in T1le_add2r]
CantorOrdinal.T1le_trans [lemma, in T1le_trans]
CantorOrdinal.T1le_pmulrl [lemma, in T1le_pmulrl]
CantorOrdinal.T1le_consE [lemma, in T1le_consE]
CantorOrdinal.T1le_pmulrCE [lemma, in T1le_pmulrCE]
CantorOrdinal.T1le_mul2l [lemma, in T1le_mul2l]
CantorOrdinal.T1le_mul2r [lemma, in T1le_mul2r]
CantorOrdinal.T1le_mulCE [lemma, in T1le_mulCE]
CantorOrdinal.T1le_mul [lemma, in T1le_mul]
CantorOrdinal.T1le_lt_trans [lemma, in T1le_lt_trans]
CantorOrdinal.T1le0n [lemma, in T1le0n]
CantorOrdinal.T1limit [definition, in T1limit]
CantorOrdinal.T1log [definition, in T1log]
CantorOrdinal.T1log_prod [lemma, in T1log_prod]
CantorOrdinal.T1log_exp0 [lemma, in T1log_exp0]
CantorOrdinal.T1log_exp1 [lemma, in T1log_exp1]
CantorOrdinal.T1log_exp2 [lemma, in T1log_exp2]
CantorOrdinal.T1log_phi0 [lemma, in T1log_phi0]
CantorOrdinal.T1lt [definition, in T1lt]
CantorOrdinal.T1ltgtP [lemma, in T1ltgtP]
CantorOrdinal.T1ltNge [lemma, in T1ltNge]
CantorOrdinal.T1ltnn [lemma, in T1ltnn]
CantorOrdinal.T1LtnNotGeq [constructor, in T1LtnNotGeq]
CantorOrdinal.T1ltn_xor_geq [inductive, in T1ltn_xor_geq]
CantorOrdinal.T1ltn0 [lemma, in T1ltn0]
CantorOrdinal.T1ltP [lemma, in T1ltP]
CantorOrdinal.T1ltW [lemma, in T1ltW]
CantorOrdinal.T1lt_cons_le [lemma, in T1lt_cons_le]
CantorOrdinal.T1lt_trans [lemma, in T1lt_trans]
CantorOrdinal.T1lt_le_trans [lemma, in T1lt_le_trans]
CantorOrdinal.T1lt_neAle [lemma, in T1lt_neAle]
CantorOrdinal.T1lt_mul2l [lemma, in T1lt_mul2l]
CantorOrdinal.T1lt_mul2r [lemma, in T1lt_mul2r]
CantorOrdinal.T1lt_ne' [lemma, in T1lt_ne']
CantorOrdinal.T1lt_trichotomy [lemma, in T1lt_trichotomy]
CantorOrdinal.T1lt_anti [lemma, in T1lt_anti]
CantorOrdinal.T1lt_ne [lemma, in T1lt_ne]
CantorOrdinal.T1lt_add2l [lemma, in T1lt_add2l]
CantorOrdinal.T1lt_add2r [lemma, in T1lt_add2r]
CantorOrdinal.T1lt0n [lemma, in T1lt0n]
CantorOrdinal.T1lt1 [lemma, in T1lt1]
CantorOrdinal.T1mul [definition, in T1mul]
CantorOrdinal.T1muln0 [lemma, in T1muln0]
CantorOrdinal.T1muln1 [lemma, in T1muln1]
CantorOrdinal.T1muln1_CE [lemma, in T1muln1_CE]
CantorOrdinal.T1mul_eq0 [lemma, in T1mul_eq0]
CantorOrdinal.T1mul_eq1 [lemma, in T1mul_eq1]
CantorOrdinal.T1mul_omega [lemma, in T1mul_omega]
CantorOrdinal.T1mul0n [lemma, in T1mul0n]
CantorOrdinal.T1mul1n [lemma, in T1mul1n]
CantorOrdinal.T1mul1nCE [lemma, in T1mul1nCE]
CantorOrdinal.T1nat [definition, in T1nat]
CantorOrdinal.T1nat_inc [lemma, in T1nat_inc]
CantorOrdinal.T1nf [definition, in T1nf]
CantorOrdinal.T1nfCE [lemma, in T1nfCE]
CantorOrdinal.T1nf_cons_cons [lemma, in T1nf_cons_cons]
CantorOrdinal.T1nf_cons0 [lemma, in T1nf_cons0]
CantorOrdinal.T1nf_consa [lemma, in T1nf_consa]
CantorOrdinal.T1nf_consb [lemma, in T1nf_consb]
CantorOrdinal.T1nf_rect [lemma, in T1nf_rect]
CantorOrdinal.T1nf_finite1 [lemma, in T1nf_finite1]
CantorOrdinal.T1nf_finite [lemma, in T1nf_finite]
CantorOrdinal.T1omega [definition, in T1omega]
CantorOrdinal.T1phi0_zero' [lemma, in T1phi0_zero']
CantorOrdinal.T1phi0_zero [lemma, in T1phi0_zero]
CantorOrdinal.T1pred [definition, in T1pred]
CantorOrdinal.T1split [definition, in T1split]
CantorOrdinal.T1sub [definition, in T1sub]
CantorOrdinal.T1subnn [lemma, in T1subnn]
CantorOrdinal.T1subn0 [lemma, in T1subn0]
CantorOrdinal.T1sub0 [lemma, in T1sub0]
CantorOrdinal.T1succ [definition, in T1succ]
CantorOrdinal.T1succ_nat [lemma, in T1succ_nat]
CantorOrdinal.T1transfinite_induction_Q [lemma, in T1transfinite_induction_Q]
CantorOrdinal.T1transfinite_induction [lemma, in T1transfinite_induction]
CantorOrdinal.T1_eqType [definition, in T1_eqType]
CantorOrdinal.T1_eqMixin [definition, in T1_eqMixin]
CantorOrdinal.zero [constructor, in zero]
_ <= _ (cantor_scope) [notation, in :cantor_scope:x_'<='_x]
_ > _ (cantor_scope) [notation, in :cantor_scope:x_'>'_x]
_ ^ _ (cantor_scope) [notation, in :cantor_scope:x_'^'_x]
_ * _ (cantor_scope) [notation, in :cantor_scope:x_'*'_x]
\F _ (cantor_scope) [notation, in :cantor_scope:'\F'_x]
_ + _ (cantor_scope) [notation, in :cantor_scope:x_'+'_x]
_ >= _ (cantor_scope) [notation, in :cantor_scope:x_'>='_x]
_ - _ (cantor_scope) [notation, in :cantor_scope:x_'-'_x]
_ < _ (cantor_scope) [notation, in :cantor_scope:x_'<'_x]
Cardinal [module, in Cardinal]
CardinalOps [module, in CardinalOps]
CardinalOps.cantor [lemma, in cantor]
CardinalOps.cantor_bis [lemma, in cantor_bis]
CardinalOps.cardinal_le_setCP [lemma, in cardinal_le_setCP]
CardinalOps.cardinal_setC1 [lemma, in cardinal_setC1]
CardinalOps.cardinal_setC2 [lemma, in cardinal_setC2]
CardinalOps.cardinal_setC3 [lemma, in cardinal_setC3]
CardinalOps.cardinal_setC [lemma, in cardinal_setC]
CardinalOps.cardinal_commutativity_aux [lemma, in cardinal_commutativity_aux]
CardinalOps.card_two_pr [lemma, in card_two_pr]
CardinalOps.card_succ_pr3 [lemma, in card_succ_pr3]
CardinalOps.card_succ_pr4 [lemma, in card_succ_pr4]
CardinalOps.card_succ_pr5 [lemma, in card_succ_pr5]
CardinalOps.card_nz_fam [definition, in card_nz_fam]
CardinalOps.card_prod_gr [lemma, in card_prod_gr]
CardinalOps.card_partition_induced [lemma, in card_partition_induced]
CardinalOps.card_prod [definition, in card_prod]
CardinalOps.card_prod2 [definition, in card_prod2]
CardinalOps.card_sum_gr [lemma, in card_sum_gr]
CardinalOps.card_prodb [definition, in card_prodb]
CardinalOps.card_pow [definition, in card_pow]
CardinalOps.card_sum [definition, in card_sum]
CardinalOps.card_diff [definition, in card_diff]
CardinalOps.card_partition_induced1 [lemma, in card_partition_induced1]
CardinalOps.card_sum2 [definition, in card_sum2]
CardinalOps.card_sumb [definition, in card_sumb]
CardinalOps.card_commutative_aux [lemma, in card_commutative_aux]
CardinalOps.card_setP [lemma, in card_setP]
CardinalOps.char_fun [definition, in char_fun]
CardinalOps.char_fun_V [lemma, in char_fun_V]
CardinalOps.char_fun_f [lemma, in char_fun_f]
CardinalOps.char_fun_V_a [lemma, in char_fun_V_a]
CardinalOps.char_fun_V_b [lemma, in char_fun_V_b]
CardinalOps.char_fun_injectiveP [lemma, in char_fun_injectiveP]
CardinalOps.char_fun_surjective [lemma, in char_fun_surjective]
CardinalOps.char_fun_axioms [lemma, in char_fun_axioms]
CardinalOps.char_fun_V_cardinal [lemma, in char_fun_V_cardinal]
CardinalOps.cpowx0 [lemma, in cpowx0]
CardinalOps.cpowx1 [lemma, in cpowx1]
CardinalOps.cpowx1c [lemma, in cpowx1c]
CardinalOps.cpowx2 [lemma, in cpowx2]
CardinalOps.cpow_Meqle0 [lemma, in cpow_Meqle0]
CardinalOps.cpow_prod [lemma, in cpow_prod]
CardinalOps.cpow_M2le [lemma, in cpow_M2le]
CardinalOps.cpow_Mleeq [lemma, in cpow_Mleeq]
CardinalOps.cpow_Mlele [lemma, in cpow_Mlele]
CardinalOps.cpow_pr1 [lemma, in cpow_pr1]
CardinalOps.cpow_pr2 [lemma, in cpow_pr2]
CardinalOps.cpow_pr3 [lemma, in cpow_pr3]
CardinalOps.cpow_pow [lemma, in cpow_pow]
CardinalOps.cpow_pra [lemma, in cpow_pra]
CardinalOps.cpow_prb [lemma, in cpow_prb]
CardinalOps.cpow_Meqle [lemma, in cpow_Meqle]
CardinalOps.cpow_pr [lemma, in cpow_pr]
CardinalOps.cpow_sum [lemma, in cpow_sum]
CardinalOps.cpow_Mle1 [lemma, in cpow_Mle1]
CardinalOps.cpow_sum2 [lemma, in cpow_sum2]
CardinalOps.cpow_prod2 [lemma, in cpow_prod2]
CardinalOps.cpow0x [lemma, in cpow0x]
CardinalOps.cpow00 [lemma, in cpow00]
CardinalOps.cpow1x [lemma, in cpow1x]
CardinalOps.cprodA [lemma, in cprodA]
CardinalOps.cprodA_setU1 [lemma, in cprodA_setU1]
CardinalOps.cprodA_setU2 [lemma, in cprodA_setU2]
CardinalOps.cprodb_exten [lemma, in cprodb_exten]
CardinalOps.cprodC [lemma, in cprodC]
CardinalOps.cprod_nzP [lemma, in cprod_nzP]
CardinalOps.cprod_An [lemma, in cprod_An]
CardinalOps.cprod_Cn [lemma, in cprod_Cn]
CardinalOps.cprod_pr [lemma, in cprod_pr]
CardinalOps.cprod_increasing [lemma, in cprod_increasing]
CardinalOps.cprod_sum_Dn [lemma, in cprod_sum_Dn]
CardinalOps.cprod_sumDl [lemma, in cprod_sumDl]
CardinalOps.cprod_sumDr [lemma, in cprod_sumDr]
CardinalOps.cprod_one_unit [lemma, in cprod_one_unit]
CardinalOps.cprod_Mlele [lemma, in cprod_Mlele]
CardinalOps.cprod_Cn2 [lemma, in cprod_Cn2]
CardinalOps.cprod_M1le [lemma, in cprod_M1le]
CardinalOps.cprod_trivial1 [lemma, in cprod_trivial1]
CardinalOps.cprod_trivial2 [lemma, in cprod_trivial2]
CardinalOps.cprod_zero_absorbing [lemma, in cprod_zero_absorbing]
CardinalOps.cprod_increasing1 [lemma, in cprod_increasing1]
CardinalOps.cprod_trivial [lemma, in cprod_trivial]
CardinalOps.cprod0r [lemma, in cprod0r]
CardinalOps.cprod1l [lemma, in cprod1l]
CardinalOps.cprod1r [lemma, in cprod1r]
CardinalOps.cprod2_sumDn [lemma, in cprod2_sumDn]
CardinalOps.cprod2_pr2a [lemma, in cprod2_pr2a]
CardinalOps.cprod2_pr2b [lemma, in cprod2_pr2b]
CardinalOps.cprod2_pr1 [lemma, in cprod2_pr1]
CardinalOps.cprod2_pr2 [lemma, in cprod2_pr2]
CardinalOps.cprod2_nz [lemma, in cprod2_nz]
CardinalOps.cprod2_pr [lemma, in cprod2_pr]
CardinalOps.csumA [lemma, in csumA]
CardinalOps.csumA_setU1 [lemma, in csumA_setU1]
CardinalOps.csumA_setU2 [lemma, in csumA_setU2]
CardinalOps.csumb_exten [lemma, in csumb_exten]
CardinalOps.csumC [lemma, in csumC]
CardinalOps.csum_M0le [lemma, in csum_M0le]
CardinalOps.csum_permute24 [lemma, in csum_permute24]
CardinalOps.csum_pr1 [lemma, in csum_pr1]
CardinalOps.csum_pr3 [lemma, in csum_pr3]
CardinalOps.csum_pr4 [lemma, in csum_pr4]
CardinalOps.csum_trivial1 [lemma, in csum_trivial1]
CardinalOps.csum_trivial2 [lemma, in csum_trivial2]
CardinalOps.csum_trivial3 [lemma, in csum_trivial3]
CardinalOps.csum_increasing [lemma, in csum_increasing]
CardinalOps.csum_increasing1 [lemma, in csum_increasing1]
CardinalOps.csum_pr4_bis [lemma, in csum_pr4_bis]
CardinalOps.csum_Mleeq [lemma, in csum_Mleeq]
CardinalOps.csum_Mlele [lemma, in csum_Mlele]
CardinalOps.csum_Meqle [lemma, in csum_Meqle]
CardinalOps.csum_of_same [lemma, in csum_of_same]
CardinalOps.csum_Cn' [lemma, in csum_Cn']
CardinalOps.csum_Cn2 [lemma, in csum_Cn2]
CardinalOps.csum_of_ones1 [lemma, in csum_of_ones1]
CardinalOps.csum_An [lemma, in csum_An]
CardinalOps.csum_Cn [lemma, in csum_Cn]
CardinalOps.csum_zero_unit [lemma, in csum_zero_unit]
CardinalOps.csum_of_ones [lemma, in csum_of_ones]
CardinalOps.csum_trivial [lemma, in csum_trivial]
CardinalOps.csum_of_same1 [lemma, in csum_of_same1]
CardinalOps.csum_pr [lemma, in csum_pr]
CardinalOps.csum_pr1_bis [lemma, in csum_pr1_bis]
CardinalOps.csum0l [lemma, in csum0l]
CardinalOps.csum0r [lemma, in csum0r]
CardinalOps.csum2_pr2a [lemma, in csum2_pr2a]
CardinalOps.csum2_pr2b [lemma, in csum2_pr2b]
CardinalOps.csum2_pr2 [lemma, in csum2_pr2]
CardinalOps.csum2_pr4 [lemma, in csum2_pr4]
CardinalOps.csum2_pr5 [lemma, in csum2_pr5]
CardinalOps.csum2_pr6 [lemma, in csum2_pr6]
CardinalOps.csum2_pr [lemma, in csum2_pr]
CardinalOps.CS_succ_c [lemma, in CS_succ_c]
CardinalOps.CS_diff [lemma, in CS_diff]
CardinalOps.CS_sum2 [lemma, in CS_sum2]
CardinalOps.CS_pow [lemma, in CS_pow]
CardinalOps.CS_prod2 [lemma, in CS_prod2]
CardinalOps.disjointU2_pr3 [lemma, in disjointU2_pr3]
CardinalOps.disjointU2_pr4 [lemma, in disjointU2_pr4]
CardinalOps.infinite_powerset [lemma, in infinite_powerset]
CardinalOps.prod_of_prods [lemma, in prod_of_prods]
CardinalOps.quasi_bij [definition, in quasi_bij]
CardinalOps.succ_cP [lemma, in succ_cP]
CardinalOps.succ_c [definition, in succ_c]
CardinalOps.succ_c_pr1 [lemma, in succ_c_pr1]
CardinalOps.succ_c_pr2 [lemma, in succ_c_pr2]
CardinalOps.succ_c_pr3 [lemma, in succ_c_pr3]
CardinalOps.succ_c_pr4 [lemma, in succ_c_pr4]
CardinalOps.succ_c_pr6 [lemma, in succ_c_pr6]
CardinalOps.succ_injective [lemma, in succ_injective]
CardinalOps.succ_c_pr4P [lemma, in succ_c_pr4P]
CardinalOps.succ_c_pr5P [lemma, in succ_c_pr5P]
CardinalOps.sum_of_sums_aux [lemma, in sum_of_sums_aux]
CardinalOps.sum_of_sums [lemma, in sum_of_sums]
CardinalOps.two_times_n [lemma, in two_times_n]
_ +c _ [notation, in ::x_'+c'_x]
_ *c _ [notation, in ::x_'*c'_x]
_ -c _ [notation, in ::x_'-c'_x]
_ ^c _ [notation, in ::x_'^c'_x]
Cardinal.cardinals_le [definition, in cardinals_le]
Cardinal.cardinals_lt [definition, in cardinals_lt]
Cardinal.cardinals_leP [lemma, in cardinals_leP]
Cardinal.cardinals_ltP [lemma, in cardinals_ltP]
Cardinal.cardinal_le_aux1 [lemma, in cardinal_le_aux1]
Cardinal.cardinal_le_wor [lemma, in cardinal_le_wor]
Cardinal.cardinal_le [definition, in cardinal_le]
Cardinal.cardinal_lt [definition, in cardinal_lt]
Cardinal.cardinal_ordinal_lt1 [lemma, in cardinal_ordinal_lt1]
Cardinal.cardinal_set1 [lemma, in cardinal_set1]
Cardinal.cardinal_set2 [lemma, in cardinal_set2]
Cardinal.cardinal_supremum1 [lemma, in cardinal_supremum1]
Cardinal.cardinal_supremum2 [lemma, in cardinal_supremum2]
Cardinal.cardinal_le_aux2P [lemma, in cardinal_le_aux2P]
Cardinal.card_leltA [lemma, in card_leltA]
Cardinal.card_le_01 [lemma, in card_le_01]
Cardinal.card_le_12 [lemma, in card_le_12]
Cardinal.card_le1P [lemma, in card_le1P]
Cardinal.card_le2P [lemma, in card_le2P]
Cardinal.card_sup_image [lemma, in card_sup_image]
Cardinal.card_lt_leT [lemma, in card_lt_leT]
Cardinal.card_ne0_pos [lemma, in card_ne0_pos]
Cardinal.card_ub_sup [lemma, in card_ub_sup]
Cardinal.card_lt_ltT [lemma, in card_lt_ltT]
Cardinal.card_le0 [lemma, in card_le0]
Cardinal.card_leA [lemma, in card_leA]
Cardinal.card_leR [lemma, in card_leR]
Cardinal.card_leT [lemma, in card_leT]
Cardinal.card_lt0 [lemma, in card_lt0]
Cardinal.card_lt1 [lemma, in card_lt1]
Cardinal.card_lt2 [lemma, in card_lt2]
Cardinal.card_ltleA [lemma, in card_ltleA]
Cardinal.card_lt_01 [lemma, in card_lt_01]
Cardinal.card_lt_02 [lemma, in card_lt_02]
Cardinal.card_lt_12 [lemma, in card_lt_12]
Cardinal.card_le_ltT [lemma, in card_le_ltT]
Cardinal.card_ge1P [lemma, in card_ge1P]
Cardinal.card_sup_ub [lemma, in card_sup_ub]
Cardinal.card_le_to_ell [lemma, in card_le_to_ell]
Cardinal.card_le_to_ee [lemma, in card_le_to_ee]
Cardinal.card_le_to_el [lemma, in card_le_to_el]
Cardinal.card_ge1 [lemma, in card_ge1]
Cardinal.card_ge2 [lemma, in card_ge2]
Cardinal.CS_sup [lemma, in CS_sup]
Cardinal.czero_least [lemma, in czero_least]
Cardinal.disjointLv [lemma, in disjointLv]
Cardinal.disjointU2_pr0 [lemma, in disjointU2_pr0]
Cardinal.disjointU2_pr1 [lemma, in disjointU2_pr1]
Cardinal.disjointU2_pr [lemma, in disjointU2_pr]
Cardinal.distrib_inter_prod2 [lemma, in distrib_inter_prod2]
Cardinal.distrib_union_prod2 [lemma, in distrib_union_prod2]
Cardinal.doubleton_fam_canon [lemma, in doubleton_fam_canon]
Cardinal.doubleton_fam [definition, in doubleton_fam]
Cardinal.equipotent_ex_pr [lemma, in equipotent_ex_pr]
Cardinal.equipotent_disjointU [lemma, in equipotent_disjointU]
Cardinal.equipotent_disjointU1 [lemma, in equipotent_disjointU1]
Cardinal.equipotent_disjointU2 [lemma, in equipotent_disjointU2]
Cardinal.equipotent_ex [definition, in equipotent_ex]
Cardinal.equipotent_setXb [lemma, in equipotent_setXb]
Cardinal.equipotent_to_subset [definition, in equipotent_to_subset]
Cardinal.equipotent_setX [lemma, in equipotent_setX]
Cardinal.equipotent_times_s1s1 [lemma, in equipotent_times_s1s1]
Cardinal.eq_subset_cardP1 [lemma, in eq_subset_cardP1]
Cardinal.eq_subset_ex_injP [lemma, in eq_subset_ex_injP]
Cardinal.eq_subset_pr2 [lemma, in eq_subset_pr2]
Cardinal.eq_subset_cardP [lemma, in eq_subset_cardP]
Cardinal.fgraphs_equipotent [definition, in fgraphs_equipotent]
Cardinal.finite_cP [lemma, in finite_cP]
Cardinal.finite_dichot1 [lemma, in finite_dichot1]
Cardinal.finite_le_infinite [lemma, in finite_le_infinite]
Cardinal.finite_lt_infinite [lemma, in finite_lt_infinite]
Cardinal.finite_dichot [lemma, in finite_dichot]
Cardinal.fun_image_smaller [lemma, in fun_image_smaller]
Cardinal.ge_infinite_infinite [lemma, in ge_infinite_infinite]
Cardinal.image_smaller_cardinal [lemma, in image_smaller_cardinal]
Cardinal.image_smaller_cardinal1 [lemma, in image_smaller_cardinal1]
Cardinal.incr_fun_morph [lemma, in incr_fun_morph]
Cardinal.infinite_c_P2 [lemma, in infinite_c_P2]
Cardinal.infinite_cP [lemma, in infinite_cP]
Cardinal.le_finite_finite [lemma, in le_finite_finite]
Cardinal.not_card_le_lt [lemma, in not_card_le_lt]
Cardinal.OrdinalFinite [section, in OrdinalFinite]
Cardinal.OrdinalFinite.ox [variable, in ox]
Cardinal.OrdinalFinite.x [variable, in x]
Cardinal.ordinals_card_ltP [lemma, in ordinals_card_ltP]
Cardinal.ordinal_finite1 [lemma, in ordinal_finite1]
Cardinal.ordinal_finite2 [lemma, in ordinal_finite2]
Cardinal.ordinal_finite3 [lemma, in ordinal_finite3]
Cardinal.ordinal_finite4 [lemma, in ordinal_finite4]
Cardinal.ordinal_cardinal_le [lemma, in ordinal_cardinal_le]
Cardinal.ordinal_cardinal_lt [lemma, in ordinal_cardinal_lt]
Cardinal.ordinal_cardinal_le2P [lemma, in ordinal_cardinal_le2P]
Cardinal.ordinal_cardinal_le1 [lemma, in ordinal_cardinal_le1]
Cardinal.ordinal_cardinal_le3 [lemma, in ordinal_cardinal_le3]
Cardinal.ordinal_cardinal_lt3 [lemma, in ordinal_cardinal_lt3]
Cardinal.ord_one_dichot [lemma, in ord_one_dichot]
Cardinal.ord_ge1 [lemma, in ord_ge1]
Cardinal.ord_ge1P [lemma, in ord_ge1P]
Cardinal.ord_lt1 [lemma, in ord_lt1]
Cardinal.ord_zero_dichot [lemma, in ord_zero_dichot]
Cardinal.product2A [lemma, in product2A]
Cardinal.set_of_card_one [lemma, in set_of_card_one]
Cardinal.set_of_card_two [lemma, in set_of_card_two]
Cardinal.set1_equipotent [lemma, in set1_equipotent]
Cardinal.set2_equipotent1 [lemma, in set2_equipotent1]
Cardinal.set2_equipotent [lemma, in set2_equipotent]
Cardinal.sub_image_finite_set [lemma, in sub_image_finite_set]
Cardinal.sub_smaller [lemma, in sub_smaller]
Cardinal.sub_finite_set [lemma, in sub_finite_set]
Cardinal.succ_nz [lemma, in succ_nz]
Cardinal.succ_one [lemma, in succ_one]
Cardinal.succ_positive [lemma, in succ_positive]
Cardinal.succ_zero [lemma, in succ_zero]
Cardinal.succ_of_finite [lemma, in succ_of_finite]
Cardinal.surjective_cardinal_le [lemma, in surjective_cardinal_le]
Cardinal.two_terms_bij [lemma, in two_terms_bij]
Cardinal.union2Lv [lemma, in union2Lv]
Cardinal.wordering_cardinal_le_pr [lemma, in wordering_cardinal_le_pr]
_
_ <=c _ [notation, in ::x_'<=c'_x]
card_set_pred [lemma, in card_set_pred]
card_inv_im [lemma, in card_inv_im]
card_partition_aux [lemma, in card_partition_aux]
card_set_surj_fun_p1 [lemma, in card_set_surj_fun_p1]
Cartesian [module, in Cartesian]
Cartesian.coarse [definition, in coarse]
Cartesian.indexed [definition, in indexed]
Cartesian.indexedr [definition, in indexedr]
Cartesian.indexedrP [lemma, in indexedrP]
Cartesian.indexed_P [lemma, in indexed_P]
Cartesian.indexed_pi [lemma, in indexed_pi]
Cartesian.product [definition, in product]
Cartesian.setXp_P [lemma, in setXp_P]
Cartesian.setXp_i [lemma, in setXp_i]
Cartesian.setX_Sll [lemma, in setX_Sll]
Cartesian.setX_Slr [lemma, in setX_Slr]
Cartesian.setX_pair [lemma, in setX_pair]
Cartesian.setX_0l [lemma, in setX_0l]
Cartesian.setX_0r [lemma, in setX_0r]
Cartesian.setX_0 [lemma, in setX_0]
Cartesian.setX_P [lemma, in setX_P]
Cartesian.setX_i [lemma, in setX_i]
Cartesian.setX_Sl [lemma, in setX_Sl]
Cartesian.setX_Sr [lemma, in setX_Sr]
Cartesian.setX_lS [lemma, in setX_lS]
Cartesian.setX_rS [lemma, in setX_rS]
_ \times _ [notation, in ::x_'\times'_x]
_ *s1 _ [notation, in ::x_'*s1'_x]
cfn2 [definition, in cfn2]
cfn2_rec [definition, in cfn2_rec]
commutes [definition, in commutes]
commutes_at [definition, in commutes_at]
compatible_1 [definition, in compatible_1]
compatible_2 [definition, in compatible_2]
compatible_3 [definition, in compatible_3]
Complement [module, in Complement]
Complement.complement [definition, in complement]
Complement.empty_setC [lemma, in empty_setC]
Complement.nin_setC [lemma, in nin_setC]
Complement.setC_ne [lemma, in setC_ne]
Complement.setC_0 [lemma, in setC_0]
Complement.setC_K [lemma, in setC_K]
Complement.setC_P [lemma, in setC_P]
Complement.setC_T [lemma, in setC_T]
Complement.setC_i [lemma, in setC_i]
Complement.setC_v [lemma, in setC_v]
Complement.setC1_1 [lemma, in setC1_1]
Complement.setC1_P [lemma, in setC1_P]
Complement.set_CS [lemma, in set_CS]
Complement.set_SC [lemma, in set_SC]
Complement.set_CSS [lemma, in set_CSS]
Complement.set_CSm [lemma, in set_CSm]
Complement.subCset_P [lemma, in subCset_P]
Complement.subsetC_P [lemma, in subsetC_P]
Complement.sub_setC [lemma, in sub_setC]
_ -s _ [notation, in ::x_'-s'_x]
_ -s1 _ [notation, in ::x_'-s1'_x]
Constructions [module, in Constructions]
Constructions.Bo [definition, in Bo]
Constructions.B_back [lemma, in B_back]
Constructions.B_eq [lemma, in B_eq]
Constructions.choose [definition, in choose]
Constructions.choose_pr [lemma, in choose_pr]
Constructions.empty [definition, in empty]
Constructions.emptyset [inductive, in emptyset]
Constructions.emptyset_dichot [lemma, in emptyset_dichot]
Constructions.in_set0 [lemma, in in_set0]
Constructions.nonemptyP [lemma, in nonemptyP]
Constructions.rep [definition, in rep]
Constructions.rep_i [lemma, in rep_i]
Constructions.R_inc [lemma, in R_inc]
Constructions.set0_P [lemma, in set0_P]
Constructions.ssub_trans1 [lemma, in ssub_trans1]
Constructions.ssub_trans2 [lemma, in ssub_trans2]
Constructions.sub_trans [lemma, in sub_trans]
Constructions.sub_refl [lemma, in sub_refl]
Constructions.sub_set0 [lemma, in sub_set0]
Constructions.sub0_set [lemma, in sub0_set]
Constructions.Zo [definition, in Zo]
Constructions.Zorec [inductive, in Zorec]
Constructions.Zorec_c [constructor, in Zorec_c]
Constructions.Zo_P [lemma, in Zo_P]
Constructions.Zo_S [lemma, in Zo_S]
Constructions.Zo_i [lemma, in Zo_i]
Constructions.Zo_hi [lemma, in Zo_hi]
Constructions.Zo_exten1 [lemma, in Zo_exten1]
Constructions.Zo_exten2 [lemma, in Zo_exten2]
Correspondence [module, in Correspondence]
Correspondence.compf_id_left [lemma, in compf_id_left]
Correspondence.compf_image [lemma, in compf_image]
Correspondence.compf_id_id [lemma, in compf_id_id]
Correspondence.compf_id_right [lemma, in compf_id_right]
Correspondence.compf_correspondence [lemma, in compf_correspondence]
Correspondence.compf_inverse [lemma, in compf_inverse]
Correspondence.compgA [lemma, in compgA]
Correspondence.compg_composef [lemma, in compg_composef]
Correspondence.compg_range [lemma, in compg_range]
Correspondence.compg_domain [lemma, in compg_domain]
Correspondence.compg_graph [lemma, in compg_graph]
Correspondence.compg_image [lemma, in compg_image]
Correspondence.compg_domain_S [lemma, in compg_domain_S]
Correspondence.compg_rangeS [lemma, in compg_rangeS]
Correspondence.compg_P [lemma, in compg_P]
Correspondence.compg_S [lemma, in compg_S]
Correspondence.compg_pP [lemma, in compg_pP]
Correspondence.compg_inverse [lemma, in compg_inverse]
Correspondence.composableC [definition, in composableC]
Correspondence.compose [definition, in compose]
Correspondence.composeg [definition, in composeg]
Correspondence.compose_identity_left [lemma, in compose_identity_left]
Correspondence.correspondence [definition, in correspondence]
Correspondence.correspondences [definition, in correspondences]
Correspondence.correspondences_P [lemma, in correspondences_P]
Correspondence.corresp_g [lemma, in corresp_g]
Correspondence.corresp_s [lemma, in corresp_s]
Correspondence.corresp_t [lemma, in corresp_t]
Correspondence.corresp_recov1 [lemma, in corresp_recov1]
Correspondence.corresp_is_graph [lemma, in corresp_is_graph]
Correspondence.corresp_sub_range [lemma, in corresp_sub_range]
Correspondence.corresp_sub_domain [lemma, in corresp_sub_domain]
Correspondence.corresp_create [lemma, in corresp_create]
Correspondence.corresp_recov [lemma, in corresp_recov]
Correspondence.corr_propcc [lemma, in corr_propcc]
Correspondence.corr_propc [lemma, in corr_propc]
Correspondence.diagonal [definition, in diagonal]
Correspondence.diagonal_is_identity [lemma, in diagonal_is_identity]
Correspondence.diagonal_i_P [lemma, in diagonal_i_P]
Correspondence.diagonal_pi_P [lemma, in diagonal_pi_P]
Correspondence.direct_image [definition, in direct_image]
Correspondence.dirimE [lemma, in dirimE]
Correspondence.dirim_domain [lemma, in dirim_domain]
Correspondence.dirim_set0 [lemma, in dirim_set0]
Correspondence.dirim_setn0 [lemma, in dirim_setn0]
Correspondence.dirim_Sr [lemma, in dirim_Sr]
Correspondence.dirim_P [lemma, in dirim_P]
Correspondence.dirim_S [lemma, in dirim_S]
Correspondence.dirim_set1_P [lemma, in dirim_set1_P]
Correspondence.dirim_set1_S [lemma, in dirim_set1_S]
Correspondence.graph [definition, in graph]
Correspondence.icor_correspondence [lemma, in icor_correspondence]
Correspondence.icor_involutive [lemma, in icor_involutive]
Correspondence.identity [definition, in identity]
Correspondence.identity_self_inverse [lemma, in identity_self_inverse]
Correspondence.identity_graph0 [lemma, in identity_graph0]
Correspondence.identity_s [lemma, in identity_s]
Correspondence.identity_t [lemma, in identity_t]
Correspondence.identity_corresp [lemma, in identity_corresp]
Correspondence.ifun_g [lemma, in ifun_g]
Correspondence.ifun_s [lemma, in ifun_s]
Correspondence.ifun_t [lemma, in ifun_t]
Correspondence.igraphP [lemma, in igraphP]
Correspondence.igraphX [lemma, in igraphX]
Correspondence.igraph_pP [lemma, in igraph_pP]
Correspondence.igraph_range [lemma, in igraph_range]
Correspondence.igraph_involutive [lemma, in igraph_involutive]
Correspondence.igraph_graph [lemma, in igraph_graph]
Correspondence.igraph_domain [lemma, in igraph_domain]
Correspondence.igraph_alt [lemma, in igraph_alt]
Correspondence.igraph_identity_g [lemma, in igraph_identity_g]
Correspondence.igraph0 [lemma, in igraph0]
Correspondence.iim_graph_P [lemma, in iim_graph_P]
Correspondence.iim_fun_P [lemma, in iim_fun_P]
Correspondence.iim_fun_pr [lemma, in iim_fun_pr]
Correspondence.image_by_fun [definition, in image_by_fun]
Correspondence.image_of_fun [definition, in image_of_fun]
Correspondence.im_of_singleton [definition, in im_of_singleton]
Correspondence.inverse_fun [definition, in inverse_fun]
Correspondence.inverse_graph [definition, in inverse_graph]
Correspondence.inverse_image [definition, in inverse_image]
Correspondence.inverse_direct_imageg [lemma, in inverse_direct_imageg]
Correspondence.inv_image_by_fun [definition, in inv_image_by_fun]
Correspondence.range_domain_exists [lemma, in range_domain_exists]
Correspondence.setX_graph [lemma, in setX_graph]
Correspondence.setX_range [lemma, in setX_range]
Correspondence.setX_relP [lemma, in setX_relP]
Correspondence.setX_domain [lemma, in setX_domain]
Correspondence.source [definition, in source]
Correspondence.sub_graph_setX [lemma, in sub_graph_setX]
Correspondence.sub_setX_graph [lemma, in sub_setX_graph]
Correspondence.target [definition, in target]
Correspondence.triple [definition, in triple]
Correspondence.triplep [definition, in triplep]
Correspondence.triple_corr [lemma, in triple_corr]
_ \co _ [notation, in ::x_'\co'_x]
_ \cg _ [notation, in ::x_'\cg'_x]
D
derange [definition, in derange]derangeS [lemma, in derangeS]
derangeS1 [lemma, in derangeS1]
derange_sum [lemma, in derange_sum]
derange0 [lemma, in derange0]
derange1 [lemma, in derange1]
der_rec [definition, in der_rec]
disjointsU1 [lemma, in disjointsU1]
E
eqcard_equipotent [lemma, in eqcard_equipotent]eqn_simpl1 [lemma, in eqn_simpl1]
eqn_simpl2 [lemma, in eqn_simpl2]
euler [definition, in euler]
eulerE [lemma, in eulerE]
eulern0 [lemma, in eulern0]
eulern1 [lemma, in eulern1]
eulern2 [lemma, in eulern2]
eulern3 [lemma, in eulern3]
eulerS [lemma, in eulerS]
euler_sum_pow [lemma, in euler_sum_pow]
euler_sum_aux [lemma, in euler_sum_aux]
euler_small [lemma, in euler_small]
euler_nn [lemma, in euler_nn]
euler_rec [definition, in euler_rec]
euler_sub [lemma, in euler_sub]
euler_sum [lemma, in euler_sum]
euler_small1 [lemma, in euler_small1]
euler0m [lemma, in euler0m]
Exercise1 [module, in Exercise1]
Exercise1.Cab [definition, in Cab]
Exercise1.Cab_trans [lemma, in Cab_trans]
Exercise1.Cab_stable [lemma, in Cab_stable]
Exercise1.chain [inductive, in chain]
Exercise1.chained_concat [lemma, in chained_concat]
Exercise1.chained_r [definition, in chained_r]
Exercise1.chained_reverse [lemma, in chained_reverse]
Exercise1.chained_reconc [lemma, in chained_reconc]
Exercise1.chain_pair [constructor, in chain_pair]
Exercise1.chain_next [constructor, in chain_next]
Exercise1.chain_reverse [definition, in chain_reverse]
Exercise1.chain_tail [definition, in chain_tail]
Exercise1.chain_head [definition, in chain_head]
Exercise1.collectivizing_special [lemma, in collectivizing_special]
Exercise1.complement_graph [definition, in complement_graph]
Exercise1.complement_graph_g [lemma, in complement_graph_g]
Exercise1.concat_chain [definition, in concat_chain]
Exercise1.connected_comp_class [lemma, in connected_comp_class]
Exercise1.connected_comp [definition, in connected_comp]
Exercise1.constituant_inter2 [lemma, in constituant_inter2]
Exercise1.constitutant_inter3 [lemma, in constitutant_inter3]
Exercise1.emptyset_pra [lemma, in emptyset_pra]
Exercise1.equivalenceS [lemma, in equivalenceS]
Exercise1.equivalence_Sgraph [lemma, in equivalence_Sgraph]
Exercise1.exercise1_1 [lemma, in exercise1_1]
Exercise1.exercise1_1 [section, in exercise1_1]
Exercise1.exercise1_2 [lemma, in exercise1_2]
Exercise1.exercise1_3 [lemma, in exercise1_3]
Exercise1.exercise1_4 [lemma, in exercise1_4]
Exercise1.exercise1_5 [lemma, in exercise1_5]
Exercise1.exercise1_6 [lemma, in exercise1_6]
Exercise1.exercise1_1.x [variable, in x]
Exercise1.exercise1_1.y [variable, in y]
Exercise1.exercise2_1 [lemma, in exercise2_1]
Exercise1.exercise2_2 [lemma, in exercise2_2]
Exercise1.exercise3_1 [lemma, in exercise3_1]
Exercise1.exercise3_2 [lemma, in exercise3_2]
Exercise1.exercise3_5 [lemma, in exercise3_5]
Exercise1.exercise3_7 [lemma, in exercise3_7]
Exercise1.exercise3_8 [lemma, in exercise3_8]
Exercise1.exercise3_9 [lemma, in exercise3_9]
Exercise1.exercise3_10 [lemma, in exercise3_10]
Exercise1.exercise3_3a [lemma, in exercise3_3a]
Exercise1.exercise3_3b [lemma, in exercise3_3b]
Exercise1.exercise3_4a [lemma, in exercise3_4a]
Exercise1.exercise3_4b [lemma, in exercise3_4b]
Exercise1.exercise3_6a [lemma, in exercise3_6a]
Exercise1.exercise3_6b [lemma, in exercise3_6b]
Exercise1.exercise3_6c [lemma, in exercise3_6c]
Exercise1.exercise3_6d [lemma, in exercise3_6d]
Exercise1.exercise4_1a [lemma, in exercise4_1a]
Exercise1.exercise4_1b [lemma, in exercise4_1b]
Exercise1.exercise4_2a [lemma, in exercise4_2a]
Exercise1.exercise4_2b [lemma, in exercise4_2b]
Exercise1.exercise4_3a [lemma, in exercise4_3a]
Exercise1.exercise4_3b [lemma, in exercise4_3b]
Exercise1.exercise4_4a [lemma, in exercise4_4a]
Exercise1.exercise4_4b [lemma, in exercise4_4b]
Exercise1.exercise4_4c [lemma, in exercise4_4c]
Exercise1.exercise4_8a [lemma, in exercise4_8a]
Exercise1.exercise4_8b [lemma, in exercise4_8b]
Exercise1.exercise4_8c [lemma, in exercise4_8c]
Exercise1.exercise4_5 [lemma, in exercise4_5]
Exercise1.exercise4_6 [lemma, in exercise4_6]
Exercise1.exercise4_7 [lemma, in exercise4_7]
Exercise1.exercise4_6bis [lemma, in exercise4_6bis]
Exercise1.exercise5_1 [lemma, in exercise5_1]
Exercise1.exercise5_2 [lemma, in exercise5_2]
Exercise1.exercise5_f1 [lemma, in exercise5_f1]
Exercise1.exercise5_f2 [lemma, in exercise5_f2]
Exercise1.exercise6_11b1 [lemma, in exercise6_11b1]
Exercise1.exercise6_11b2 [lemma, in exercise6_11b2]
Exercise1.exercise6_11b3 [lemma, in exercise6_11b3]
Exercise1.exercise6_11b4 [lemma, in exercise6_11b4]
Exercise1.Exercise6_10.E [variable, in E]
Exercise1.Exercise6_10.R [variable, in R]
Exercise1.Exercise6_10.A1 [variable, in A1]
Exercise1.Exercise6_10.A2 [variable, in A2]
Exercise1.Exercise6_10.A3 [variable, in A3]
Exercise1.exercise6_6a [lemma, in exercise6_6a]
Exercise1.exercise6_6b [lemma, in exercise6_6b]
Exercise1.exercise6_6c [lemma, in exercise6_6c]
Exercise1.exercise6_6d [lemma, in exercise6_6d]
Exercise1.exercise6_1 [lemma, in exercise6_1]
Exercise1.exercise6_2 [lemma, in exercise6_2]
Exercise1.exercise6_3 [lemma, in exercise6_3]
Exercise1.exercise6_4 [lemma, in exercise6_4]
Exercise1.exercise6_5 [lemma, in exercise6_5]
Exercise1.exercise6_7 [lemma, in exercise6_7]
Exercise1.exercise6_8 [lemma, in exercise6_8]
Exercise1.exercise6_9 [lemma, in exercise6_9]
Exercise1.Exercise6_10_a [lemma, in Exercise6_10_a]
Exercise1.Exercise6_10 [section, in Exercise6_10]
Exercise1.exercise6_11b_rel [definition, in exercise6_11b_rel]
Exercise1.exercise6_11b_assumption [definition, in exercise6_11b_assumption]
Exercise1.exercise6_10_b [lemma, in exercise6_10_b]
Exercise1.Ex1_6 [section, in Ex1_6]
Exercise1.Ex1_6.choose_equiv [variable, in choose_equiv]
Exercise1.graph_morph [definition, in graph_morph]
Exercise1.has_no_graph [definition, in has_no_graph]
Exercise1.head_concat [lemma, in head_concat]
Exercise1.head_reverse [lemma, in head_reverse]
Exercise1.head_reconc [lemma, in head_reconc]
Exercise1.intersection_with [definition, in intersection_with]
Exercise1.intersection_with_canon [definition, in intersection_with_canon]
Exercise1.intransitive1 [definition, in intransitive1]
Exercise1.intransitive1pr [lemma, in intransitive1pr]
Exercise1.is_universal_pr [lemma, in is_universal_pr]
Exercise1.is_constituant [definition, in is_constituant]
Exercise1.is_universal [definition, in is_universal]
Exercise1.not_collectivizing_notin [lemma, in not_collectivizing_notin]
Exercise1.powerset_mono [lemma, in powerset_mono]
Exercise1.range_is_substrate [lemma, in range_is_substrate]
Exercise1.reconc_chain [definition, in reconc_chain]
Exercise1.relS [definition, in relS]
Exercise1.rel_True [lemma, in rel_True]
Exercise1.rel_False [lemma, in rel_False]
Exercise1.setF [definition, in setF]
Exercise1.setF_pr [lemma, in setF_pr]
Exercise1.setF_pr2 [lemma, in setF_pr2]
Exercise1.setF_pr3 [lemma, in setF_pr3]
Exercise1.setF_pr4 [lemma, in setF_pr4]
Exercise1.set1_pr2 [lemma, in set1_pr2]
Exercise1.Sgraph [definition, in Sgraph]
Exercise1.singleton_component [lemma, in singleton_component]
Exercise1.special_equivalence_ea [lemma, in special_equivalence_ea]
Exercise1.special_equivalence [definition, in special_equivalence]
Exercise1.stableR [definition, in stableR]
Exercise1.substrate_special_equivalence [lemma, in substrate_special_equivalence]
Exercise1.substrate_Sgraph [lemma, in substrate_Sgraph]
Exercise1.substrate_union_diag [lemma, in substrate_union_diag]
Exercise1.sub_coarse [lemma, in sub_coarse]
Exercise1.symmetricS [lemma, in symmetricS]
Exercise1.symmetric_union [lemma, in symmetric_union]
Exercise1.S_is_smallest [lemma, in S_is_smallest]
Exercise1.tail_reconc [lemma, in tail_reconc]
Exercise1.tail_reverse [lemma, in tail_reverse]
Exercise1.tail_concat [lemma, in tail_concat]
Exercise1.transitiveS [lemma, in transitiveS]
Exercise1.xpair [definition, in xpair]
Exercise2 [module, in Exercise2]
Exercise2_aux.union_monotone3 [lemma, in union_monotone3]
Exercise2_aux.transfinite_principle_bis [lemma, in transfinite_principle_bis]
Exercise2_aux.powerset_inter [lemma, in powerset_inter]
Exercise2_aux.exercise5_3 [lemma, in exercise5_3]
Exercise2_aux.Cantor_Bernstein2_full [lemma, in Cantor_Bernstein2_full]
Exercise2_aux.odiff_wrong_alt [lemma, in odiff_wrong_alt]
Exercise2_aux [module, in Exercise2_aux]
Exercise2_aux.example_worder_gleP [lemma, in example_worder_gleP]
Exercise2_aux.Cantor_Bernstein_aux [lemma, in Cantor_Bernstein_aux]
Exercise2_aux.odivision_exists_alt [lemma, in odivision_exists_alt]
Exercise2_aux.odiff_pr_alt [lemma, in odiff_pr_alt]
Exercise2_aux.example_is_worder [lemma, in example_is_worder]
Exercise2_aux.example_worder [definition, in example_worder]
Exercise2_aux.osum_limit_alt [lemma, in osum_limit_alt]
Exercise2_aux.inductive_graphs [lemma, in inductive_graphs]
Exercise2_aux.intersection_greatest [lemma, in intersection_greatest]
Exercise2_aux.Cantor_Bernstein2 [lemma, in Cantor_Bernstein2]
Exercise2_aux.ord_div_nonzero_b_bis [lemma, in ord_div_nonzero_b_bis]
Exercise2_aux.succ_injective2 [lemma, in succ_injective2]
Exercise2_aux.ord_div_nonzero_b [lemma, in ord_div_nonzero_b]
Exercise2_aux.cantor_worder [lemma, in cantor_worder]
Exercise2_aux.afa_ex10 [lemma, in afa_ex10]
Exercise2_aux.afa_ex11 [lemma, in afa_ex11]
Exercise2_aux.afa_ex12 [lemma, in afa_ex12]
Exercise2_aux.afa_ex1 [lemma, in afa_ex1]
Exercise2_aux.afa_ex2 [lemma, in afa_ex2]
Exercise2_aux.afa_ex3 [lemma, in afa_ex3]
Exercise2_aux.afa_ex4 [lemma, in afa_ex4]
Exercise2_aux.afa_ex5 [lemma, in afa_ex5]
Exercise2_aux.afa_ex6 [lemma, in afa_ex6]
Exercise2_aux.afa_ex7 [lemma, in afa_ex7]
Exercise2_aux.afa_ex8 [lemma, in afa_ex8]
Exercise2_aux.afa_ex9 [lemma, in afa_ex9]
Exercise2_aux.inductive_example1 [lemma, in inductive_example1]
Exercise2.anti_directed [definition, in anti_directed]
Exercise2.bar1_22 [definition, in bar1_22]
Exercise2.big_set3 [definition, in big_set3]
Exercise2.boolean_lattice [definition, in boolean_lattice]
Exercise2.branched [definition, in branched]
Exercise2.canonical_reg_open [definition, in canonical_reg_open]
Exercise2.cantor_tri_order_sr [lemma, in cantor_tri_order_sr]
Exercise2.cantor_tri_sub [definition, in cantor_tri_sub]
Exercise2.cantor_tri_order_total [lemma, in cantor_tri_order_total]
Exercise2.cantor_tri_order [definition, in cantor_tri_order]
Exercise2.cantor_tri_order_sr1 [lemma, in cantor_tri_order_sr1]
Exercise2.cantor_tri_order_axioms [lemma, in cantor_tri_order_axioms]
Exercise2.cantor_tri_order_gltP [lemma, in cantor_tri_order_gltP]
Exercise2.closure [definition, in closure]
Exercise2.cofinal_inducedP [lemma, in cofinal_inducedP]
Exercise2.compatibility_proj_increasing [lemma, in compatibility_proj_increasing]
Exercise2.complement_pr [definition, in complement_pr]
Exercise2.complete_lattice [definition, in complete_lattice]
Exercise2.completion [definition, in completion]
Exercise2.completion_order [definition, in completion_order]
Exercise2.constant_increasing [lemma, in constant_increasing]
Exercise2.constant_increasing1 [lemma, in constant_increasing1]
Exercise2.cr_equiv [definition, in cr_equiv]
Exercise2.cr_component [definition, in cr_component]
Exercise2.cr_properties [lemma, in cr_properties]
Exercise2.disjointU_function_pr [lemma, in disjointU_function_pr]
Exercise2.disjointU_function [definition, in disjointU_function]
Exercise2.disjoint_pr1 [lemma, in disjoint_pr1]
Exercise2.distributive_lattice1 [definition, in distributive_lattice1]
Exercise2.distributive_lattice2 [definition, in distributive_lattice2]
Exercise2.distributive_lattice3 [definition, in distributive_lattice3]
Exercise2.distributive_lattice4 [definition, in distributive_lattice4]
Exercise2.distributive_lattice5 [definition, in distributive_lattice5]
Exercise2.distributive_lattice6 [definition, in distributive_lattice6]
Exercise2.Exercise1_13.f [variable, in f]
Exercise2.Exercise1_19.g [variable, in g]
Exercise2.Exercise1_3a.g [variable, in g]
Exercise2.Exercise1_22.r [variable, in r]
Exercise2.Exercise1_19.r [variable, in r]
Exercise2.Exercise1_16.r [variable, in r]
Exercise2.Exercise1_15.r [variable, in r]
Exercise2.Exercise1_13.r [variable, in r]
Exercise2.Exercise1_10.r [variable, in r]
Exercise2.Exercise1_9.r [variable, in r]
Exercise2.Exercise1_6.r [variable, in r]
Exercise2.Exercise1_6a.r [variable, in r]
Exercise2.Exercise1_3a.r [variable, in r]
Exercise2.Exercise1_5cP [lemma, in Exercise1_5cP]
Exercise2.Exercise1_3a10 [lemma, in Exercise1_3a10]
Exercise2.Exercise1_3a11 [lemma, in Exercise1_3a11]
Exercise2.Exercise1_3a12 [lemma, in Exercise1_3a12]
Exercise2.Exercise1_3a13 [lemma, in Exercise1_3a13]
Exercise2.Exercise1_3a14 [lemma, in Exercise1_3a14]
Exercise2.Exercise1_3a15 [lemma, in Exercise1_3a15]
Exercise2.Exercise1_3a3' [lemma, in Exercise1_3a3']
Exercise2.Exercise1_3a5P [lemma, in Exercise1_3a5P]
Exercise2.Exercise1_3a6P [lemma, in Exercise1_3a6P]
Exercise2.Exercise1_3a8P [lemma, in Exercise1_3a8P]
Exercise2.Exercise1_6.or'' [variable, in or'']
Exercise2.Exercise1_6m' [lemma, in Exercise1_6m']
Exercise2.Exercise1_10 [lemma, in Exercise1_10]
Exercise2.Exercise1_10 [section, in Exercise1_10]
Exercise2.Exercise1_12 [lemma, in Exercise1_12]
Exercise2.Exercise1_13 [section, in Exercise1_13]
Exercise2.Exercise1_14 [lemma, in Exercise1_14]
Exercise2.Exercise1_15 [section, in Exercise1_15]
Exercise2.Exercise1_16 [section, in Exercise1_16]
Exercise2.Exercise1_19 [section, in Exercise1_19]
Exercise2.Exercise1_22 [section, in Exercise1_22]
Exercise2.Exercise1_2a [lemma, in Exercise1_2a]
Exercise2.Exercise1_2d [lemma, in Exercise1_2d]
Exercise2.Exercise1_2g [lemma, in Exercise1_2g]
Exercise2.Exercise1_2h [lemma, in Exercise1_2h]
Exercise2.Exercise1_2i [lemma, in Exercise1_2i]
Exercise2.Exercise1_2j [lemma, in Exercise1_2j]
Exercise2.Exercise1_3a [section, in Exercise1_3a]
Exercise2.Exercise1_4b [lemma, in Exercise1_4b]
Exercise2.Exercise1_5a [lemma, in Exercise1_5a]
Exercise2.Exercise1_5b [lemma, in Exercise1_5b]
Exercise2.Exercise1_5d [lemma, in Exercise1_5d]
Exercise2.Exercise1_5e [lemma, in Exercise1_5e]
Exercise2.Exercise1_5f [lemma, in Exercise1_5f]
Exercise2.Exercise1_5g [lemma, in Exercise1_5g]
Exercise2.Exercise1_5h [lemma, in Exercise1_5h]
Exercise2.Exercise1_6a [section, in Exercise1_6a]
Exercise2.Exercise1_6a [lemma, in Exercise1_6a]
Exercise2.Exercise1_6b [lemma, in Exercise1_6b]
Exercise2.Exercise1_6c [lemma, in Exercise1_6c]
Exercise2.Exercise1_6d [lemma, in Exercise1_6d]
Exercise2.Exercise1_5w [lemma, in Exercise1_5w]
Exercise2.Exercise1_6e [lemma, in Exercise1_6e]
Exercise2.Exercise1_6f [lemma, in Exercise1_6f]
Exercise2.Exercise1_6g [lemma, in Exercise1_6g]
Exercise2.Exercise1_6h [lemma, in Exercise1_6h]
Exercise2.Exercise1_6i [lemma, in Exercise1_6i]
Exercise2.Exercise1_6j [lemma, in Exercise1_6j]
Exercise2.Exercise1_6k [lemma, in Exercise1_6k]
Exercise2.Exercise1_6l [lemma, in Exercise1_6l]
Exercise2.Exercise1_6m [lemma, in Exercise1_6m]
Exercise2.Exercise1_6n [lemma, in Exercise1_6n]
Exercise2.Exercise1_6o [lemma, in Exercise1_6o]
Exercise2.Exercise1_6p [lemma, in Exercise1_6p]
Exercise2.Exercise1_6q [lemma, in Exercise1_6q]
Exercise2.Exercise1_6r [lemma, in Exercise1_6r]
Exercise2.Exercise1_6s [lemma, in Exercise1_6s]
Exercise2.Exercise1_7a [lemma, in Exercise1_7a]
Exercise2.Exercise1_7b [lemma, in Exercise1_7b]
Exercise2.Exercise1_7c [lemma, in Exercise1_7c]
Exercise2.Exercise1_7d [lemma, in Exercise1_7d]
Exercise2.Exercise1_7e [lemma, in Exercise1_7e]
Exercise2.Exercise1_19.ax [variable, in ax]
Exercise2.Exercise1_13.cf [variable, in cf]
Exercise2.Exercise1_16.lr [variable, in lr]
Exercise2.Exercise1_10.lr [variable, in lr]
Exercise2.Exercise1_9.lr [variable, in lr]
Exercise2.Exercise1_10.r' [variable, in r']
Exercise2.Exercise1_6.r' [variable, in r']
Exercise2.Exercise1_6a.r' [variable, in r']
Exercise2.Exercise1_21aP [lemma, in Exercise1_21aP]
Exercise2.Exercise1_22.or [variable, in or]
Exercise2.Exercise1_15.or [variable, in or]
Exercise2.Exercise1_6.or [variable, in or]
Exercise2.Exercise1_6a.or [variable, in or]
Exercise2.Exercise1_21bP [lemma, in Exercise1_21bP]
Exercise2.Exercise1_21cP [lemma, in Exercise1_21cP]
Exercise2.Exercise1_21dP [lemma, in Exercise1_21dP]
Exercise2.Exercise1_22s1P [lemma, in Exercise1_22s1P]
Exercise2.Exercise1_21kP [lemma, in Exercise1_21kP]
Exercise2.Exercise1_22qP [lemma, in Exercise1_22qP]
Exercise2.Exercise1_22rP [lemma, in Exercise1_22rP]
Exercise2.Exercise1_23aP [lemma, in Exercise1_23aP]
Exercise2.Exercise1_23bP [lemma, in Exercise1_23bP]
Exercise2.Exercise1_23d1 [lemma, in Exercise1_23d1]
Exercise2.Exercise1_23d2 [lemma, in Exercise1_23d2]
Exercise2.Exercise1_15a1 [lemma, in Exercise1_15a1]
Exercise2.Exercise1_15a2 [lemma, in Exercise1_15a2]
Exercise2.Exercise1_15a3 [lemma, in Exercise1_15a3]
Exercise2.Exercise1_15a4 [lemma, in Exercise1_15a4]
Exercise2.Exercise1_15a5 [lemma, in Exercise1_15a5]
Exercise2.Exercise1_15a6 [lemma, in Exercise1_15a6]
Exercise2.Exercise1_15a7 [lemma, in Exercise1_15a7]
Exercise2.Exercise1_15a8 [lemma, in Exercise1_15a8]
Exercise2.Exercise1_15a9 [lemma, in Exercise1_15a9]
Exercise2.Exercise1_15b1 [lemma, in Exercise1_15b1]
Exercise2.Exercise1_15b2 [lemma, in Exercise1_15b2]
Exercise2.Exercise1_23hP [lemma, in Exercise1_23hP]
Exercise2.Exercise1_19.nesr [variable, in nesr]
Exercise2.Exercise1_16cP [lemma, in Exercise1_16cP]
Exercise2.Exercise1_16dP [lemma, in Exercise1_16dP]
Exercise2.Exercise1_10_counterexample [definition, in Exercise1_10_counterexample]
Exercise2.Exercise1_10.lr' [variable, in lr']
Exercise2.Exercise1_10_bis [lemma, in Exercise1_10_bis]
Exercise2.Exercise1_10_ter [lemma, in Exercise1_10_ter]
Exercise2.Exercise1_10b [lemma, in Exercise1_10b]
Exercise2.Exercise1_11a [lemma, in Exercise1_11a]
Exercise2.Exercise1_11b [lemma, in Exercise1_11b]
Exercise2.Exercise1_11c [lemma, in Exercise1_11c]
Exercise2.Exercise1_11d [lemma, in Exercise1_11d]
Exercise2.Exercise1_11e [lemma, in Exercise1_11e]
Exercise2.Exercise1_11f [lemma, in Exercise1_11f]
Exercise2.Exercise1_11g [lemma, in Exercise1_11g]
Exercise2.Exercise1_11h [lemma, in Exercise1_11h]
Exercise2.Exercise1_11i [lemma, in Exercise1_11i]
Exercise2.Exercise1_11j [lemma, in Exercise1_11j]
Exercise2.Exercise1_13a [lemma, in Exercise1_13a]
Exercise2.Exercise1_13b [lemma, in Exercise1_13b]
Exercise2.Exercise1_13c [lemma, in Exercise1_13c]
Exercise2.Exercise1_13d [lemma, in Exercise1_13d]
Exercise2.Exercise1_15c [lemma, in Exercise1_15c]
Exercise2.Exercise1_16a [lemma, in Exercise1_16a]
Exercise2.Exercise1_16b [lemma, in Exercise1_16b]
Exercise2.Exercise1_17a [lemma, in Exercise1_17a]
Exercise2.Exercise1_17b [lemma, in Exercise1_17b]
Exercise2.Exercise1_17c [lemma, in Exercise1_17c]
Exercise2.Exercise1_17d [lemma, in Exercise1_17d]
Exercise2.Exercise1_17e [lemma, in Exercise1_17e]
Exercise2.Exercise1_1 [lemma, in Exercise1_1]
Exercise2.Exercise1_6 [section, in Exercise1_6]
Exercise2.Exercise1_8 [lemma, in Exercise1_8]
Exercise2.Exercise1_9 [lemma, in Exercise1_9]
Exercise2.Exercise1_9 [section, in Exercise1_9]
Exercise2.Exercise1_18a [lemma, in Exercise1_18a]
Exercise2.Exercise1_18b [lemma, in Exercise1_18b]
Exercise2.Exercise1_18c [lemma, in Exercise1_18c]
Exercise2.Exercise1_18d [lemma, in Exercise1_18d]
Exercise2.Exercise1_19a [lemma, in Exercise1_19a]
Exercise2.Exercise1_19b [lemma, in Exercise1_19b]
Exercise2.Exercise1_19c [lemma, in Exercise1_19c]
Exercise2.Exercise1_19d [lemma, in Exercise1_19d]
Exercise2.Exercise1_6.r'' [variable, in r'']
Exercise2.Exercise1_20a [lemma, in Exercise1_20a]
Exercise2.Exercise1_20b [lemma, in Exercise1_20b]
Exercise2.Exercise1_20c [lemma, in Exercise1_20c]
Exercise2.Exercise1_20d [lemma, in Exercise1_20d]
Exercise2.Exercise1_20e [lemma, in Exercise1_20e]
Exercise2.Exercise1_20f [lemma, in Exercise1_20f]
Exercise2.Exercise1_22A [lemma, in Exercise1_22A]
Exercise2.Exercise1_22B [lemma, in Exercise1_22B]
Exercise2.Exercise1_22C [lemma, in Exercise1_22C]
Exercise2.Exercise1_22D [lemma, in Exercise1_22D]
Exercise2.Exercise1_22E [lemma, in Exercise1_22E]
Exercise2.Exercise1_22F [lemma, in Exercise1_22F]
Exercise2.Exercise1_22G [lemma, in Exercise1_22G]
Exercise2.Exercise1_22H [lemma, in Exercise1_22H]
Exercise2.Exercise1_22I [lemma, in Exercise1_22I]
Exercise2.Exercise1_21e [lemma, in Exercise1_21e]
Exercise2.Exercise1_21f [lemma, in Exercise1_21f]
Exercise2.Exercise1_21g [lemma, in Exercise1_21g]
Exercise2.Exercise1_21h [lemma, in Exercise1_21h]
Exercise2.Exercise1_21i [lemma, in Exercise1_21i]
Exercise2.Exercise1_21j [lemma, in Exercise1_21j]
Exercise2.Exercise1_21l [lemma, in Exercise1_21l]
Exercise2.Exercise1_21m [lemma, in Exercise1_21m]
Exercise2.Exercise1_21n [lemma, in Exercise1_21n]
Exercise2.Exercise1_21o [lemma, in Exercise1_21o]
Exercise2.Exercise1_21p [lemma, in Exercise1_21p]
Exercise2.Exercise1_21q [lemma, in Exercise1_21q]
Exercise2.Exercise1_21r [lemma, in Exercise1_21r]
Exercise2.Exercise1_22a [lemma, in Exercise1_22a]
Exercise2.Exercise1_22b [lemma, in Exercise1_22b]
Exercise2.Exercise1_22c [lemma, in Exercise1_22c]
Exercise2.Exercise1_22d [lemma, in Exercise1_22d]
Exercise2.Exercise1_22e [lemma, in Exercise1_22e]
Exercise2.Exercise1_22f [lemma, in Exercise1_22f]
Exercise2.Exercise1_22g [lemma, in Exercise1_22g]
Exercise2.Exercise1_22h [lemma, in Exercise1_22h]
Exercise2.Exercise1_22i [lemma, in Exercise1_22i]
Exercise2.Exercise1_22j [lemma, in Exercise1_22j]
Exercise2.Exercise1_22k [lemma, in Exercise1_22k]
Exercise2.Exercise1_22m [lemma, in Exercise1_22m]
Exercise2.Exercise1_22n [lemma, in Exercise1_22n]
Exercise2.Exercise1_22o [lemma, in Exercise1_22o]
Exercise2.Exercise1_22p [lemma, in Exercise1_22p]
Exercise2.Exercise1_15a18a [lemma, in Exercise1_15a18a]
Exercise2.Exercise1_22s [lemma, in Exercise1_22s]
Exercise2.Exercise1_22t [lemma, in Exercise1_22t]
Exercise2.Exercise1_22u [lemma, in Exercise1_22u]
Exercise2.Exercise1_23c [lemma, in Exercise1_23c]
Exercise2.Exercise1_22v [lemma, in Exercise1_22v]
Exercise2.Exercise1_22w [lemma, in Exercise1_22w]
Exercise2.Exercise1_23e [lemma, in Exercise1_23e]
Exercise2.Exercise1_22x [lemma, in Exercise1_22x]
Exercise2.Exercise1_23f [lemma, in Exercise1_23f]
Exercise2.Exercise1_22y [lemma, in Exercise1_22y]
Exercise2.Exercise1_23g [lemma, in Exercise1_23g]
Exercise2.Exercise1_22z [lemma, in Exercise1_22z]
Exercise2.Exercise1_23i [lemma, in Exercise1_23i]
Exercise2.Exercise1_23j [lemma, in Exercise1_23j]
Exercise2.Exercise1_23k [lemma, in Exercise1_23k]
Exercise2.Exercise1_23l [lemma, in Exercise1_23l]
Exercise2.Exercise1_24a [lemma, in Exercise1_24a]
Exercise2.Exercise1_24b [lemma, in Exercise1_24b]
Exercise2.Exercise1_24c [lemma, in Exercise1_24c]
Exercise2.Exercise1_24d [lemma, in Exercise1_24d]
Exercise2.Exercise1_24e [lemma, in Exercise1_24e]
Exercise2.Exercise1_24f [lemma, in Exercise1_24f]
Exercise2.Exercise1_24g [lemma, in Exercise1_24g]
Exercise2.Exercise1_6.or' [variable, in or']
Exercise2.Exercise1_6a.or' [variable, in or']
Exercise2.Exercise1_20_prop [definition, in Exercise1_20_prop]
Exercise2.Exercise1_15a10 [lemma, in Exercise1_15a10]
Exercise2.Exercise1_15a11 [lemma, in Exercise1_15a11]
Exercise2.Exercise1_15a12 [lemma, in Exercise1_15a12]
Exercise2.Exercise1_15a13 [lemma, in Exercise1_15a13]
Exercise2.Exercise1_15a14 [lemma, in Exercise1_15a14]
Exercise2.Exercise1_15a15 [lemma, in Exercise1_15a15]
Exercise2.Exercise1_15a16 [lemma, in Exercise1_15a16]
Exercise2.Exercise1_15a17 [lemma, in Exercise1_15a17]
Exercise2.Exercise1_15a18 [lemma, in Exercise1_15a18]
Exercise2.Exercise1_15a19 [lemma, in Exercise1_15a19]
Exercise2.Exercise1_15a20 [lemma, in Exercise1_15a20]
Exercise2.Exercise1_3a3'' [lemma, in Exercise1_3a3'']
Exercise2.Exercise1_2b1 [lemma, in Exercise1_2b1]
Exercise2.Exercise1_2c1 [lemma, in Exercise1_2c1]
Exercise2.Exercise1_2c2 [lemma, in Exercise1_2c2]
Exercise2.Exercise1_2c4 [lemma, in Exercise1_2c4]
Exercise2.Exercise1_2e1 [lemma, in Exercise1_2e1]
Exercise2.Exercise1_2e2 [lemma, in Exercise1_2e2]
Exercise2.Exercise1_2e3 [lemma, in Exercise1_2e3]
Exercise2.Exercise1_2e4 [lemma, in Exercise1_2e4]
Exercise2.Exercise1_2e5 [lemma, in Exercise1_2e5]
Exercise2.Exercise1_2f1 [lemma, in Exercise1_2f1]
Exercise2.Exercise1_2f2 [lemma, in Exercise1_2f2]
Exercise2.Exercise1_2f3 [lemma, in Exercise1_2f3]
Exercise2.Exercise1_3a0 [lemma, in Exercise1_3a0]
Exercise2.Exercise1_3a1 [lemma, in Exercise1_3a1]
Exercise2.Exercise1_3a2 [lemma, in Exercise1_3a2]
Exercise2.Exercise1_3a3 [lemma, in Exercise1_3a3]
Exercise2.Exercise1_3a4 [lemma, in Exercise1_3a4]
Exercise2.Exercise1_3a7 [lemma, in Exercise1_3a7]
Exercise2.Exercise1_3a9 [lemma, in Exercise1_3a9]
Exercise2.Exercise1_19.ax2 [variable, in ax2]
Exercise2.Exercise1_4a1 [lemma, in Exercise1_4a1]
Exercise2.Exercise1_4a2 [lemma, in Exercise1_4a2]
Exercise2.Exercise1_4a3 [lemma, in Exercise1_4a3]
Exercise2.Exercise1_4b1 [lemma, in Exercise1_4b1]
Exercise2.Exercise1_4c1 [lemma, in Exercise1_4c1]
Exercise2.Exercise1_4c2 [lemma, in Exercise1_4c2]
Exercise2.Exercise1_4c3 [lemma, in Exercise1_4c3]
Exercise2.Exercise1_4c4 [lemma, in Exercise1_4c4]
Exercise2.Exercise13b [section, in Exercise13b]
Exercise2.Exercise13b.g [variable, in g]
Exercise2.Exercise13b.oa [variable, in oa]
Exercise2.Exercise13b.orsum_lattice_H1 [variable, in orsum_lattice_H1]
Exercise2.Exercise13b.orsum_lattice_H2 [variable, in orsum_lattice_H2]
Exercise2.Exercise13b.orsum_lattice_H3 [variable, in orsum_lattice_H3]
Exercise2.Exercise13b.orsum_lattice_H4 [variable, in orsum_lattice_H4]
Exercise2.Exercise13b.orsum_lattice_H5 [variable, in orsum_lattice_H5]
Exercise2.Exercise13b.r [variable, in r]
Exercise2.Ex1_2_hC [definition, in Ex1_2_hC]
Exercise2.Ex1_2_hD [definition, in Ex1_2_hD]
Exercise2.Ex1_2_hC' [definition, in Ex1_2_hC']
Exercise2.Ex1_2_hD' [definition, in Ex1_2_hD']
Exercise2.Ex1_2_strong_l [definition, in Ex1_2_strong_l]
Exercise2.Ex1_2_strong_r [definition, in Ex1_2_strong_r]
Exercise2.E13_H1 [definition, in E13_H1]
Exercise2.E13_H2 [definition, in E13_H2]
Exercise2.E13_sF [definition, in E13_sF]
Exercise2.E13_F [definition, in E13_F]
Exercise2.E13_S [definition, in E13_S]
Exercise2.E13_lam [definition, in E13_lam]
Exercise2.first_projection [definition, in first_projection]
Exercise2.free_subset_compare [definition, in free_subset_compare]
Exercise2.free_subset [definition, in free_subset]
Exercise2.free_subset_order [definition, in free_subset_order]
Exercise2.free_subsets [definition, in free_subsets]
Exercise2.fs_order_osr [lemma, in fs_order_osr]
Exercise2.fs_order_gleP [lemma, in fs_order_gleP]
Exercise2.greatest_induced [definition, in greatest_induced]
Exercise2.image_of_greatest [lemma, in image_of_greatest]
Exercise2.imo_gleP [lemma, in imo_gleP]
Exercise2.imo_incr [lemma, in imo_incr]
Exercise2.imo_osr [lemma, in imo_osr]
Exercise2.increasing_mappings [definition, in increasing_mappings]
Exercise2.increasing_pre [definition, in increasing_pre]
Exercise2.increasing_mappings_order [definition, in increasing_mappings_order]
Exercise2.indexed_p2 [lemma, in indexed_p2]
Exercise2.inf_pr2 [lemma, in inf_pr2]
Exercise2.intersection_is_sup2_a [lemma, in intersection_is_sup2_a]
Exercise2.intersection_is_sup2_b [lemma, in intersection_is_sup2_b]
Exercise2.intersection_is_partition [lemma, in intersection_is_partition]
Exercise2.intersection_p2_comm [lemma, in intersection_p2_comm]
Exercise2.intersection_partition2 [definition, in intersection_partition2]
Exercise2.intersection_is_partition2 [lemma, in intersection_is_partition2]
Exercise2.intersection_is_sup_a [lemma, in intersection_is_sup_a]
Exercise2.intersection_is_sup2 [lemma, in intersection_is_sup2]
Exercise2.intersection_is_sup [lemma, in intersection_is_sup]
Exercise2.intersection_partition [definition, in intersection_partition]
Exercise2.invariants [definition, in invariants]
Exercise2.lattice_finite_sup5 [lemma, in lattice_finite_sup5]
Exercise2.lattice_finite_inf4P [lemma, in lattice_finite_inf4P]
Exercise2.lattice_finite_sup4P [lemma, in lattice_finite_sup4P]
Exercise2.lattice_finite_inf5 [lemma, in lattice_finite_inf5]
Exercise2.least_induced [definition, in least_induced]
Exercise2.least_greatest_pr1 [lemma, in least_greatest_pr1]
Exercise2.lo_bounds [definition, in lo_bounds]
Exercise2.ncr_equiv [definition, in ncr_equiv]
Exercise2.ncr_properties [lemma, in ncr_properties]
Exercise2.ncr_component [definition, in ncr_component]
Exercise2.not_comp_rel [definition, in not_comp_rel]
Exercise2.nregs_order [definition, in nregs_order]
Exercise2.nreg_opens [definition, in nreg_opens]
Exercise2.Nstar [definition, in Nstar]
Exercise2.open_o [definition, in open_o]
Exercise2.open_r [definition, in open_r]
Exercise2.orsum_total1 [lemma, in orsum_total1]
Exercise2.orsum_total2 [lemma, in orsum_total2]
Exercise2.orsum_pr0 [lemma, in orsum_pr0]
Exercise2.orsum_pr1 [lemma, in orsum_pr1]
Exercise2.orsum_ax2 [definition, in orsum_ax2]
Exercise2.orsum_lattice1 [lemma, in orsum_lattice1]
Exercise2.orsum_lattice2 [lemma, in orsum_lattice2]
Exercise2.orsum_lattice3 [lemma, in orsum_lattice3]
Exercise2.orsum_lattice4 [lemma, in orsum_lattice4]
Exercise2.orsum_lattice5 [lemma, in orsum_lattice5]
Exercise2.orsum_lattice6 [lemma, in orsum_lattice6]
Exercise2.orsum_g1 [lemma, in orsum_g1]
Exercise2.orsum_lattice [lemma, in orsum_lattice]
Exercise2.orsum_directed [lemma, in orsum_directed]
Exercise2.orsum2_nc [lemma, in orsum2_nc]
Exercise2.orsum2_greatest [lemma, in orsum2_greatest]
Exercise2.preorder_isomorphism [definition, in preorder_isomorphism]
Exercise2.preorder_quo_axioms [definition, in preorder_quo_axioms]
Exercise2.product2_lattice [lemma, in product2_lattice]
Exercise2.Qpair [definition, in Qpair]
Exercise2.Qpairi [definition, in Qpairi]
Exercise2.Qpairio_osr [lemma, in Qpairio_osr]
Exercise2.Qpairio_eq [lemma, in Qpairio_eq]
Exercise2.Qpairio_gle1P [lemma, in Qpairio_gle1P]
Exercise2.Qpairio_gle2P [lemma, in Qpairio_gle2P]
Exercise2.Qpairio_gle3 [lemma, in Qpairio_gle3]
Exercise2.Qpairio_gle4 [lemma, in Qpairio_gle4]
Exercise2.Qpairio_gleP [lemma, in Qpairio_gleP]
Exercise2.Qpairis [definition, in Qpairis]
Exercise2.Qpairis_pr1P [lemma, in Qpairis_pr1P]
Exercise2.Qpairis_pr2 [lemma, in Qpairis_pr2]
Exercise2.Qpairis_prP [lemma, in Qpairis_prP]
Exercise2.Qpairi_o [definition, in Qpairi_o]
Exercise2.Qpair_leP [lemma, in Qpair_leP]
Exercise2.Qpair_le0P [lemma, in Qpair_le0P]
Exercise2.Qpair_q [lemma, in Qpair_q]
Exercise2.Qpair_eq [lemma, in Qpair_eq]
Exercise2.Qpair_q1 [lemma, in Qpair_q1]
Exercise2.Qplus [definition, in Qplus]
Exercise2.Qplus_eq_r [definition, in Qplus_eq_r]
Exercise2.Qplus_eq [definition, in Qplus_eq]
Exercise2.Qplus_or [definition, in Qplus_or]
Exercise2.Qplus_or_gle2 [lemma, in Qplus_or_gle2]
Exercise2.Qplus_inc1 [lemma, in Qplus_inc1]
Exercise2.Qplus_inc2 [lemma, in Qplus_inc2]
Exercise2.Qplus_or_osr [lemma, in Qplus_or_osr]
Exercise2.Qplus_leq_compatP [lemma, in Qplus_leq_compatP]
Exercise2.Qplus_eq_sr [lemma, in Qplus_eq_sr]
Exercise2.Qplus_or_tor [lemma, in Qplus_or_tor]
Exercise2.Qplus_equiv [lemma, in Qplus_equiv]
Exercise2.Qplus_eq_relatedP [lemma, in Qplus_eq_relatedP]
Exercise2.Qplus_or_gle1P [lemma, in Qplus_or_gle1P]
Exercise2.Qplus1 [definition, in Qplus1]
Exercise2.Qplus1_le_r [definition, in Qplus1_le_r]
Exercise2.Qplus1_inc1P [lemma, in Qplus1_inc1P]
Exercise2.quotient_orderP [lemma, in quotient_orderP]
Exercise2.quotient_is_preorder [lemma, in quotient_is_preorder]
Exercise2.quotient_order [definition, in quotient_order]
Exercise2.quotient_order_r [definition, in quotient_order_r]
Exercise2.reg_open_order [definition, in reg_open_order]
Exercise2.reg_opens [definition, in reg_opens]
Exercise2.relatively_complemented [definition, in relatively_complemented]
Exercise2.scattered [definition, in scattered]
Exercise2.scattered_equiv [definition, in scattered_equiv]
Exercise2.scattered_rel [definition, in scattered_rel]
Exercise2.scattered_aux [definition, in scattered_aux]
Exercise2.secnd_projection [definition, in secnd_projection]
Exercise2.second_partial_map2 [definition, in second_partial_map2]
Exercise2.soimP [lemma, in soimP]
Exercise2.standard_completion_involutive [lemma, in standard_completion_involutive]
Exercise2.standard_completion [definition, in standard_completion]
Exercise2.standard_completion_unique [lemma, in standard_completion_unique]
Exercise2.standard_completion_pr [lemma, in standard_completion_pr]
Exercise2.standard_completion_monotone [lemma, in standard_completion_monotone]
Exercise2.strong_order_compatibility [lemma, in strong_order_compatibility]
Exercise2.substrate_quotient_order [lemma, in substrate_quotient_order]
Exercise2.tarski1 [lemma, in tarski1]
Exercise2.the_complement_pr [lemma, in the_complement_pr]
Exercise2.the_complement [definition, in the_complement]
Exercise2.total_order_dlattice [lemma, in total_order_dlattice]
Exercise2.two_projections [definition, in two_projections]
Exercise2.two_projections_increasing [definition, in two_projections_increasing]
Exercise2.uplo_bounds [definition, in uplo_bounds]
Exercise2.upper_bounds [definition, in upper_bounds]
Exercise2.up_bounds [definition, in up_bounds]
Exercise2.weak_order_compatibility [definition, in weak_order_compatibility]
Exercise2.without_gaps [definition, in without_gaps]
Exercise3 [module, in Exercise3]
Exercise3.aleph_pr13 [lemma, in aleph_pr13]
Exercise3.bigS [definition, in bigS]
Exercise3.Bnat_greatest [lemma, in Bnat_greatest]
Exercise3.chainx [definition, in chainx]
Exercise3.closures [definition, in closures]
Exercise3.closure_ordering [definition, in closure_ordering]
Exercise3.complement_p1 [lemma, in complement_p1]
Exercise3.complement_p2 [lemma, in complement_p2]
Exercise3.complement_p3 [lemma, in complement_p3]
Exercise3.complement_p4 [lemma, in complement_p4]
Exercise3.Exercise2_6.f [variable, in f]
Exercise3.Exercise2_11.g [variable, in g]
Exercise3.Exercise2_11.r [variable, in r]
Exercise3.Exercise2_6.r [variable, in r]
Exercise3.Exercise2_6.fxx [variable, in fxx]
Exercise3.Exercise2_11 [section, in Exercise2_11]
Exercise3.Exercise2_1a [lemma, in Exercise2_1a]
Exercise3.Exercise2_1c [lemma, in Exercise2_1c]
Exercise3.Exercise2_1d [lemma, in Exercise2_1d]
Exercise3.Exercise2_2a [lemma, in Exercise2_2a]
Exercise3.Exercise2_2b [lemma, in Exercise2_2b]
Exercise3.Exercise2_3a [lemma, in Exercise2_3a]
Exercise3.Exercise2_3b [lemma, in Exercise2_3b]
Exercise3.Exercise2_3c [lemma, in Exercise2_3c]
Exercise3.Exercise2_6a [lemma, in Exercise2_6a]
Exercise3.Exercise2_6b [lemma, in Exercise2_6b]
Exercise3.Exercise2_6c [lemma, in Exercise2_6c]
Exercise3.Exercise2_6d [lemma, in Exercise2_6d]
Exercise3.Exercise2_6e [lemma, in Exercise2_6e]
Exercise3.Exercise2_6g [lemma, in Exercise2_6g]
Exercise3.Exercise2_6h [lemma, in Exercise2_6h]
Exercise3.Exercise2_6i [lemma, in Exercise2_6i]
Exercise3.Exercise2_7b [lemma, in Exercise2_7b]
Exercise3.Exercise2_7c [lemma, in Exercise2_7c]
Exercise3.Exercise2_7e [lemma, in Exercise2_7e]
Exercise3.Exercise2_7f [lemma, in Exercise2_7f]
Exercise3.Exercise2_7g [lemma, in Exercise2_7g]
Exercise3.Exercise2_7h [lemma, in Exercise2_7h]
Exercise3.Exercise2_8a [lemma, in Exercise2_8a]
Exercise3.Exercise2_8b [lemma, in Exercise2_8b]
Exercise3.Exercise2_8c [lemma, in Exercise2_8c]
Exercise3.Exercise2_8d [lemma, in Exercise2_8d]
Exercise3.Exercise2_6.ff [variable, in ff]
Exercise3.Exercise2_11.oa [variable, in oa]
Exercise3.Exercise2_6.or [variable, in or]
Exercise3.Exercise2_6.sf [variable, in sf]
Exercise3.Exercise2_6.tf [variable, in tf]
Exercise3.Exercise2_7A10 [lemma, in Exercise2_7A10]
Exercise3.Exercise2_7A11 [lemma, in Exercise2_7A11]
Exercise3.Exercise2_7A12 [lemma, in Exercise2_7A12]
Exercise3.Exercise2_8a_R [definition, in Exercise2_8a_R]
Exercise3.Exercise2_1bP [lemma, in Exercise2_1bP]
Exercise3.Exercise2_4 [lemma, in Exercise2_4]
Exercise3.Exercise2_5 [lemma, in Exercise2_5]
Exercise3.Exercise2_6 [section, in Exercise2_6]
Exercise3.Exercise2_7A1 [lemma, in Exercise2_7A1]
Exercise3.Exercise2_7A2 [lemma, in Exercise2_7A2]
Exercise3.Exercise2_7A3 [lemma, in Exercise2_7A3]
Exercise3.Exercise2_7A4 [lemma, in Exercise2_7A4]
Exercise3.Exercise2_7A5 [lemma, in Exercise2_7A5]
Exercise3.Exercise2_7A6 [lemma, in Exercise2_7A6]
Exercise3.Exercise2_7A7 [lemma, in Exercise2_7A7]
Exercise3.Exercise2_7A8 [lemma, in Exercise2_7A8]
Exercise3.Exercise2_7A9 [lemma, in Exercise2_7A9]
Exercise3.Exercise2_7aP [lemma, in Exercise2_7aP]
Exercise3.Exercise2_7dP [lemma, in Exercise2_7dP]
Exercise3.Exercise27 [section, in Exercise27]
Exercise3.Exercise27.or [variable, in or]
Exercise3.Exercise27.r [variable, in r]
Exercise3.Exercise3_1b [lemma, in Exercise3_1b]
Exercise3.Exercise3_2a [lemma, in Exercise3_2a]
Exercise3.Exercise3_2b [lemma, in Exercise3_2b]
Exercise3.Exercise3_2c [lemma, in Exercise3_2c]
Exercise3.Exercise3_5a [lemma, in Exercise3_5a]
Exercise3.Exercise3_5b [lemma, in Exercise3_5b]
Exercise3.Exercise3_5c [lemma, in Exercise3_5c]
Exercise3.Exercise3_5d [lemma, in Exercise3_5d]
Exercise3.Exercise3_5e [lemma, in Exercise3_5e]
Exercise3.Exercise3_5f [lemma, in Exercise3_5f]
Exercise3.Exercise3_6b [lemma, in Exercise3_6b]
Exercise3.Exercise3_6c [lemma, in Exercise3_6c]
Exercise3.Exercise3_1 [lemma, in Exercise3_1]
Exercise3.Exercise3_6 [lemma, in Exercise3_6]
Exercise3.Exercise34 [section, in Exercise34]
Exercise3.Exercise34a [lemma, in Exercise34a]
Exercise3.Exercise34b [lemma, in Exercise34b]
Exercise3.Exercise34.choice [variable, in choice]
Exercise3.Exercise34.E [variable, in E]
Exercise3.Exercise34.f [variable, in f]
Exercise3.extension_to_NNstar [definition, in extension_to_NNstar]
Exercise3.ex23_prop [definition, in ex23_prop]
Exercise3.fam_card_sub [definition, in fam_card_sub]
Exercise3.fct_co_simpl_right [lemma, in fct_co_simpl_right]
Exercise3.fct_co_simpl_left [lemma, in fct_co_simpl_left]
Exercise3.finer_order [definition, in finer_order]
Exercise3.finite_union2 [lemma, in finite_union2]
Exercise3.finite_subsets_pr [lemma, in finite_subsets_pr]
Exercise3.finite_subsets_prop [definition, in finite_subsets_prop]
Exercise3.finite_powerset [lemma, in finite_powerset]
Exercise3.finite_subsets [definition, in finite_subsets]
Exercise3.finv [definition, in finv]
Exercise3.fo_osr [lemma, in fo_osr]
Exercise3.fo_gle1P [lemma, in fo_gle1P]
Exercise3.fo_inductive [lemma, in fo_inductive]
Exercise3.fo_gleP [lemma, in fo_gleP]
Exercise3.image_of_inf [lemma, in image_of_inf]
Exercise3.inclusion_morphism_a [lemma, in inclusion_morphism_a]
Exercise3.inclusion_morphism_b [lemma, in inclusion_morphism_b]
Exercise3.inc_coarse [lemma, in inc_coarse]
Exercise3.induced_sub_pr1 [lemma, in induced_sub_pr1]
Exercise3.induced_sub_pr2 [lemma, in induced_sub_pr2]
Exercise3.Ixf [definition, in Ixf]
Exercise3.Jf [definition, in Jf]
Exercise3.NNstar [definition, in NNstar]
Exercise3.olex [definition, in olex]
Exercise3.olexp [definition, in olexp]
Exercise3.OlexPowBasic [section, in OlexPowBasic]
Exercise3.OlexPowBasic.r [variable, in r]
Exercise3.OlexPowBasic.r' [variable, in r']
Exercise3.OlexPowBasic.wor [variable, in wor]
Exercise3.OlexPowBasic.wor' [variable, in wor']
Exercise3.olexp_total [lemma, in olexp_total]
Exercise3.olexp_Gxy1 [lemma, in olexp_Gxy1]
Exercise3.olexp_G_least [lemma, in olexp_G_least]
Exercise3.olexp_Gs [lemma, in olexp_Gs]
Exercise3.olexp_ax [lemma, in olexp_ax]
Exercise3.olexp_lE [definition, in olexp_lE]
Exercise3.olexp_gleP [lemma, in olexp_gleP]
Exercise3.olexp_gleh [lemma, in olexp_gleh]
Exercise3.olexp_lEp [lemma, in olexp_lEp]
Exercise3.olexp_worder [lemma, in olexp_worder]
Exercise3.olexp_G [definition, in olexp_G]
Exercise3.olexp_I [definition, in olexp_I]
Exercise3.olexp_g [definition, in olexp_g]
Exercise3.olexp_Gxy [lemma, in olexp_Gxy]
Exercise3.olexp_gle1P [lemma, in olexp_gle1P]
Exercise3.olexp_osr [lemma, in olexp_osr]
Exercise3.olexp' [definition, in olexp']
Exercise3.olexp'_osr [lemma, in olexp'_osr]
Exercise3.olexp'_gleP [lemma, in olexp'_gleP]
Exercise3.Olex_basic.g [variable, in g]
Exercise3.Olex_basic.r [variable, in r]
Exercise3.olex_gleP [lemma, in olex_gleP]
Exercise3.olex_cc_comparable1 [lemma, in olex_cc_comparable1]
Exercise3.olex_cc_comparable2 [lemma, in olex_cc_comparable2]
Exercise3.olex_nsvS [lemma, in olex_nsvS]
Exercise3.olex_nsve [lemma, in olex_nsve]
Exercise3.Olex_basic.ax [variable, in ax]
Exercise3.olex_R [lemma, in olex_R]
Exercise3.olex_G_cc [lemma, in olex_G_cc]
Exercise3.olex_glt_aux [lemma, in olex_glt_aux]
Exercise3.olex_ioS [lemma, in olex_ioS]
Exercise3.olex_Fe [lemma, in olex_Fe]
Exercise3.olex_total1 [lemma, in olex_total1]
Exercise3.olex_total2 [lemma, in olex_total2]
Exercise3.olex_nsve1 [lemma, in olex_nsve1]
Exercise3.olex_ax [definition, in olex_ax]
Exercise3.olex_lex [lemma, in olex_lex]
Exercise3.olex_io [definition, in olex_io]
Exercise3.olex_sr [lemma, in olex_sr]
Exercise3.Olex_basic [section, in Olex_basic]
Exercise3.olex_comp1_r [definition, in olex_comp1_r]
Exercise3.olex_nFe_Ee [lemma, in olex_nFe_Ee]
Exercise3.olex_nsv [definition, in olex_nsv]
Exercise3.olex_comp2_r [definition, in olex_comp2_r]
Exercise3.olex_osr [lemma, in olex_osr]
Exercise3.olex_cc_tor [lemma, in olex_cc_tor]
Exercise3.opowa_invariant [lemma, in opowa_invariant]
Exercise3.orders [definition, in orders]
Exercise3.ordersP [lemma, in ordersP]
Exercise3.order_total_extension [lemma, in order_total_extension]
Exercise3.ordprod_worder_bisP [lemma, in ordprod_worder_bisP]
Exercise3.ord_powa_pr0 [lemma, in ord_powa_pr0]
Exercise3.ord_powa_pr1 [lemma, in ord_powa_pr1]
Exercise3.ord_powa_pr2 [lemma, in ord_powa_pr2]
Exercise3.ord_powa_pr3 [lemma, in ord_powa_pr3]
Exercise3.ord_powa_pr4 [lemma, in ord_powa_pr4]
Exercise3.ord_powa_pr5 [lemma, in ord_powa_pr5]
Exercise3.ord_powa_M_eqle [lemma, in ord_powa_M_eqle]
Exercise3.ord_powa_same [lemma, in ord_powa_same]
Exercise3.ord_powa_succ [lemma, in ord_powa_succ]
Exercise3.ord_sup_pr6 [lemma, in ord_sup_pr6]
Exercise3.ord_powa [definition, in ord_powa]
Exercise3.orprod_total3P [lemma, in orprod_total3P]
Exercise3.orprod_total2 [lemma, in orprod_total2]
Exercise3.orprod_total4 [lemma, in orprod_total4]
Exercise3.orsum_wo_P [lemma, in orsum_wo_P]
Exercise3.OS_ord_powa [lemma, in OS_ord_powa]
Exercise3.power_of_suma [lemma, in power_of_suma]
Exercise3.ramified [definition, in ramified]
Exercise3.ramifiedc [definition, in ramifiedc]
Exercise3.union2_wor [lemma, in union2_wor]
Exercise3.well_ordered_opposite [lemma, in well_ordered_opposite]
Exercise3.worder_has_empty_seg [lemma, in worder_has_empty_seg]
Exercise3.worder_decreasing_finite [lemma, in worder_decreasing_finite]
_ ^O _ [notation, in ::x_'^O'_x]
Exercise4 [module, in Exercise4]
Exercise4.all_uncomp_inP [definition, in all_uncomp_inP]
Exercise4.char_fun_sub [lemma, in char_fun_sub]
Exercise4.distributive_rec [lemma, in distributive_rec]
Exercise4.Exercice4_11.A [variable, in A]
Exercise4.Exercice4_11.R [variable, in R]
Exercise4.Exercice4_11.mnr [variable, in mnr]
Exercise4.Exercice4_11 [section, in Exercice4_11]
Exercise4.Exercise4_5A1 [lemma, in Exercise4_5A1]
Exercise4.Exercise4_5A2 [lemma, in Exercise4_5A2]
Exercise4.Exercise4_7c1 [lemma, in Exercise4_7c1]
Exercise4.Exercise4_5a [lemma, in Exercise4_5a]
Exercise4.Exercise4_5b [lemma, in Exercise4_5b]
Exercise4.Exercise4_5c [lemma, in Exercise4_5c]
Exercise4.Exercise4_5d [lemma, in Exercise4_5d]
Exercise4.Exercise4_7i1 [lemma, in Exercise4_7i1]
Exercise4.Exercise4_6a [lemma, in Exercise4_6a]
Exercise4.Exercise4_6b [lemma, in Exercise4_6b]
Exercise4.Exercise4_6c [lemma, in Exercise4_6c]
Exercise4.Exercise4_6d [lemma, in Exercise4_6d]
Exercise4.Exercise4_6e [lemma, in Exercise4_6e]
Exercise4.Exercise4_6f [lemma, in Exercise4_6f]
Exercise4.Exercise4_6g [lemma, in Exercise4_6g]
Exercise4.Exercise4_6h [lemma, in Exercise4_6h]
Exercise4.Exercise4_6i [lemma, in Exercise4_6i]
Exercise4.Exercise4_6j [lemma, in Exercise4_6j]
Exercise4.Exercise4_6k [lemma, in Exercise4_6k]
Exercise4.Exercise4_6l [lemma, in Exercise4_6l]
Exercise4.Exercise4_7a [lemma, in Exercise4_7a]
Exercise4.Exercise4_7b [lemma, in Exercise4_7b]
Exercise4.Exercise4_7c [lemma, in Exercise4_7c]
Exercise4.Exercise4_7d [lemma, in Exercise4_7d]
Exercise4.Exercise4_7e [lemma, in Exercise4_7e]
Exercise4.Exercise4_7f [lemma, in Exercise4_7f]
Exercise4.Exercise4_7g [lemma, in Exercise4_7g]
Exercise4.Exercise4_7h [lemma, in Exercise4_7h]
Exercise4.Exercise4_7i [lemma, in Exercise4_7i]
Exercise4.Exercise4_7j [lemma, in Exercise4_7j]
Exercise4.Exercise4_7k [lemma, in Exercise4_7k]
Exercise4.Exercise4_7l [lemma, in Exercise4_7l]
Exercise4.Exercise4_7m [lemma, in Exercise4_7m]
Exercise4.Exercise4_7n [lemma, in Exercise4_7n]
Exercise4.Exercise4_7o [lemma, in Exercise4_7o]
Exercise4.Exercise4_7p [lemma, in Exercise4_7p]
Exercise4.Exercise4_7q [lemma, in Exercise4_7q]
Exercise4.Exercise4_8a [lemma, in Exercise4_8a]
Exercise4.Exercise4_8b [lemma, in Exercise4_8b]
Exercise4.Exercise4_8c [lemma, in Exercise4_8c]
Exercise4.Exercise4_8d [lemma, in Exercise4_8d]
Exercise4.Exercise4_8e [lemma, in Exercise4_8e]
Exercise4.Exercise4_8f [lemma, in Exercise4_8f]
Exercise4.Exercise4_8g [lemma, in Exercise4_8g]
Exercise4.Exercise4_8h [lemma, in Exercise4_8h]
Exercise4.Exercise4_8j [lemma, in Exercise4_8j]
Exercise4.Exercise4_8k [lemma, in Exercise4_8k]
Exercise4.Exercise4_8l [lemma, in Exercise4_8l]
Exercise4.Exercise4_8m [lemma, in Exercise4_8m]
Exercise4.Exercise4_8n [lemma, in Exercise4_8n]
Exercise4.Exercise4_8o [lemma, in Exercise4_8o]
Exercise4.Exercise4_8p [lemma, in Exercise4_8p]
Exercise4.Exercise4_8r [lemma, in Exercise4_8r]
Exercise4.Exercise4_8s [lemma, in Exercise4_8s]
Exercise4.Exercise4_9a [lemma, in Exercise4_9a]
Exercise4.Exercise4_8t [lemma, in Exercise4_8t]
Exercise4.Exercise4_9b [lemma, in Exercise4_9b]
Exercise4.Exercise4_8u [lemma, in Exercise4_8u]
Exercise4.Exercise4_8v [lemma, in Exercise4_8v]
Exercise4.Exercise4_8c1 [lemma, in Exercise4_8c1]
Exercise4.Exercise4_8iP [lemma, in Exercise4_8iP]
Exercise4.Exercise4_8qP [lemma, in Exercise4_8qP]
Exercise4.Exercise4_5_conc [definition, in Exercise4_5_conc]
Exercise4.Exercise4_4 [lemma, in Exercise4_4]
Exercise4.Exercise4_5_hyp [definition, in Exercise4_5_hyp]
Exercise4.Exercise4_10a [lemma, in Exercise4_10a]
Exercise4.Exercise4_10b [lemma, in Exercise4_10b]
Exercise4.Exercise4_10c [lemma, in Exercise4_10c]
Exercise4.Exercise4_10d [lemma, in Exercise4_10d]
Exercise4.Exercise4_11a [lemma, in Exercise4_11a]
Exercise4.Exercise4_11b [lemma, in Exercise4_11b]
Exercise4.Exercise4_11c [lemma, in Exercise4_11c]
Exercise4.Exercise4_11d [lemma, in Exercise4_11d]
Exercise4.Exercise4_11e [lemma, in Exercise4_11e]
Exercise4.Exercise4_11f [lemma, in Exercise4_11f]
Exercise4.Exercise4_11g [lemma, in Exercise4_11g]
Exercise4.Exercise4_11h [lemma, in Exercise4_11h]
Exercise4.Exercise4_11i [lemma, in Exercise4_11i]
Exercise4.Exercise46 [section, in Exercise46]
Exercise4.Exercise46.A [variable, in A]
Exercise4.Exercise46.disdom [variable, in disdom]
Exercise4.Exercise46.m [variable, in m]
Exercise4.Exercise46.mB [variable, in mB]
Exercise4.Exercise46.n [variable, in n]
Exercise4.Exercise46.nB [variable, in nB]
Exercise4.Exercise46.X [variable, in X]
Exercise4.Exercise46.Xpr [variable, in Xpr]
Exercise4.Exercise46.Y [variable, in Y]
Exercise4.Exercise46.Ypr [variable, in Ypr]
Exercise4.Ex4_11_ex1_pure [lemma, in Ex4_11_ex1_pure]
Exercise4.Ex4_11_ex0 [lemma, in Ex4_11_ex0]
Exercise4.Ex4_11_ex1 [lemma, in Ex4_11_ex1]
Exercise4.Ex4_11_ex2 [lemma, in Ex4_11_ex2]
Exercise4.Ex4_11_ex0_pure [lemma, in Ex4_11_ex0_pure]
Exercise4.Ex4_11_ex3a [lemma, in Ex4_11_ex3a]
Exercise4.Ex4_11_ex3b [lemma, in Ex4_11_ex3b]
Exercise4.Ex4_11_minR_P2 [lemma, in Ex4_11_minR_P2]
Exercise4.Ex4_10_hyp [definition, in Ex4_10_hyp]
Exercise4.Ex4_11_minR_mb [lemma, in Ex4_11_minR_mb]
Exercise4.Ex4_11_minR_pr [lemma, in Ex4_11_minR_pr]
Exercise4.Ex4_11_ex3_pure [lemma, in Ex4_11_ex3_pure]
Exercise4.Ex4_11_minR_pr3 [lemma, in Ex4_11_minR_pr3]
Exercise4.Ex4_10_conc [definition, in Ex4_10_conc]
Exercise4.Ex4_11EM [definition, in Ex4_11EM]
Exercise4.Ex4_11_ex2_pure [lemma, in Ex4_11_ex2_pure]
Exercise4.E46b_hyp [definition, in E46b_hyp]
Exercise4.E46b_conc [definition, in E46b_conc]
Exercise4.E46c_hyp [definition, in E46c_hyp]
Exercise4.E46c_conc [definition, in E46c_conc]
Exercise4.E46_order_rel [definition, in E46_order_rel]
Exercise4.E46_hp [definition, in E46_hp]
Exercise4.E46_u [definition, in E46_u]
Exercise4.E46_order_r [definition, in E46_order_r]
Exercise4.E46_hprop [definition, in E46_hprop]
Exercise4.E46_conc [definition, in E46_conc]
Exercise4.E47S [definition, in E47S]
Exercise4.E48AJI [definition, in E48AJI]
Exercise4.E48AJImo [definition, in E48AJImo]
Exercise4.E48AJIo [definition, in E48AJIo]
Exercise4.E48API [definition, in E48API]
Exercise4.E48APIo [definition, in E48APIo]
Exercise4.E48I [definition, in E48I]
Exercise4.E48Io [definition, in E48Io]
Exercise4.E48Js [definition, in E48Js]
Exercise4.E48P [definition, in E48P]
Exercise4.E48Ps [definition, in E48Ps]
Exercise4.E48z [definition, in E48z]
Exercise4.finite_set_minimal [lemma, in finite_set_minimal]
Exercise4.finite_set_minimal1 [lemma, in finite_set_minimal1]
Exercise4.finite_bounded_greatest_B [lemma, in finite_bounded_greatest_B]
Exercise4.finite_set_maximal1 [lemma, in finite_set_maximal1]
Exercise4.finite_is_maximal_inclusion [lemma, in finite_is_maximal_inclusion]
Exercise4.fun_image_exten [lemma, in fun_image_exten]
Exercise4.irreds [definition, in irreds]
Exercise4.Irred_lattice.r [variable, in r]
Exercise4.Irred_lattice.dl3 [variable, in dl3]
Exercise4.Irred_lattice.fs [variable, in fs]
Exercise4.Irred_lattice.lr [variable, in lr]
Exercise4.Irred_lattice.nes [variable, in nes]
Exercise4.Irred_lattice [section, in Irred_lattice]
Exercise4.max_pure [definition, in max_pure]
Exercise4.meet [definition, in meet]
Exercise4.minimals [definition, in minimals]
Exercise4.minimal_in_int [definition, in minimal_in_int]
Exercise4.min_incl_r [definition, in min_incl_r]
Exercise4.mobile_ext [definition, in mobile_ext]
Exercise4.mobile_r [definition, in mobile_r]
Exercise4.mobile_alt [definition, in mobile_alt]
Exercise4.orthogonal_union_inter [lemma, in orthogonal_union_inter]
Exercise4.orthogonal_order [definition, in orthogonal_order]
Exercise4.orthogonal_union_order [lemma, in orthogonal_union_order]
Exercise4.ppr8_hyp [definition, in ppr8_hyp]
Exercise4.ppr8_conc [definition, in ppr8_conc]
Exercise4.pure [definition, in pure]
Exercise4.pure_properties_res1 [lemma, in pure_properties_res1]
Exercise4.pure_properties_res2 [lemma, in pure_properties_res2]
Exercise4.pure_properties_res3 [lemma, in pure_properties_res3]
Exercise4.pure_properties_res4 [lemma, in pure_properties_res4]
Exercise4.pure_properties_res5 [lemma, in pure_properties_res5]
Exercise4.pure_properties_res6 [lemma, in pure_properties_res6]
Exercise4.pure_properties_res7 [lemma, in pure_properties_res7]
Exercise4.pure_properties_res8 [lemma, in pure_properties_res8]
Exercise4.pure_properties_res9 [lemma, in pure_properties_res9]
Exercise4.pure_prop1 [definition, in pure_prop1]
Exercise4.pure_prop2 [definition, in pure_prop2]
Exercise4.pure_prop3 [definition, in pure_prop3]
Exercise4.pure_prop4 [definition, in pure_prop4]
Exercise4.pure_prop5 [definition, in pure_prop5]
Exercise4.setX_lattice_sup [lemma, in setX_lattice_sup]
Exercise4.setX_dlattice [lemma, in setX_dlattice]
Exercise4.setX_lattice_finite_sup [lemma, in setX_lattice_finite_sup]
Exercise4.setX_torder_dlattice [lemma, in setX_torder_dlattice]
Exercise4.set_of_pure [definition, in set_of_pure]
Exercise4.set_of_pureP [lemma, in set_of_pureP]
Exercise4.shift_mod_n_ax [lemma, in shift_mod_n_ax]
Exercise4.shift_mod_n_fb [lemma, in shift_mod_n_fb]
Exercise4.shift_mod_n_vl [lemma, in shift_mod_n_vl]
Exercise4.shift_mod_n [definition, in shift_mod_n]
Exercise4.sublattice [definition, in sublattice]
Exercise4.sublattice_dr [lemma, in sublattice_dr]
Exercise4.sublattice_pr [lemma, in sublattice_pr]
Exercise4.sup_irred [definition, in sup_irred]
Exercise5 [module, in Exercise5]
Exercise5.aleph_pr9 [lemma, in aleph_pr9]
Exercise5.Bell_pr1 [lemma, in Bell_pr1]
Exercise5.Bell_pr2 [lemma, in Bell_pr2]
Exercise5.Bell_rec [lemma, in Bell_rec]
Exercise5.Bell_pr [lemma, in Bell_pr]
Exercise5.Bell_number [definition, in Bell_number]
Exercise5.b_critical [definition, in b_critical]
Exercise5.cardinal_set_of_increasing_functions5 [lemma, in cardinal_set_of_increasing_functions5]
Exercise5.chained_prop1 [lemma, in chained_prop1]
Exercise5.chained_prop2 [lemma, in chained_prop2]
Exercise5.chain_valP [lemma, in chain_valP]
Exercise5.chain_val_finite [lemma, in chain_val_finite]
Exercise5.chain_val [definition, in chain_val]
Exercise5.cofinality_pr6 [lemma, in cofinality_pr6]
Exercise5.cofinality_pr7 [lemma, in cofinality_pr7]
Exercise5.cofinality'_pr1 [lemma, in cofinality'_pr1]
Exercise5.cofinal_image [lemma, in cofinal_image]
Exercise5.cofinal_trans [lemma, in cofinal_trans]
Exercise5.critical_product_P2 [lemma, in critical_product_P2]
Exercise5.critical_product_pr3 [lemma, in critical_product_pr3]
Exercise5.derangements [definition, in derangements]
Exercise5.disjointness [lemma, in disjointness]
Exercise5.disjointness1 [lemma, in disjointness1]
Exercise5.even_compare [lemma, in even_compare]
Exercise5.even_card_sub [definition, in even_card_sub]
Exercise5.even_card0_sub [definition, in even_card0_sub]
Exercise5.Exercice6_5e [lemma, in Exercice6_5e]
Exercise5.Exercice6_5f [lemma, in Exercice6_5f]
Exercise5.Exercice6_5g [lemma, in Exercice6_5g]
Exercise5.Exercice6_5h [lemma, in Exercice6_5h]
Exercise5.Exercice6_5i [lemma, in Exercice6_5i]
Exercise5.Exercice6_8b [lemma, in Exercice6_8b]
Exercise5.Exercice6_8c [lemma, in Exercice6_8c]
Exercise5.exercice6_2 [lemma, in exercice6_2]
Exercise5.Exercise_6_1 [lemma, in Exercise_6_1]
Exercise5.Exercise_6_1bis [lemma, in Exercise_6_1bis]
Exercise5.exercise_6_19b [lemma, in exercise_6_19b]
Exercise5.Exercise5_5.E [variable, in E]
Exercise5.Exercise5_5.f [variable, in f]
Exercise5.Exercise5_5.r [variable, in r]
Exercise5.Exercise5_5.dl [variable, in dl]
Exercise5.Exercise5_5.lr [variable, in lr]
Exercise5.Exercise5_5.sr [variable, in sr]
Exercise5.Exercise5_5.hyp_f [variable, in hyp_f]
Exercise5.Exercise5_10 [lemma, in Exercise5_10]
Exercise5.Exercise5_3a [lemma, in Exercise5_3a]
Exercise5.Exercise5_8a [lemma, in Exercise5_8a]
Exercise5.Exercise5_5.card_f [variable, in card_f]
Exercise5.Exercise5_5_a1 [lemma, in Exercise5_5_a1]
Exercise5.Exercise5_5_a2 [lemma, in Exercise5_5_a2]
Exercise5.Exercise5_5_b1 [lemma, in Exercise5_5_b1]
Exercise5.Exercise5_5_b2 [lemma, in Exercise5_5_b2]
Exercise5.Exercise5_5_b3 [lemma, in Exercise5_5_b3]
Exercise5.Exercise5_5_conc_aux [definition, in Exercise5_5_conc_aux]
Exercise5.Exercise5_5_conc [definition, in Exercise5_5_conc]
Exercise5.Exercise5_1 [lemma, in Exercise5_1]
Exercise5.Exercise5_2 [lemma, in Exercise5_2]
Exercise5.Exercise5_5 [section, in Exercise5_5]
Exercise5.Exercise5_6 [lemma, in Exercise5_6]
Exercise5.Exercise6_24.E [variable, in E]
Exercise5.Exercise6_6.E [variable, in E]
Exercise5.Exercise6_24.F [variable, in F]
Exercise5.Exercise6_6.F [variable, in F]
Exercise5.Exercise6_24.a [variable, in a]
Exercise5.Exercise6_15.b [variable, in b]
Exercise5.Exercise6_24.ceF [variable, in ceF]
Exercise5.Exercise6_6.leFE [variable, in leFE]
Exercise5.Exercise6_24.FE [variable, in FE]
Exercise5.Exercise6_24.cF [variable, in cF]
Exercise5.Exercise6_24.iF [variable, in iF]
Exercise5.Exercise6_12a [lemma, in Exercise6_12a]
Exercise5.Exercise6_12b [lemma, in Exercise6_12b]
Exercise5.Exercise6_12c [lemma, in Exercise6_12c]
Exercise5.Exercise6_12d [lemma, in Exercise6_12d]
Exercise5.Exercise6_12e [lemma, in Exercise6_12e]
Exercise5.Exercise6_12f [lemma, in Exercise6_12f]
Exercise5.Exercise6_12g [lemma, in Exercise6_12g]
Exercise5.Exercise6_16a [lemma, in Exercise6_16a]
Exercise5.Exercise6_24a [lemma, in Exercise6_24a]
Exercise5.Exercise6_24b [lemma, in Exercise6_24b]
Exercise5.Exercise6_15 [section, in Exercise6_15]
Exercise5.Exercise6_24 [section, in Exercise6_24]
Exercise5.Exercise6_5a [lemma, in Exercise6_5a]
Exercise5.Exercise6_5b [lemma, in Exercise6_5b]
Exercise5.Exercise6_5c [lemma, in Exercise6_5c]
Exercise5.Exercise6_5d [lemma, in Exercise6_5d]
Exercise5.Exercise6_6a [lemma, in Exercise6_6a]
Exercise5.Exercise6_6b [lemma, in Exercise6_6b]
Exercise5.Exercise6_6c [lemma, in Exercise6_6c]
Exercise5.Exercise6_7a [lemma, in Exercise6_7a]
Exercise5.Exercise6_7b [lemma, in Exercise6_7b]
Exercise5.Exercise6_9a [lemma, in Exercise6_9a]
Exercise5.Exercise6_6.Einf [variable, in Einf]
Exercise5.Exercise6_3 [lemma, in Exercise6_3]
Exercise5.Exercise6_6.Finf [variable, in Finf]
Exercise5.Exercise6_4 [lemma, in Exercise6_4]
Exercise5.Exercise6_6 [section, in Exercise6_6]
Exercise5.Exercise6_9 [lemma, in Exercise6_9]
Exercise5.Exercise6_15.bg2 [variable, in bg2]
Exercise5.Ex6_12_ax [definition, in Ex6_12_ax]
Exercise5.Ex6_12_c [definition, in Ex6_12_c]
Exercise5.Ex6_12_e [definition, in Ex6_12_e]
Exercise5.Ex6_12_v [definition, in Ex6_12_v]
Exercise5.image_by_fun_injective [lemma, in image_by_fun_injective]
Exercise5.infinite_increasing_power3 [lemma, in infinite_increasing_power3]
Exercise5.infinite_powerset [lemma, in infinite_powerset]
Exercise5.intersection_singletonP [lemma, in intersection_singletonP]
Exercise5.intersection_sub1 [lemma, in intersection_sub1]
Exercise5.is_singleton_int [lemma, in is_singleton_int]
Exercise5.nbder [definition, in nbder]
Exercise5.nbder_pr [lemma, in nbder_pr]
Exercise5.nbder_0 [lemma, in nbder_0]
Exercise5.nbder_1 [lemma, in nbder_1]
Exercise5.nbder_pr2 [lemma, in nbder_pr2]
Exercise5.nbder_pr3 [lemma, in nbder_pr3]
Exercise5.nbder_pr4 [lemma, in nbder_pr4]
Exercise5.nbpart [definition, in nbpart]
Exercise5.nbpart_pr1 [lemma, in nbpart_pr1]
Exercise5.nbpart_pr [lemma, in nbpart_pr]
Exercise5.nbsurj [definition, in nbsurj]
Exercise5.nbsurj_pr [lemma, in nbsurj_pr]
Exercise5.nbsurj_rec [lemma, in nbsurj_rec]
Exercise5.nbsurj_part [lemma, in nbsurj_part]
Exercise5.nbsurj_inv [lemma, in nbsurj_inv]
Exercise5.odd_nonempty [lemma, in odd_nonempty]
Exercise5.odd_card_sub [definition, in odd_card_sub]
Exercise5.ord_square_inj [lemma, in ord_square_inj]
Exercise5.ord_induction_p20 [lemma, in ord_induction_p20]
Exercise5.partitionsx [definition, in partitionsx]
Exercise5.product2_infinite3 [lemma, in product2_infinite3]
Exercise5.rev_succ_pr [lemma, in rev_succ_pr]
Exercise5.setP_lattice_d1 [lemma, in setP_lattice_d1]
Exercise5.sub_disjoint [lemma, in sub_disjoint]
Exercise5.sub_chainedP [lemma, in sub_chainedP]
Exercise5.sub_chain [definition, in sub_chain]
Exercise5.surjections [definition, in surjections]
Exercise5.the_cnf_e_p2 [lemma, in the_cnf_e_p2]
Exercise5.the_cnf_e_p3 [lemma, in the_cnf_e_p3]
Exercise5.the_cnf_e_p4 [lemma, in the_cnf_e_p4]
Exercise5.the_cnf_e_p5 [lemma, in the_cnf_e_p5]
Exercise5.the_cnf_e_p6 [lemma, in the_cnf_e_p6]
Exercise5.the_cnf_e_p7 [lemma, in the_cnf_e_p7]
Exercise5.the_cnf_e_p8 [lemma, in the_cnf_e_p8]
Exercise5.the_cnf_e_p9 [lemma, in the_cnf_e_p9]
Exercise5.the_cnf_expos_zero [lemma, in the_cnf_expos_zero]
Exercise5.the_cnf_expos_rec [definition, in the_cnf_expos_rec]
Exercise5.the_cnf_len [definition, in the_cnf_len]
Exercise5.the_cnf_expos_rec_nc [definition, in the_cnf_expos_rec_nc]
Exercise5.the_cnf_expos [definition, in the_cnf_expos]
Exercise5.worder_image [lemma, in worder_image]
Exercise5.zbijective [definition, in zbijective]
Exercise5.zequiv [definition, in zequiv]
Exercise5.zequiv_empty [lemma, in zequiv_empty]
Exercise5.zequiv_transitive [lemma, in zequiv_transitive]
Exercise5.zequiv_example1 [lemma, in zequiv_example1]
Exercise5.zequiv_example2 [lemma, in zequiv_example2]
Exercise5.zequiv_example4 [lemma, in zequiv_example4]
Exercise5.zequiv_symmetric [lemma, in zequiv_symmetric]
Exercise5.zequiv_no_graph [lemma, in zequiv_no_graph]
Exercise5.zequiv_sub [lemma, in zequiv_sub]
Exercise5.zequiv_symm [lemma, in zequiv_symm]
Exercise5.zequiv_reflexive [lemma, in zequiv_reflexive]
Exercise5.ziequivalent [definition, in ziequivalent]
Exercise5.zmap [definition, in zmap]
Exercise5.zmap_aux [definition, in zmap_aux]
Exercise5.zmap_setP [lemma, in zmap_setP]
Exercise5.zmap_sub [lemma, in zmap_sub]
Exercise5.zmap_symm [lemma, in zmap_symm]
Exercise5.zmap_example1 [lemma, in zmap_example1]
Exercise5.zmap_example2 [lemma, in zmap_example2]
Exercise5.zmap_example3 [lemma, in zmap_example3]
Exercise5.zmap_example4 [lemma, in zmap_example4]
Exercise5.zmap_val [definition, in zmap_val]
Exercise5.zmap_transitive [lemma, in zmap_transitive]
Exercise5.zmap_aux_pr1 [lemma, in zmap_aux_pr1]
Exercise5.zmap_aux_pr2 [lemma, in zmap_aux_pr2]
Exercise5.zmap_bijective [lemma, in zmap_bijective]
Exercise5.zmap_pr1 [lemma, in zmap_pr1]
Exercise5.zmap_aux_pr3a [lemma, in zmap_aux_pr3a]
Exercise5.zmap_aux_pr3b [lemma, in zmap_aux_pr3b]
Exercise5.zmap_val_pr1a [lemma, in zmap_val_pr1a]
Exercise5.zmap_val_pr1b [lemma, in zmap_val_pr1b]
Exercise5.zmap_val_pr2a [lemma, in zmap_val_pr2a]
Exercise5.zmap_val_pr2b [lemma, in zmap_val_pr2b]
Exercise5.zmap_val_pr3a [lemma, in zmap_val_pr3a]
Exercise5.zmap_val_pr3b [lemma, in zmap_val_pr3b]
Exercise5.zpr [definition, in zpr]
Exercise5.zprod [definition, in zprod]
Exercise5.zprod_singleton [lemma, in zprod_singleton]
Exercise5.zprod2 [definition, in zprod2]
Exercise5.zprod2_pr1a [lemma, in zprod2_pr1a]
Exercise5.zprod2_pr1b [lemma, in zprod2_pr1b]
Exercise5.zprod2_pr0aa [lemma, in zprod2_pr0aa]
Exercise5.zprod2_pr0bb [lemma, in zprod2_pr0bb]
Exercise5.zprod2_pr0ax [lemma, in zprod2_pr0ax]
Exercise5.zprod2_pr0bx [lemma, in zprod2_pr0bx]
Exercise5.zprod2_pr0 [lemma, in zprod2_pr0]
Exercise5.zprod2_pr1 [lemma, in zprod2_pr1]
Exercise5.zprod2_pr2 [lemma, in zprod2_pr2]
Exercise5.zprod2_P [lemma, in zprod2_P]
Exercise6 [module, in Exercise6]
Exercise6.csup_s1 [lemma, in csup_s1]
Exercise6.csup_s2 [lemma, in csup_s2]
Exercise6.csup_s [definition, in csup_s]
Exercise6.dd_pr1 [lemma, in dd_pr1]
Exercise6.dd_pr2 [lemma, in dd_pr2]
Exercise6.dd_pr3 [lemma, in dd_pr3]
Exercise6.dd_pr4 [lemma, in dd_pr4]
Exercise6.disjointness_degree [definition, in disjointness_degree]
Exercise6.Exercise_6_20b [lemma, in Exercise_6_20b]
Exercise6.Exercise_6_20c1 [lemma, in Exercise_6_20c1]
Exercise6.Exercise_6_20c2 [lemma, in Exercise_6_20c2]
Exercise6.Exercise6_33.E [variable, in E]
Exercise6.Exercise6_33.F [variable, in F]
Exercise6.Exercise6_33.a [variable, in a]
Exercise6.Exercise6_33.b [variable, in b]
Exercise6.Exercise6_33.ha [variable, in ha]
Exercise6.Exercise6_33.hb [variable, in hb]
Exercise6.Exercise6_33.iab [variable, in iab]
Exercise6.Exercise6_33.HF0 [variable, in HF0]
Exercise6.Exercise6_33.HF1 [variable, in HF1]
Exercise6.Exercise6_33.HF2 [variable, in HF2]
Exercise6.Exercise6_29a [lemma, in Exercise6_29a]
Exercise6.Exercise6_29b [lemma, in Exercise6_29b]
Exercise6.Exercise6_29c [lemma, in Exercise6_29c]
Exercise6.Exercise6_29d [lemma, in Exercise6_29d]
Exercise6.Exercise6_29e [lemma, in Exercise6_29e]
Exercise6.Exercise6_29f [lemma, in Exercise6_29f]
Exercise6.Exercise6_22c1 [lemma, in Exercise6_22c1]
Exercise6.Exercise6_22c2 [lemma, in Exercise6_22c2]
Exercise6.Exercise6_33 [section, in Exercise6_33]
Exercise6.Exercise6_33a [lemma, in Exercise6_33a]
Exercise6.Exercise6_33b [lemma, in Exercise6_33b]
Exercise6.Exercise6_33c [lemma, in Exercise6_33c]
Exercise6.Exercise6_33d [lemma, in Exercise6_33d]
Exercise6.Exercise6_33e [lemma, in Exercise6_33e]
Exercise6.Exercise6_33f [lemma, in Exercise6_33f]
Exercise6.Exercise6_33g [lemma, in Exercise6_33g]
Exercise6.Exercise6_33h [lemma, in Exercise6_33h]
Exercise6.Exercise6_33i [lemma, in Exercise6_33i]
Exercise6.Exercise6_33j [lemma, in Exercise6_33j]
Exercise6.Exercise6_33k [lemma, in Exercise6_33k]
Exercise6.Exercise6_33l [lemma, in Exercise6_33l]
Exercise6.Exercise6_33m [lemma, in Exercise6_33m]
Exercise6.Exercise6_33n [lemma, in Exercise6_33n]
Exercise6.Exercise6_33o [lemma, in Exercise6_33o]
Exercise6.Exercise6_33p [lemma, in Exercise6_33p]
Exercise6.Exercise6_33q [lemma, in Exercise6_33q]
Exercise6.Ex6_33_conc [definition, in Ex6_33_conc]
Exercise6.E6_33_M [definition, in E6_33_M]
Exercise6.E6_33_X [definition, in E6_33_X]
Exercise6.E6_33_c [definition, in E6_33_c]
Exercise6.E6_33_r [definition, in E6_33_r]
Exercise6.E6_33_x [definition, in E6_33_x]
Exercise6.E6_33_y [definition, in E6_33_y]
Exercise6.E6_33_N0 [definition, in E6_33_N0]
Exercise6.E6_33_Mi [definition, in E6_33_Mi]
Exercise6.E6_33_al [definition, in E6_33_al]
Exercise6.E6_33_rho [definition, in E6_33_rho]
Exercise6.inc_set_of_segments1 [lemma, in inc_set_of_segments1]
Exercise6.Noetherian [definition, in Noetherian]
Exercise6.Noetherian_set_pr [lemma, in Noetherian_set_pr]
Exercise6.Noetherian_set [definition, in Noetherian_set]
Exercise6.restriction_to_segmentA [definition, in restriction_to_segmentA]
Exercise6.rts_extensionality1 [lemma, in rts_extensionality1]
Exercise6.rts_surjective1 [lemma, in rts_surjective1]
Exercise6.rts_function1 [lemma, in rts_function1]
Exercise6.rts_W1 [lemma, in rts_W1]
Exercise6.transfinite_unique11 [lemma, in transfinite_unique11]
exp3_addn [lemma, in exp3_addn]
exp3_addn1 [lemma, in exp3_addn1]
F
FiniteSets [module, in FiniteSets]FiniteSets.bijective_if_same_finite_c_inj [lemma, in bijective_if_same_finite_c_inj]
FiniteSets.bijective_if_same_finite_c_surj [lemma, in bijective_if_same_finite_c_surj]
FiniteSets.Bint_ccP1 [lemma, in Bint_ccP1]
FiniteSets.Bint_ccP [lemma, in Bint_ccP]
FiniteSets.Bint_coP [lemma, in Bint_coP]
FiniteSets.Bint_coP1 [lemma, in Bint_coP1]
FiniteSets.Bnat [definition, in Bnat]
FiniteSets.BnatIinterval [section, in BnatIinterval]
FiniteSets.BnatIinterval.a [variable, in a]
FiniteSets.BnatIinterval.ab [variable, in ab]
FiniteSets.BnatIinterval.b [variable, in b]
FiniteSets.BnatIinterval.bB [variable, in bB]
FiniteSets.BnatP [lemma, in BnatP]
FiniteSets.Bnat_i [lemma, in Bnat_i]
FiniteSets.Bnat_in_product [lemma, in Bnat_in_product]
FiniteSets.Bnat_order_leP [lemma, in Bnat_order_leP]
FiniteSets.Bnat_in_sum [lemma, in Bnat_in_sum]
FiniteSets.Bnat_hi [lemma, in Bnat_hi]
FiniteSets.Bnat_le [definition, in Bnat_le]
FiniteSets.Bnat_lt [definition, in Bnat_lt]
FiniteSets.Bnat_oset [lemma, in Bnat_oset]
FiniteSets.Bnat_order [definition, in Bnat_order]
FiniteSets.Bnat_in_sum2 [lemma, in Bnat_in_sum2]
FiniteSets.Bnat_cardinal [lemma, in Bnat_cardinal]
FiniteSets.Bnat_dichot [lemma, in Bnat_dichot]
FiniteSets.Bnat_order_wor [lemma, in Bnat_order_wor]
FiniteSets.Bnat_le_infinite [lemma, in Bnat_le_infinite]
FiniteSets.Bnat_wordered [lemma, in Bnat_wordered]
FiniteSets.Bsucc_rw [lemma, in Bsucc_rw]
FiniteSets.bsum0l [lemma, in bsum0l]
FiniteSets.bsum0r [lemma, in bsum0r]
FiniteSets.BS_diff [lemma, in BS_diff]
FiniteSets.BS_lt_int [lemma, in BS_lt_int]
FiniteSets.BS_nsucc [lemma, in BS_nsucc]
FiniteSets.BS_succ [lemma, in BS_succ]
FiniteSets.BS_le_int [lemma, in BS_le_int]
FiniteSets.BS_pow [lemma, in BS_pow]
FiniteSets.BS_pow2 [lemma, in BS_pow2]
FiniteSets.BS_sum [lemma, in BS_sum]
FiniteSets.BS_prod [lemma, in BS_prod]
FiniteSets.BS0 [lemma, in BS0]
FiniteSets.BS1 [lemma, in BS1]
FiniteSets.BS2 [lemma, in BS2]
FiniteSets.BS3 [lemma, in BS3]
FiniteSets.BS4 [lemma, in BS4]
FiniteSets.cardinal_c_induction3_v [lemma, in cardinal_c_induction3_v]
FiniteSets.cardinal_c_induction [lemma, in cardinal_c_induction]
FiniteSets.cardinal_c_induction1 [lemma, in cardinal_c_induction1]
FiniteSets.cardinal_c_induction2 [lemma, in cardinal_c_induction2]
FiniteSets.cardinal_c_induction3 [lemma, in cardinal_c_induction3]
FiniteSets.cardinal_c_induction4 [lemma, in cardinal_c_induction4]
FiniteSets.card_le_succ_ltP [lemma, in card_le_succ_ltP]
FiniteSets.card_lt_succ_leP [lemma, in card_lt_succ_leP]
FiniteSets.card_four [definition, in card_four]
FiniteSets.card_succ_succ_ltP [lemma, in card_succ_succ_ltP]
FiniteSets.card_finite_setP [lemma, in card_finite_setP]
FiniteSets.card_le_succ_lt0P [lemma, in card_le_succ_lt0P]
FiniteSets.card_lt_succ [lemma, in card_lt_succ]
FiniteSets.card_le_succ [lemma, in card_le_succ]
FiniteSets.card_three [definition, in card_three]
FiniteSets.card_le_succ_succP [lemma, in card_le_succ_succP]
FiniteSets.card_le_succ0 [lemma, in card_le_succ0]
FiniteSets.cdiff_nz [lemma, in cdiff_nz]
FiniteSets.cdiff_le1 [lemma, in cdiff_le1]
FiniteSets.cpred [definition, in cpred]
FiniteSets.cpred_pr [lemma, in cpred_pr]
FiniteSets.cpred_pr1 [lemma, in cpred_pr1]
FiniteSets.cpred_pr2 [lemma, in cpred_pr2]
FiniteSets.cpred_pr3 [lemma, in cpred_pr3]
FiniteSets.cprod_via_sum' [lemma, in cprod_via_sum']
FiniteSets.cprod_via_sum [lemma, in cprod_via_sum]
FiniteSets.csum_via_succ' [lemma, in csum_via_succ']
FiniteSets.csum_via_succ1 [lemma, in csum_via_succ1]
FiniteSets.csum_via_succ [lemma, in csum_via_succ]
FiniteSets.CS_Bnat [lemma, in CS_Bnat]
FiniteSets.emptyset_finite [lemma, in emptyset_finite]
FiniteSets.equipotent_domain [lemma, in equipotent_domain]
FiniteSets.finite_image [lemma, in finite_image]
FiniteSets.finite_set_maximal [lemma, in finite_set_maximal]
FiniteSets.finite_subset_Bnat [lemma, in finite_subset_Bnat]
FiniteSets.finite_graph_domain [lemma, in finite_graph_domain]
FiniteSets.finite_subset_lattice_sup [lemma, in finite_subset_lattice_sup]
FiniteSets.finite_set_scdo [lemma, in finite_set_scdo]
FiniteSets.finite_set_torder_greatest [lemma, in finite_set_torder_greatest]
FiniteSets.finite_fun_image [lemma, in finite_fun_image]
FiniteSets.finite_subset_torder_greatest [lemma, in finite_subset_torder_greatest]
FiniteSets.finite_subset_torder_least [lemma, in finite_subset_torder_least]
FiniteSets.finite_set_induction [lemma, in finite_set_induction]
FiniteSets.finite_set_torder_least [lemma, in finite_set_torder_least]
FiniteSets.finite_set_torder_wor [lemma, in finite_set_torder_wor]
FiniteSets.finite_character_example [lemma, in finite_character_example]
FiniteSets.finite_image_by [lemma, in finite_image_by]
FiniteSets.finite_subset_directed_bounded [lemma, in finite_subset_directed_bounded]
FiniteSets.finite_subset_lattice_inf [lemma, in finite_subset_lattice_inf]
FiniteSets.finite_set_induction0 [lemma, in finite_set_induction0]
FiniteSets.finite_set_induction1 [lemma, in finite_set_induction1]
FiniteSets.finite_set_induction2 [lemma, in finite_set_induction2]
FiniteSets.finite_set_induction3 [lemma, in finite_set_induction3]
FiniteSets.finite_range [lemma, in finite_range]
FiniteSets.finite_succP [lemma, in finite_succP]
FiniteSets.finite_prod2 [lemma, in finite_prod2]
FiniteSets.finite_0 [lemma, in finite_0]
FiniteSets.finite_1 [lemma, in finite_1]
FiniteSets.finite_2 [lemma, in finite_2]
FiniteSets.finite_character [definition, in finite_character]
FiniteSets.infimum_setU1 [lemma, in infimum_setU1]
FiniteSets.infinite_product_alt [lemma, in infinite_product_alt]
FiniteSets.infinite_product_aux [lemma, in infinite_product_aux]
FiniteSets.infinite_product_prop2 [lemma, in infinite_product_prop2]
FiniteSets.infinite_Bnat [lemma, in infinite_Bnat]
FiniteSets.inf_setU1 [lemma, in inf_setU1]
FiniteSets.LatticeProps [section, in LatticeProps]
FiniteSets.LatticeProps.E [variable, in E]
FiniteSets.LatticeProps.lr [variable, in lr]
FiniteSets.LatticeProps.r [variable, in r]
FiniteSets.lattice_finite_sup2 [lemma, in lattice_finite_sup2]
FiniteSets.lattice_finite_inf3P [lemma, in lattice_finite_inf3P]
FiniteSets.lattice_finite_sup3P [lemma, in lattice_finite_sup3P]
FiniteSets.lattice_finite_inf2 [lemma, in lattice_finite_inf2]
FiniteSets.least_int_prop [lemma, in least_int_prop]
FiniteSets.least_int_prop1 [lemma, in least_int_prop1]
FiniteSets.least_int_prop2 [lemma, in least_int_prop2]
FiniteSets.maximal_inclusion [lemma, in maximal_inclusion]
FiniteSets.maximal_inclusion_aux [lemma, in maximal_inclusion_aux]
FiniteSets.nat_to_B_Bnat [lemma, in nat_to_B_Bnat]
FiniteSets.nat_to_B_succ [lemma, in nat_to_B_succ]
FiniteSets.nat_to_B_le [lemma, in nat_to_B_le]
FiniteSets.nat_to_B_sum [lemma, in nat_to_B_sum]
FiniteSets.nat_to_B [definition, in nat_to_B]
FiniteSets.nat_to_B_surjective [lemma, in nat_to_B_surjective]
FiniteSets.nat_to_B_prod [lemma, in nat_to_B_prod]
FiniteSets.nat_to_B_injective [lemma, in nat_to_B_injective]
FiniteSets.nat_to_B_diff [lemma, in nat_to_B_diff]
FiniteSets.nat_to_B_pow [lemma, in nat_to_B_pow]
FiniteSets.ordering_pair1 [lemma, in ordering_pair1]
FiniteSets.ordering_pair2 [lemma, in ordering_pair2]
FiniteSets.ordering_pair3 [lemma, in ordering_pair3]
FiniteSets.ordering_pair4 [lemma, in ordering_pair4]
FiniteSets.ordinal_pair [definition, in ordinal_pair]
FiniteSets.ord_pair_le [definition, in ord_pair_le]
FiniteSets.power_2_4 [lemma, in power_2_4]
FiniteSets.pow_succ [lemma, in pow_succ]
FiniteSets.pow_succ' [lemma, in pow_succ']
FiniteSets.range_smaller_cardinal [lemma, in range_smaller_cardinal]
FiniteSets.setU1_succ_card [lemma, in setU1_succ_card]
FiniteSets.setU1_finite [lemma, in setU1_finite]
FiniteSets.set1_finite [lemma, in set1_finite]
FiniteSets.set2_finite [lemma, in set2_finite]
FiniteSets.strict_sub_smaller [lemma, in strict_sub_smaller]
FiniteSets.strict_sub_smaller1 [lemma, in strict_sub_smaller1]
FiniteSets.succ_of_Bnat [lemma, in succ_of_Bnat]
FiniteSets.supremum_setU1 [lemma, in supremum_setU1]
FiniteSets.sup_setU1 [lemma, in sup_setU1]
FiniteSets.two_times_two [lemma, in two_times_two]
FiniteSets.two_plus_two [lemma, in two_plus_two]
FiniteSets.well_ordering_pair [lemma, in well_ordering_pair]
_
_ <=N _ [notation, in ::x_'<=N'_x]
\3c [notation, in ::'\3c']
\4c [notation, in ::'\4c']
foo [lemma, in foo]
foo1 [lemma, in foo1]
foo2 [lemma, in foo2]
foo3 [lemma, in foo3]
Ftype [definition, in Ftype]
Function [module, in Function]
Function.action_prop [definition, in action_prop]
Function.allf [definition, in allf]
Function.composablef [definition, in composablef]
Function.composef [definition, in composef]
Function.composef_fgraph [lemma, in composef_fgraph]
Function.composef_domain [lemma, in composef_domain]
Function.composef_range [lemma, in composef_range]
Function.composef_ev [lemma, in composef_ev]
Function.cst_graph_d [lemma, in cst_graph_d]
Function.cst_graph_ev [lemma, in cst_graph_ev]
Function.cst_graph_pr [lemma, in cst_graph_pr]
Function.cst_graph_fgraph [lemma, in cst_graph_fgraph]
Function.cst_graph [definition, in cst_graph]
Function.domain [definition, in domain]
Function.domainP [lemma, in domainP]
Function.domain_set0_P [lemma, in domain_set0_P]
Function.domain_set0P [lemma, in domain_set0P]
Function.domain_setU1 [lemma, in domain_setU1]
Function.domain_setU2 [lemma, in domain_setU2]
Function.domain_S [lemma, in domain_S]
Function.domain_i [lemma, in domain_i]
Function.domain_set0 [lemma, in domain_set0]
Function.domain_set1 [lemma, in domain_set1]
Function.domain_setU [lemma, in domain_setU]
Function.domain_i1 [lemma, in domain_i1]
Function.double_restr [lemma, in double_restr]
Function.fdomain_pr1 [lemma, in fdomain_pr1]
Function.fgraph [definition, in fgraph]
Function.fgraph_exten [lemma, in fgraph_exten]
Function.fgraph_pr [lemma, in fgraph_pr]
Function.fgraph_set0 [lemma, in fgraph_set0]
Function.fgraph_sg [lemma, in fgraph_sg]
Function.fgraph_setU1 [lemma, in fgraph_setU1]
Function.fgraph_setU2 [lemma, in fgraph_setU2]
Function.identity_ev [lemma, in identity_ev]
Function.identity_d [lemma, in identity_d]
Function.identity_g [definition, in identity_g]
Function.identity_r [lemma, in identity_r]
Function.identity_fgraph [lemma, in identity_fgraph]
Function.identity_sgraph [lemma, in identity_sgraph]
Function.inc_V_range [lemma, in inc_V_range]
Function.in_graph_V [lemma, in in_graph_V]
Function.Lg [definition, in Lg]
Function.Lg_create [lemma, in Lg_create]
Function.Lg_fgraph [lemma, in Lg_fgraph]
Function.Lg_i [lemma, in Lg_i]
Function.Lg_domain [lemma, in Lg_domain]
Function.Lg_range [lemma, in Lg_range]
Function.Lg_recovers [lemma, in Lg_recovers]
Function.Lg_range_P [lemma, in Lg_range_P]
Function.Lg_exten [lemma, in Lg_exten]
Function.LVg_E [lemma, in LVg_E]
Function.pr2_V [lemma, in pr2_V]
Function.range [definition, in range]
Function.rangeP [lemma, in rangeP]
Function.range_gP [lemma, in range_gP]
Function.range_i2 [lemma, in range_i2]
Function.range_set0 [lemma, in range_set0]
Function.range_set1 [lemma, in range_set1]
Function.range_S [lemma, in range_S]
Function.range_setU [lemma, in range_setU]
Function.range_i [lemma, in range_i]
Function.range_setU1 [lemma, in range_setU1]
Function.range_setU2 [lemma, in range_setU2]
Function.range_set0_P [lemma, in range_set0_P]
Function.related [definition, in related]
Function.restr [definition, in restr]
Function.restr_to_domain [lemma, in restr_to_domain]
Function.restr_Lg [lemma, in restr_Lg]
Function.restr_ev [lemma, in restr_ev]
Function.restr_fgraph [lemma, in restr_fgraph]
Function.restr_d [lemma, in restr_d]
Function.restr_range1 [lemma, in restr_range1]
Function.same_Vg [definition, in same_Vg]
Function.setI2_graph1 [lemma, in setI2_graph1]
Function.setI2_graph2 [lemma, in setI2_graph2]
Function.setU1_V_out [lemma, in setU1_V_out]
Function.setU1_V_in [lemma, in setU1_V_in]
Function.setU2_graph [lemma, in setU2_graph]
Function.sgraph [definition, in sgraph]
Function.sgraph_set0 [lemma, in sgraph_set0]
Function.sgraph_exten [lemma, in sgraph_exten]
Function.sub_graph_ev [lemma, in sub_graph_ev]
Function.sub_fgraph [lemma, in sub_fgraph]
Function.Vg [definition, in Vg]
Function.Vprops [section, in Vprops]
Function.Vprops.f [variable, in f]
Function.Vprops.fgf [variable, in fgf]
_ =1g _ (fun_scope) [notation, in :fun_scope:x_'=1g'_x]
_ \cf _ [notation, in ::x_'\cf'_x]
_ \cfP _ [notation, in ::x_'\cfP'_x]
F1 [lemma, in F1]
F1a [lemma, in F1a]
F1_aux [lemma, in F1_aux]
F10aux [lemma, in F10aux]
F11aux [lemma, in F11aux]
F12 [lemma, in F12]
F13 [lemma, in F13]
F13direct [lemma, in F13direct]
F13' [lemma, in F13']
F14 [lemma, in F14]
F22 [lemma, in F22]
F23 [lemma, in F23]
F24 [lemma, in F24]
F24_a [lemma, in F24_a]
F24_b [lemma, in F24_b]
F25 [lemma, in F25]
F27_a [lemma, in F27_a]
F27_b [lemma, in F27_b]
F28 [lemma, in F28]
F36 [lemma, in F36]
F37 [lemma, in F37]
F37bis [lemma, in F37bis]
F38 [lemma, in F38]
F5 [lemma, in F5]
F5aux [lemma, in F5aux]
F5aux2 [lemma, in F5aux2]
F6 [lemma, in F6]
F6aux [lemma, in F6aux]
F6_aux [lemma, in F6_aux]
F6' [lemma, in F6']
F7 [lemma, in F7]
F7a [lemma, in F7a]
F7aux [lemma, in F7aux]
F7b [lemma, in F7b]
F7_aux [lemma, in F7_aux]
F8 [lemma, in F8]
F8aux [lemma, in F8aux]
F8_aux [lemma, in F8_aux]
F9 [lemma, in F9]
F9aux [lemma, in F9aux]
F9aux2 [lemma, in F9aux2]
F9_aux [lemma, in F9_aux]
F9' [lemma, in F9']
G
Gamma0 [module, in Gamma0]Gamma0.add_to_cons [lemma, in add_to_cons]
Gamma0.add_fin_omega [lemma, in add_fin_omega]
Gamma0.add_inj [lemma, in add_inj]
Gamma0.add_int [lemma, in add_int]
Gamma0.add_le1 [lemma, in add_le1]
Gamma0.add_le2 [lemma, in add_le2]
Gamma0.add_le3 [lemma, in add_le3]
Gamma0.add_le4 [lemma, in add_le4]
Gamma0.add1Nfin [lemma, in add1Nfin]
Gamma0.ap_pr0 [lemma, in ap_pr0]
Gamma0.ap_pr1 [lemma, in ap_pr1]
Gamma0.ap_pr2 [lemma, in ap_pr2]
Gamma0.ap_pr3 [lemma, in ap_pr3]
Gamma0.ap_pr4 [lemma, in ap_pr4]
Gamma0.ap_limit [lemma, in ap_limit]
Gamma0.CompareT2Eq [constructor, in CompareT2Eq]
Gamma0.CompareT2Gt [constructor, in CompareT2Gt]
Gamma0.CompareT2Lt [constructor, in CompareT2Lt]
Gamma0.compare_T2 [inductive, in compare_T2]
Gamma0.cons [constructor, in cons]
Gamma0.epsilon0 [definition, in epsilon0]
Gamma0.le_succ_succ [lemma, in le_succ_succ]
Gamma0.le_succ_succE [lemma, in le_succ_succE]
Gamma0.limit_pr [lemma, in limit_pr]
Gamma0.limit_pr1 [lemma, in limit_pr1]
Gamma0.lt_succ_succE [lemma, in lt_succ_succE]
Gamma0.lt_tail [lemma, in lt_tail]
Gamma0.lt_psi [definition, in lt_psi]
Gamma0.lt_rec [definition, in lt_rec]
Gamma0.lt_succ_succ [lemma, in lt_succ_succ]
Gamma0.lt_succ_le_1 [lemma, in lt_succ_le_1]
Gamma0.lt_succ_le_2 [lemma, in lt_succ_le_2]
Gamma0.lt_succ_le_3 [lemma, in lt_succ_le_3]
Gamma0.lt_succ_le_4 [lemma, in lt_succ_le_4]
Gamma0.minus_le [lemma, in minus_le]
Gamma0.minus_lt [lemma, in minus_lt]
Gamma0.nf_sub [lemma, in nf_sub]
Gamma0.nf_pred [lemma, in nf_pred]
Gamma0.nf_split [lemma, in nf_split]
Gamma0.nf_omega [lemma, in nf_omega]
Gamma0.nf_succ [lemma, in nf_succ]
Gamma0.nf_one [lemma, in nf_one]
Gamma0.nf_phi [lemma, in nf_phi]
Gamma0.nf_psi [lemma, in nf_psi]
Gamma0.nf_finite [lemma, in nf_finite]
Gamma0.nf_add [lemma, in nf_add]
Gamma0.no_critical [lemma, in no_critical]
Gamma0.omega [definition, in omega]
Gamma0.omega_lt_epsilon0 [lemma, in omega_lt_epsilon0]
Gamma0.omega_least_inf1 [lemma, in omega_least_inf1]
Gamma0.omega_least_inf2 [lemma, in omega_least_inf2]
Gamma0.omega_minus_one [lemma, in omega_minus_one]
Gamma0.one [definition, in one]
Gamma0.phi [definition, in phi]
Gamma0.phi_ap [lemma, in phi_ap]
Gamma0.phi_spec1 [lemma, in phi_spec1]
Gamma0.phi_spec2 [lemma, in phi_spec2]
Gamma0.phi_spec3 [lemma, in phi_spec3]
Gamma0.phi_inj1 [lemma, in phi_inj1]
Gamma0.phi_inv0 [lemma, in phi_inv0]
Gamma0.phi_inv1 [lemma, in phi_inv1]
Gamma0.phi_inv2 [lemma, in phi_inv2]
Gamma0.phi_inv3 [lemma, in phi_inv3]
Gamma0.phi_succ [lemma, in phi_succ]
Gamma0.phi_mono_a [lemma, in phi_mono_a]
Gamma0.phi_mono_b [lemma, in phi_mono_b]
Gamma0.phi_mono_c [lemma, in phi_mono_c]
Gamma0.phi_eqE [lemma, in phi_eqE]
Gamma0.phi_ab_le1 [lemma, in phi_ab_le1]
Gamma0.phi_ab_le2 [lemma, in phi_ab_le2]
Gamma0.phi_fix1 [lemma, in phi_fix1]
Gamma0.phi_fix2 [lemma, in phi_fix2]
Gamma0.phi_spec4a [lemma, in phi_spec4a]
Gamma0.phi_spec4b [lemma, in phi_spec4b]
Gamma0.phi_spec4c [lemma, in phi_spec4c]
Gamma0.phi_inj [lemma, in phi_inj]
Gamma0.phi_principalR [lemma, in phi_principalR]
Gamma0.phi_le1 [lemma, in phi_le1]
Gamma0.phi_le2 [lemma, in phi_le2]
Gamma0.phi_le3 [lemma, in phi_le3]
Gamma0.phi_ltE [lemma, in phi_ltE]
Gamma0.phi_cases [lemma, in phi_cases]
Gamma0.pred_le [lemma, in pred_le]
Gamma0.pred_lt [lemma, in pred_lt]
Gamma0.pred_succ [lemma, in pred_succ]
Gamma0.psi [definition, in psi]
Gamma0.psi_lt1 [lemma, in psi_lt1]
Gamma0.psi_lt2 [lemma, in psi_lt2]
Gamma0.psi_phi_aux [definition, in psi_phi_aux]
Gamma0.psi_phi [definition, in psi_phi]
Gamma0.psi_phi1 [lemma, in psi_phi1]
Gamma0.size [definition, in size]
Gamma0.size_prop [lemma, in size_prop]
Gamma0.size_prop1 [lemma, in size_prop1]
Gamma0.split_succ [lemma, in split_succ]
Gamma0.split_is_succ [lemma, in split_is_succ]
Gamma0.split_finite [lemma, in split_finite]
Gamma0.split_add [lemma, in split_add]
Gamma0.split_pred [lemma, in split_pred]
Gamma0.split_le [lemma, in split_le]
Gamma0.split_limit [lemma, in split_limit]
Gamma0.sub_nz [lemma, in sub_nz]
Gamma0.sub_pr [lemma, in sub_pr]
Gamma0.sub_pr1 [lemma, in sub_pr1]
Gamma0.sub_pr1r [lemma, in sub_pr1r]
Gamma0.sub_int [lemma, in sub_int]
Gamma0.sub_le1 [lemma, in sub_le1]
Gamma0.sub1a [lemma, in sub1a]
Gamma0.sub1b [lemma, in sub1b]
Gamma0.sub1Nfin [lemma, in sub1Nfin]
Gamma0.succ_is_add_one [lemma, in succ_is_add_one]
Gamma0.succ_inj [lemma, in succ_inj]
Gamma0.succ_lt [lemma, in succ_lt]
Gamma0.succ_p1 [lemma, in succ_p1]
Gamma0.succ_nz [lemma, in succ_nz]
Gamma0.succ_pred [lemma, in succ_pred]
Gamma0.succ_psi [lemma, in succ_psi]
Gamma0.succ_psi_lt2 [lemma, in succ_psi_lt2]
Gamma0.succ_psi_lt [lemma, in succ_psi_lt]
Gamma0.T1succ_nat [lemma, in T1succ_nat]
Gamma0.T1T2 [definition, in T1T2]
Gamma0.T1T2range1 [lemma, in T1T2range1]
Gamma0.T1T2range2 [lemma, in T1T2range2]
Gamma0.T1T2_inc [lemma, in T1T2_inc]
Gamma0.T1T2_inj [lemma, in T1T2_inj]
Gamma0.T2 [inductive, in T2]
Gamma0.T2add [definition, in T2add]
Gamma0.T2addA [lemma, in T2addA]
Gamma0.T2addn0 [lemma, in T2addn0]
Gamma0.T2add_eq0 [lemma, in T2add_eq0]
Gamma0.T2add0n [lemma, in T2add0n]
Gamma0.T2ap [definition, in T2ap]
Gamma0.T2eq [definition, in T2eq]
Gamma0.T2eqE [lemma, in T2eqE]
Gamma0.T2eqP [lemma, in T2eqP]
Gamma0.T2eq_add2l [lemma, in T2eq_add2l]
Gamma0.T2eq_le [lemma, in T2eq_le]
Gamma0.T2finite [definition, in T2finite]
Gamma0.T2finite_succ [lemma, in T2finite_succ]
Gamma0.T2finite1 [definition, in T2finite1]
Gamma0.T2finite2 [lemma, in T2finite2]
Gamma0.T2GeqNotGtn [constructor, in T2GeqNotGtn]
Gamma0.T2GeqNotLtn [constructor, in T2GeqNotLtn]
Gamma0.T2ge1 [lemma, in T2ge1]
Gamma0.T2GtnNotLeq [constructor, in T2GtnNotLeq]
Gamma0.T2gt1 [lemma, in T2gt1]
Gamma0.T2is_succ [definition, in T2is_succ]
Gamma0.T2le [definition, in T2le]
Gamma0.T2leNgt [lemma, in T2leNgt]
Gamma0.T2lenn [lemma, in T2lenn]
Gamma0.T2len0 [lemma, in T2len0]
Gamma0.T2leP [lemma, in T2leP]
Gamma0.T2leq_xor_gtn [inductive, in T2leq_xor_gtn]
Gamma0.T2le_psi_b [lemma, in T2le_psi_b]
Gamma0.T2le_eqVlt [lemma, in T2le_eqVlt]
Gamma0.T2le_lt_trans [lemma, in T2le_lt_trans]
Gamma0.T2le_total [lemma, in T2le_total]
Gamma0.T2le_add2l [lemma, in T2le_add2l]
Gamma0.T2le_add2r [lemma, in T2le_add2r]
Gamma0.T2le_trans [lemma, in T2le_trans]
Gamma0.T2le_psi1 [lemma, in T2le_psi1]
Gamma0.T2le_consE [lemma, in T2le_consE]
Gamma0.T2le0n [lemma, in T2le0n]
Gamma0.T2limit [definition, in T2limit]
Gamma0.T2lt [definition, in T2lt]
Gamma0.T2lta [definition, in T2lta]
Gamma0.T2ltE [lemma, in T2ltE]
Gamma0.T2ltgtP [lemma, in T2ltgtP]
Gamma0.T2ltNge [lemma, in T2ltNge]
Gamma0.T2ltnn [lemma, in T2ltnn]
Gamma0.T2LtnNotGeq [constructor, in T2LtnNotGeq]
Gamma0.T2ltn_xor_geq [inductive, in T2ltn_xor_geq]
Gamma0.T2ltn0 [lemma, in T2ltn0]
Gamma0.T2ltP [lemma, in T2ltP]
Gamma0.T2ltW [lemma, in T2ltW]
Gamma0.T2lt_psi_aux [lemma, in T2lt_psi_aux]
Gamma0.T2lt_add2l [lemma, in T2lt_add2l]
Gamma0.T2lt_add2r [lemma, in T2lt_add2r]
Gamma0.T2lt_trans [lemma, in T2lt_trans]
Gamma0.T2lt_consE [lemma, in T2lt_consE]
Gamma0.T2lt_neAle [lemma, in T2lt_neAle]
Gamma0.T2lt_le_trans [lemma, in T2lt_le_trans]
Gamma0.T2lt_ne [lemma, in T2lt_ne]
Gamma0.T2lt_psi_a [lemma, in T2lt_psi_a]
Gamma0.T2lt_psi_b [lemma, in T2lt_psi_b]
Gamma0.T2lt_ne' [lemma, in T2lt_ne']
Gamma0.T2lt_psi [lemma, in T2lt_psi]
Gamma0.T2lt_anti [lemma, in T2lt_anti]
Gamma0.T2lt_trichotomy [lemma, in T2lt_trichotomy]
Gamma0.T2lt0n [lemma, in T2lt0n]
Gamma0.T2lt1 [lemma, in T2lt1]
Gamma0.T2nat [definition, in T2nat]
Gamma0.T2nat_inc [lemma, in T2nat_inc]
Gamma0.T2nf [definition, in T2nf]
Gamma0.T2nf_cons_cons [lemma, in T2nf_cons_cons]
Gamma0.T2nf_consE [lemma, in T2nf_consE]
Gamma0.T2nf_finite [lemma, in T2nf_finite]
Gamma0.T2pred [definition, in T2pred]
Gamma0.T2split [definition, in T2split]
Gamma0.T2sub [definition, in T2sub]
Gamma0.T2subnn [lemma, in T2subnn]
Gamma0.T2subn0 [lemma, in T2subn0]
Gamma0.T2sub0n [lemma, in T2sub0n]
Gamma0.T2succ [definition, in T2succ]
Gamma0.T2_eqMixin [definition, in T2_eqMixin]
Gamma0.T2_pr1 [definition, in T2_pr1]
Gamma0.T2_pr2 [definition, in T2_pr2]
Gamma0.T2_eqType [definition, in T2_eqType]
Gamma0.zero [constructor, in zero]
_ < _ (g0_scope) [notation, in :g0_scope:x_'<'_x]
_ <= _ (g0_scope) [notation, in :g0_scope:x_'<='_x]
_ > _ (g0_scope) [notation, in :g0_scope:x_'>'_x]
_ + _ (g0_scope) [notation, in :g0_scope:x_'+'_x]
[ _ , _ ] (g0_scope) [notation, in :g0_scope:'['_x_','_x_']']
_ >= _ (g0_scope) [notation, in :g0_scope:x_'>='_x]
_ - _ (g0_scope) [notation, in :g0_scope:x_'-'_x]
\F _ (g0_scope) [notation, in :g0_scope:'\F'_x]
G3_f' [lemma, in G3_f']
G3_a [lemma, in G3_a]
G3_b [lemma, in G3_b]
G3_c [lemma, in G3_c]
G3_d [lemma, in G3_d]
G3_e [lemma, in G3_e]
G3_f [lemma, in G3_f]
G5_a [lemma, in G5_a]
G5_b [lemma, in G5_b]
G6_a [lemma, in G6_a]
G6_b [lemma, in G6_b]
G6_c [lemma, in G6_c]
I
if_simpl [lemma, in if_simpl]Image [module, in Image]
Image.funI_P [lemma, in funI_P]
Image.funI_i [lemma, in funI_i]
Image.fun_image [definition, in fun_image]
InfiniteSets [module, in InfiniteSets]
InfiniteSets.cardinal_setC1_inf [lemma, in cardinal_setC1_inf]
InfiniteSets.card_bnat_not_zero [lemma, in card_bnat_not_zero]
InfiniteSets.cdiff_pr2_gen [lemma, in cdiff_pr2_gen]
InfiniteSets.cdiff_pr1_gen [lemma, in cdiff_pr1_gen]
InfiniteSets.cdiff_infinite [lemma, in cdiff_infinite]
InfiniteSets.cdiff_increasing2_gen [lemma, in cdiff_increasing2_gen]
InfiniteSets.change_target_pr [lemma, in change_target_pr]
InfiniteSets.countableP [lemma, in countableP]
InfiniteSets.countable_set [definition, in countable_set]
InfiniteSets.countable_fun_image [lemma, in countable_fun_image]
InfiniteSets.countable_sub [lemma, in countable_sub]
InfiniteSets.countable_finite_or_N_b [lemma, in countable_finite_or_N_b]
InfiniteSets.countable_union [lemma, in countable_union]
InfiniteSets.countable_inv_image [lemma, in countable_inv_image]
InfiniteSets.countable_infinite [definition, in countable_infinite]
InfiniteSets.countable_finite_or_N [lemma, in countable_finite_or_N]
InfiniteSets.countable_infiniteP [lemma, in countable_infiniteP]
InfiniteSets.countable_product [lemma, in countable_product]
InfiniteSets.csum_lt_infinite [lemma, in csum_lt_infinite]
InfiniteSets.csum_Mltlt [lemma, in csum_Mltlt]
InfiniteSets.csum2_pr6_inf1 [lemma, in csum2_pr6_inf1]
InfiniteSets.csum2_pr6_inf2 [lemma, in csum2_pr6_inf2]
InfiniteSets.decreasing_stationaryP [lemma, in decreasing_stationaryP]
InfiniteSets.decreasing_sequence [definition, in decreasing_sequence]
InfiniteSets.decreasing_seq_prop [lemma, in decreasing_seq_prop]
InfiniteSets.equipotent_N2_N [lemma, in equipotent_N2_N]
InfiniteSets.equipotent_inf2_inf [lemma, in equipotent_inf2_inf]
InfiniteSets.finite_increasing_stationary [lemma, in finite_increasing_stationary]
InfiniteSets.finite_family_product [lemma, in finite_family_product]
InfiniteSets.increasing_sequence [definition, in increasing_sequence]
InfiniteSets.increasing_stationaryP [lemma, in increasing_stationaryP]
InfiniteSets.increasing_seq_prop [lemma, in increasing_seq_prop]
InfiniteSets.induction_defined_set [definition, in induction_defined_set]
InfiniteSets.induction_defined_set0 [definition, in induction_defined_set0]
InfiniteSets.induction_defined_set1 [definition, in induction_defined_set1]
InfiniteSets.induction_defined_pr_set [lemma, in induction_defined_pr_set]
InfiniteSets.induction_defined1 [definition, in induction_defined1]
InfiniteSets.induction_defined_pr_set0 [lemma, in induction_defined_pr_set0]
InfiniteSets.induction_defined_pr_set1 [lemma, in induction_defined_pr_set1]
InfiniteSets.induction_defined_pr1 [lemma, in induction_defined_pr1]
InfiniteSets.infinite_compl [lemma, in infinite_compl]
InfiniteSets.infinite_finite_subsets [lemma, in infinite_finite_subsets]
InfiniteSets.infinite_finite_sequence [lemma, in infinite_finite_sequence]
InfiniteSets.infinite_pow [lemma, in infinite_pow]
InfiniteSets.infinite_pow2 [lemma, in infinite_pow2]
InfiniteSets.infinite_gt_one [lemma, in infinite_gt_one]
InfiniteSets.infinite_union2 [lemma, in infinite_union2]
InfiniteSets.infinite_greater_countable1 [lemma, in infinite_greater_countable1]
InfiniteSets.infinite_partition [lemma, in infinite_partition]
InfiniteSets.infinite_ge_two [lemma, in infinite_ge_two]
InfiniteSets.infinite_greater_countable [lemma, in infinite_greater_countable]
InfiniteSets.integer_induction1 [lemma, in integer_induction1]
InfiniteSets.integer_induction_stable0 [lemma, in integer_induction_stable0]
InfiniteSets.integer_induction_stable1 [lemma, in integer_induction_stable1]
InfiniteSets.integer_induction_stable [lemma, in integer_induction_stable]
InfiniteSets.noetherian_induction [lemma, in noetherian_induction]
InfiniteSets.notbig_family_sum [lemma, in notbig_family_sum]
InfiniteSets.notbig_family_sum1 [lemma, in notbig_family_sum1]
InfiniteSets.power_of_infinite [lemma, in power_of_infinite]
InfiniteSets.power_of_infinite1 [lemma, in power_of_infinite1]
InfiniteSets.product2_infinite [lemma, in product2_infinite]
InfiniteSets.product2_infinite1 [lemma, in product2_infinite1]
InfiniteSets.product2_infinite2 [lemma, in product2_infinite2]
InfiniteSets.product2_infinite4 [lemma, in product2_infinite4]
InfiniteSets.product2_infinite5 [lemma, in product2_infinite5]
InfiniteSets.square_of_infinite [lemma, in square_of_infinite]
InfiniteSets.stationary_sequence [definition, in stationary_sequence]
InfiniteSets.sum2_infinite [lemma, in sum2_infinite]
InfiniteSets.sum2_infinite1 [lemma, in sum2_infinite1]
InfiniteSets.sum2_infinite2 [lemma, in sum2_infinite2]
IntegerProps [module, in IntegerProps]
IntegerProps.Base_b_expansion.b [variable, in b]
IntegerProps.Base_b_expansion.f [variable, in f]
IntegerProps.Base_b_expansion.g [variable, in g]
IntegerProps.Base_b_expansion.k [variable, in k]
IntegerProps.Base_b_expansion.k' [variable, in k']
IntegerProps.Base_b_expansion.Exp [variable, in Exp]
IntegerProps.Base_b_expansion [section, in Base_b_expansion]
IntegerProps.Base_b_expansion.Expg [variable, in Expg]
IntegerProps.bijective_complement [lemma, in bijective_complement]
IntegerProps.binom [definition, in binom]
IntegerProps.binomSnSm [lemma, in binomSnSm]
IntegerProps.binomSn0 [lemma, in binomSn0]
IntegerProps.binom_bad [lemma, in binom_bad]
IntegerProps.binom_2plus [lemma, in binom_2plus]
IntegerProps.binom_good [lemma, in binom_good]
IntegerProps.binom_monotone1 [lemma, in binom_monotone1]
IntegerProps.binom_monotone2 [lemma, in binom_monotone2]
IntegerProps.binom_symmetric [lemma, in binom_symmetric]
IntegerProps.binom_nn [lemma, in binom_nn]
IntegerProps.binom_symmetric2 [lemma, in binom_symmetric2]
IntegerProps.binom_2plus0 [lemma, in binom_2plus0]
IntegerProps.binom_pr0 [lemma, in binom_pr0]
IntegerProps.binom_pr1 [lemma, in binom_pr1]
IntegerProps.binom_pr3 [lemma, in binom_pr3]
IntegerProps.binom_alt_pr [lemma, in binom_alt_pr]
IntegerProps.binom0 [lemma, in binom0]
IntegerProps.binom0Sm [lemma, in binom0Sm]
IntegerProps.binom00 [lemma, in binom00]
IntegerProps.binom1 [lemma, in binom1]
IntegerProps.binom2 [lemma, in binom2]
IntegerProps.binom2a [lemma, in binom2a]
IntegerProps.Bint [definition, in Bint]
IntegerProps.Bintc [definition, in Bintc]
IntegerProps.Bintcc [definition, in Bintcc]
IntegerProps.Bintco_gleP [lemma, in Bintco_gleP]
IntegerProps.Bintco_wor [lemma, in Bintco_wor]
IntegerProps.BintcP [lemma, in BintcP]
IntegerProps.Bintc_M1 [lemma, in Bintc_M1]
IntegerProps.Bintc_M [lemma, in Bintc_M]
IntegerProps.Bintc_i [lemma, in Bintc_i]
IntegerProps.Binto_wor [lemma, in Binto_wor]
IntegerProps.Binto_gleP [lemma, in Binto_gleP]
IntegerProps.Binto_gleP2 [lemma, in Binto_gleP2]
IntegerProps.BintP [lemma, in BintP]
IntegerProps.BintsP [lemma, in BintsP]
IntegerProps.Bint_cc00 [lemma, in Bint_cc00]
IntegerProps.Bint_pr1 [lemma, in Bint_pr1]
IntegerProps.Bint_pr4 [lemma, in Bint_pr4]
IntegerProps.Bint_pr5 [lemma, in Bint_pr5]
IntegerProps.Bint_co_cc [lemma, in Bint_co_cc]
IntegerProps.Bint_cco [definition, in Bint_cco]
IntegerProps.Bint_M [lemma, in Bint_M]
IntegerProps.Bint_S [lemma, in Bint_S]
IntegerProps.Bint_i [lemma, in Bint_i]
IntegerProps.Bint_M1 [lemma, in Bint_M1]
IntegerProps.Bint_S1 [lemma, in Bint_S1]
IntegerProps.Bint_co [definition, in Bint_co]
IntegerProps.Bint_si [lemma, in Bint_si]
IntegerProps.Bint_co00 [lemma, in Bint_co00]
IntegerProps.Bint_co01 [lemma, in Bint_co01]
IntegerProps.Bint1c [definition, in Bint1c]
IntegerProps.Bint1cP [lemma, in Bint1cP]
IntegerProps.Bint1cPb [lemma, in Bint1cPb]
IntegerProps.Bnato_to_el [lemma, in Bnato_to_el]
IntegerProps.Bnat_to_ee [lemma, in Bnat_to_ee]
IntegerProps.Bnat_to_el [lemma, in Bnat_to_el]
IntegerProps.Bnat_to_ell [lemma, in Bnat_to_ell]
IntegerProps.Bnat_le_A [lemma, in Bnat_le_A]
IntegerProps.Bnat_le_R [lemma, in Bnat_le_R]
IntegerProps.Bnat_le_T [lemma, in Bnat_le_T]
IntegerProps.Bprod_M1le [lemma, in Bprod_M1le]
IntegerProps.Bsum_M0le [lemma, in Bsum_M0le]
IntegerProps.BS_factorial [lemma, in BS_factorial]
IntegerProps.BS_binom [lemma, in BS_binom]
IntegerProps.BS_quo [lemma, in BS_quo]
IntegerProps.BS_rem [lemma, in BS_rem]
IntegerProps.BS10 [lemma, in BS10]
IntegerProps.BS5 [lemma, in BS5]
IntegerProps.b_power_k_large [lemma, in b_power_k_large]
IntegerProps.cardinal_setC4 [lemma, in cardinal_setC4]
IntegerProps.cardinal_complement_image [lemma, in cardinal_complement_image]
IntegerProps.cardinal_pairs_le [lemma, in cardinal_pairs_le]
IntegerProps.cardinal_pairs_lt [lemma, in cardinal_pairs_lt]
IntegerProps.cardinal_complement_image1 [lemma, in cardinal_complement_image1]
IntegerProps.cardinal_set_of_increasing_functions [lemma, in cardinal_set_of_increasing_functions]
IntegerProps.cardinal_c_induction5 [lemma, in cardinal_c_induction5]
IntegerProps.cardinal_set_of_increasing_functions1 [lemma, in cardinal_set_of_increasing_functions1]
IntegerProps.cardinal_set_of_increasing_functions2 [lemma, in cardinal_set_of_increasing_functions2]
IntegerProps.cardinal_set_of_increasing_functions3 [lemma, in cardinal_set_of_increasing_functions3]
IntegerProps.cardinal_set_of_increasing_functions4 [lemma, in cardinal_set_of_increasing_functions4]
IntegerProps.card_five [definition, in card_five]
IntegerProps.card_divides [definition, in card_divides]
IntegerProps.card_mult_3_3 [lemma, in card_mult_3_3]
IntegerProps.card_division_exists [lemma, in card_division_exists]
IntegerProps.card_ltP [lemma, in card_ltP]
IntegerProps.card_plus_3_2 [lemma, in card_plus_3_2]
IntegerProps.card_division_prop [definition, in card_division_prop]
IntegerProps.card_division_prop_alt [lemma, in card_division_prop_alt]
IntegerProps.card_quo [definition, in card_quo]
IntegerProps.card_mult_10_3 [lemma, in card_mult_10_3]
IntegerProps.card_rem [definition, in card_rem]
IntegerProps.card_Bint [lemma, in card_Bint]
IntegerProps.card_Bint1c [lemma, in card_Bint1c]
IntegerProps.card_Bintc [lemma, in card_Bintc]
IntegerProps.card_division [lemma, in card_division]
IntegerProps.card_ten [definition, in card_ten]
IntegerProps.card_set_of_increasing_functions_int [lemma, in card_set_of_increasing_functions_int]
IntegerProps.card_Bintcc [lemma, in card_Bintcc]
IntegerProps.card_Bintcp [lemma, in card_Bintcp]
IntegerProps.card_division_unique [lemma, in card_division_unique]
IntegerProps.cdiffA [lemma, in cdiffA]
IntegerProps.cdiff_pr [lemma, in cdiff_pr]
IntegerProps.cdiff_increasing2 [lemma, in cdiff_increasing2]
IntegerProps.cdiff_increasing3 [lemma, in cdiff_increasing3]
IntegerProps.cdiff_wrong [lemma, in cdiff_wrong]
IntegerProps.cdiff_n_0 [lemma, in cdiff_n_0]
IntegerProps.cdiff_n_n [lemma, in cdiff_n_n]
IntegerProps.cdiff_nz1 [lemma, in cdiff_nz1]
IntegerProps.cdiff_le_symmetry [lemma, in cdiff_le_symmetry]
IntegerProps.cdiff_pr0 [lemma, in cdiff_pr0]
IntegerProps.cdiff_pr1 [lemma, in cdiff_pr1]
IntegerProps.cdiff_pr2 [lemma, in cdiff_pr2]
IntegerProps.cdiff_pr3 [lemma, in cdiff_pr3]
IntegerProps.cdiff_pr4 [lemma, in cdiff_pr4]
IntegerProps.cdiff_pr5 [lemma, in cdiff_pr5]
IntegerProps.cdiff_pr6 [lemma, in cdiff_pr6]
IntegerProps.cdiff_pr7 [lemma, in cdiff_pr7]
IntegerProps.cdiff_rpr [lemma, in cdiff_rpr]
IntegerProps.cdiff_lt_symmetry [lemma, in cdiff_lt_symmetry]
IntegerProps.cdiff_A1 [lemma, in cdiff_A1]
IntegerProps.cdistrib_prod2_sub [lemma, in cdistrib_prod2_sub]
IntegerProps.cdivides_and_difference [lemma, in cdivides_and_difference]
IntegerProps.cdivides_itself [lemma, in cdivides_itself]
IntegerProps.cdivides_one [lemma, in cdivides_one]
IntegerProps.cdivides_pr1 [lemma, in cdivides_pr1]
IntegerProps.cdivides_pr2 [lemma, in cdivides_pr2]
IntegerProps.cdivides_pr3 [lemma, in cdivides_pr3]
IntegerProps.cdivides_pr4 [lemma, in cdivides_pr4]
IntegerProps.cdivides_trans [lemma, in cdivides_trans]
IntegerProps.cdivides_pr [lemma, in cdivides_pr]
IntegerProps.cdivides_and_sum [lemma, in cdivides_and_sum]
IntegerProps.cdivides_trans1 [lemma, in cdivides_trans1]
IntegerProps.cdivides_trans2 [lemma, in cdivides_trans2]
IntegerProps.cdivision_of_zero [lemma, in cdivision_of_zero]
IntegerProps.cdivision_itself [lemma, in cdivision_itself]
IntegerProps.cdiv_pr [lemma, in cdiv_pr]
IntegerProps.char_fun_constant [lemma, in char_fun_constant]
IntegerProps.char_fun_V_aa [lemma, in char_fun_V_aa]
IntegerProps.char_fun_V_bb [lemma, in char_fun_V_bb]
IntegerProps.char_fun_setC [lemma, in char_fun_setC]
IntegerProps.char_fun_setI [lemma, in char_fun_setI]
IntegerProps.char_fun_setU [lemma, in char_fun_setU]
IntegerProps.cpow_Mltle [lemma, in cpow_Mltle]
IntegerProps.cpow_M1lt [lemma, in cpow_M1lt]
IntegerProps.cpow_Mlelt [lemma, in cpow_Mlelt]
IntegerProps.cpow_nz [lemma, in cpow_nz]
IntegerProps.cpow2_nz [lemma, in cpow2_nz]
IntegerProps.cpred_pr4 [lemma, in cpred_pr4]
IntegerProps.cprod_le_simplifiable [lemma, in cprod_le_simplifiable]
IntegerProps.cprod_Mlelt [lemma, in cprod_Mlelt]
IntegerProps.cprod_M1lt [lemma, in cprod_M1lt]
IntegerProps.cprod_simplifiable_right [lemma, in cprod_simplifiable_right]
IntegerProps.cprod_trivial4 [lemma, in cprod_trivial4]
IntegerProps.cprod_increasing6 [lemma, in cprod_increasing6]
IntegerProps.cprod_simplifiable_left [lemma, in cprod_simplifiable_left]
IntegerProps.cprod_lt_simplifiable [lemma, in cprod_lt_simplifiable]
IntegerProps.cquorem_pr0 [lemma, in cquorem_pr0]
IntegerProps.cquorem_pr [lemma, in cquorem_pr]
IntegerProps.cquo_one [lemma, in cquo_one]
IntegerProps.cquo_simplify [lemma, in cquo_simplify]
IntegerProps.cquo_zero [lemma, in cquo_zero]
IntegerProps.cquo_itself [lemma, in cquo_itself]
IntegerProps.crem_mult [lemma, in crem_mult]
IntegerProps.crem_prop [lemma, in crem_prop]
IntegerProps.crem_zero [lemma, in crem_zero]
IntegerProps.crem_pr [lemma, in crem_pr]
IntegerProps.crem_sum [lemma, in crem_sum]
IntegerProps.csucc_diff [lemma, in csucc_diff]
IntegerProps.csum_M0lt [lemma, in csum_M0lt]
IntegerProps.csum_to_increasing_fct [definition, in csum_to_increasing_fct]
IntegerProps.csum_trivial4 [lemma, in csum_trivial4]
IntegerProps.csum_to_increasing_fun [definition, in csum_to_increasing_fun]
IntegerProps.csum_lt_simplifiable [lemma, in csum_lt_simplifiable]
IntegerProps.csum_Mlteq [lemma, in csum_Mlteq]
IntegerProps.csum_le_simplifiable [lemma, in csum_le_simplifiable]
IntegerProps.csum_increasing6 [lemma, in csum_increasing6]
IntegerProps.csum_simplifiable_right [lemma, in csum_simplifiable_right]
IntegerProps.csum_Mlelt [lemma, in csum_Mlelt]
IntegerProps.csum_Meqlt [lemma, in csum_Meqlt]
IntegerProps.csum_simplifiable_left [lemma, in csum_simplifiable_left]
IntegerProps.csum_to_increasing1 [lemma, in csum_to_increasing1]
IntegerProps.csum_to_increasing2 [lemma, in csum_to_increasing2]
IntegerProps.csum_to_increasing4 [lemma, in csum_to_increasing4]
IntegerProps.csum_to_increasing5 [lemma, in csum_to_increasing5]
IntegerProps.csum_to_increasing6 [lemma, in csum_to_increasing6]
IntegerProps.CS_card_sum [lemma, in CS_card_sum]
IntegerProps.CS_card_prod [lemma, in CS_card_prod]
IntegerProps.divisibiliy_by_three [lemma, in divisibiliy_by_three]
IntegerProps.double_restrc [lemma, in double_restrc]
IntegerProps.double_diff [lemma, in double_diff]
IntegerProps.eqmod [definition, in eqmod]
IntegerProps.eqmod_succ [lemma, in eqmod_succ]
IntegerProps.eqmod_rem [lemma, in eqmod_rem]
IntegerProps.eqmod_plus [lemma, in eqmod_plus]
IntegerProps.eqmod_pow1 [lemma, in eqmod_pow1]
IntegerProps.eqmod_pow2 [lemma, in eqmod_pow2]
IntegerProps.eqmod_pow3 [lemma, in eqmod_pow3]
IntegerProps.eqmod_mult [lemma, in eqmod_mult]
IntegerProps.even_odd_pred [lemma, in even_odd_pred]
IntegerProps.even_two [lemma, in even_two]
IntegerProps.even_odd_sum [lemma, in even_odd_sum]
IntegerProps.even_odd_succ [lemma, in even_odd_succ]
IntegerProps.even_int [definition, in even_int]
IntegerProps.even_double [lemma, in even_double]
IntegerProps.even_zero [lemma, in even_zero]
IntegerProps.expansion [definition, in expansion]
IntegerProps.expansion_unique [lemma, in expansion_unique]
IntegerProps.expansion_exists1 [lemma, in expansion_exists1]
IntegerProps.expansion_prop10 [lemma, in expansion_prop10]
IntegerProps.expansion_prop11 [lemma, in expansion_prop11]
IntegerProps.expansion_prop12 [lemma, in expansion_prop12]
IntegerProps.expansion_prop13 [lemma, in expansion_prop13]
IntegerProps.expansion_prop14 [lemma, in expansion_prop14]
IntegerProps.expansion_prop0P [lemma, in expansion_prop0P]
IntegerProps.expansion_exists [lemma, in expansion_exists]
IntegerProps.expansion_restr1 [lemma, in expansion_restr1]
IntegerProps.expansion_restr2 [lemma, in expansion_restr2]
IntegerProps.expansion_value [definition, in expansion_value]
IntegerProps.expansion_prop1 [lemma, in expansion_prop1]
IntegerProps.expansion_prop2 [lemma, in expansion_prop2]
IntegerProps.expansion_prop3 [lemma, in expansion_prop3]
IntegerProps.expansion_prop4 [lemma, in expansion_prop4]
IntegerProps.expansion_prop5 [lemma, in expansion_prop5]
IntegerProps.expansion_prop6 [lemma, in expansion_prop6]
IntegerProps.expansion_prop7 [lemma, in expansion_prop7]
IntegerProps.expansion_prop8 [lemma, in expansion_prop8]
IntegerProps.expansion_prop9 [lemma, in expansion_prop9]
IntegerProps.expansion_ten [definition, in expansion_ten]
IntegerProps.factorial [definition, in factorial]
IntegerProps.factorial_induction [lemma, in factorial_induction]
IntegerProps.factorial_succ [lemma, in factorial_succ]
IntegerProps.factorial_monotone [lemma, in factorial_monotone]
IntegerProps.factorial_nz [lemma, in factorial_nz]
IntegerProps.factorial_prop [lemma, in factorial_prop]
IntegerProps.factorial0 [lemma, in factorial0]
IntegerProps.factorial1 [lemma, in factorial1]
IntegerProps.factorial2 [lemma, in factorial2]
IntegerProps.fct_sum_const1 [lemma, in fct_sum_const1]
IntegerProps.fct_sum_rev [lemma, in fct_sum_rev]
IntegerProps.fct_sum_rec0 [lemma, in fct_sum_rec0]
IntegerProps.fct_sum_rec1 [lemma, in fct_sum_rec1]
IntegerProps.fif_cardinal [lemma, in fif_cardinal]
IntegerProps.FiniteIntFam [section, in FiniteIntFam]
IntegerProps.FiniteIntFam.f [variable, in f]
IntegerProps.FiniteIntFam.fif [variable, in fif]
IntegerProps.finite_sum_finite [lemma, in finite_sum_finite]
IntegerProps.finite_product_finite_set [lemma, in finite_product_finite_set]
IntegerProps.finite_product_finite_aux [lemma, in finite_product_finite_aux]
IntegerProps.finite_sum_finite_aux [lemma, in finite_sum_finite_aux]
IntegerProps.finite_int_fam [definition, in finite_int_fam]
IntegerProps.finite_sum4_lt [lemma, in finite_sum4_lt]
IntegerProps.finite_ordered_interval1 [lemma, in finite_ordered_interval1]
IntegerProps.finite_product_finite [lemma, in finite_product_finite]
IntegerProps.finite_sum_lt [lemma, in finite_sum_lt]
IntegerProps.finite_product_lt [lemma, in finite_product_lt]
IntegerProps.finite_Bintcc [lemma, in finite_Bintcc]
IntegerProps.finite_ordered_interval [lemma, in finite_ordered_interval]
IntegerProps.finite_union_finite [lemma, in finite_union_finite]
IntegerProps.finite_Bint [lemma, in finite_Bint]
IntegerProps.functions_incr [definition, in functions_incr]
IntegerProps.functions_incr_int [definition, in functions_incr_int]
IntegerProps.functions_sincr [definition, in functions_sincr]
IntegerProps.functions_sum_eq [definition, in functions_sum_eq]
IntegerProps.functions_sum_le [definition, in functions_sum_le]
IntegerProps.graphs_sum_le_int [definition, in graphs_sum_le_int]
IntegerProps.graphs_sum_eq [definition, in graphs_sum_eq]
IntegerProps.graphs_sum_le [definition, in graphs_sum_le]
IntegerProps.half_even [lemma, in half_even]
IntegerProps.increasing_compose [lemma, in increasing_compose]
IntegerProps.increasing_prop0 [lemma, in increasing_prop0]
IntegerProps.increasing_prop1 [lemma, in increasing_prop1]
IntegerProps.increasing_compose3 [lemma, in increasing_compose3]
IntegerProps.increasing_prop [lemma, in increasing_prop]
IntegerProps.incsx_intsn [lemma, in incsx_intsn]
IntegerProps.inc0_int01 [lemma, in inc0_int01]
IntegerProps.inc0_int02 [lemma, in inc0_int02]
IntegerProps.induction_prod0 [lemma, in induction_prod0]
IntegerProps.induction_prod1 [lemma, in induction_prod1]
IntegerProps.induction_term0 [lemma, in induction_term0]
IntegerProps.induction_terms [lemma, in induction_terms]
IntegerProps.induction_on_sum3 [lemma, in induction_on_sum3]
IntegerProps.induction_defined_pr [lemma, in induction_defined_pr]
IntegerProps.induction_on_sum [lemma, in induction_on_sum]
IntegerProps.induction_defined0 [definition, in induction_defined0]
IntegerProps.induction_sum0 [lemma, in induction_sum0]
IntegerProps.induction_sum1 [lemma, in induction_sum1]
IntegerProps.induction_defined [definition, in induction_defined]
IntegerProps.induction_term [definition, in induction_term]
IntegerProps.induction_on_prod [lemma, in induction_on_prod]
IntegerProps.induction_defined_pr0 [lemma, in induction_defined_pr0]
IntegerProps.infinite_Bnat_alt [lemma, in infinite_Bnat_alt]
IntegerProps.injections [definition, in injections]
IntegerProps.integer_induction0 [lemma, in integer_induction0]
IntegerProps.integer_induction [lemma, in integer_induction]
IntegerProps.IntervalBnatwo [section, in IntervalBnatwo]
IntegerProps.IntervalBnatwo.a [variable, in a]
IntegerProps.IntervalBnatwo.aB [variable, in aB]
IntegerProps.IntervalBnatwo.b [variable, in b]
IntegerProps.IntervalBnatwo.bB [variable, in bB]
IntegerProps.IntervalBnatwo1 [section, in IntervalBnatwo1]
IntegerProps.IntervalBnatwo1.a [variable, in a]
IntegerProps.IntervalBnatwo1.aB [variable, in aB]
IntegerProps.isomorphism_worder_finite [lemma, in isomorphism_worder_finite]
IntegerProps.least_int_prop [lemma, in least_int_prop]
IntegerProps.least_int_prop1 [lemma, in least_int_prop1]
IntegerProps.ModuloProps [section, in ModuloProps]
IntegerProps.ModuloProps.B [variable, in B]
IntegerProps.ModuloProps.Bn [variable, in Bn]
IntegerProps.ModuloProps.Bnz [variable, in Bnz]
IntegerProps.number_of_partitions_p2 [lemma, in number_of_partitions_p2]
IntegerProps.number_of_partitions_p3 [lemma, in number_of_partitions_p3]
IntegerProps.number_of_partitions_p4 [lemma, in number_of_partitions_p4]
IntegerProps.number_of_injections_base [lemma, in number_of_injections_base]
IntegerProps.number_of_partitions1 [lemma, in number_of_partitions1]
IntegerProps.number_of_partitions3 [lemma, in number_of_partitions3]
IntegerProps.number_of_partitions4 [lemma, in number_of_partitions4]
IntegerProps.number_of_partitions6 [lemma, in number_of_partitions6]
IntegerProps.number_of_partitions7 [lemma, in number_of_partitions7]
IntegerProps.number_of_injections_int [lemma, in number_of_injections_int]
IntegerProps.number_of_partitions_bis [lemma, in number_of_partitions_bis]
IntegerProps.number_of_permutations [lemma, in number_of_permutations]
IntegerProps.number_of_injections_prop [lemma, in number_of_injections_prop]
IntegerProps.number_of_partitions5P [lemma, in number_of_partitions5P]
IntegerProps.number_of_partitions [lemma, in number_of_partitions]
IntegerProps.number_of_injections_pr [lemma, in number_of_injections_pr]
IntegerProps.number_of_injections [definition, in number_of_injections]
IntegerProps.number_of_injections_rec [lemma, in number_of_injections_rec]
IntegerProps.odd_int [definition, in odd_int]
IntegerProps.odd_one [lemma, in odd_one]
IntegerProps.partitions_piP [lemma, in partitions_piP]
IntegerProps.partitions_aux [definition, in partitions_aux]
IntegerProps.partitions_pi [definition, in partitions_pi]
IntegerProps.partition_with_pi_elements [definition, in partition_with_pi_elements]
IntegerProps.pip_prop0 [lemma, in pip_prop0]
IntegerProps.quotient_of_factorials [lemma, in quotient_of_factorials]
IntegerProps.quotient_of_factorials1 [lemma, in quotient_of_factorials1]
IntegerProps.restr_plus_interval_is [lemma, in restr_plus_interval_is]
IntegerProps.rest_minus_interval [definition, in rest_minus_interval]
IntegerProps.rest_plus_interval [definition, in rest_plus_interval]
IntegerProps.segment_Bnat_order [lemma, in segment_Bnat_order]
IntegerProps.segment_Bnat_order1 [lemma, in segment_Bnat_order1]
IntegerProps.setof_sume_auxP [lemma, in setof_sume_auxP]
IntegerProps.setof_suml_auxP [lemma, in setof_suml_auxP]
IntegerProps.set_of_functions_sum_pr [lemma, in set_of_functions_sum_pr]
IntegerProps.set_of_functions_sum0 [lemma, in set_of_functions_sum0]
IntegerProps.set_of_functions_sum1 [lemma, in set_of_functions_sum1]
IntegerProps.set_of_functions_sum2 [lemma, in set_of_functions_sum2]
IntegerProps.set_of_functions_sum3 [lemma, in set_of_functions_sum3]
IntegerProps.set_of_functions_sum4 [lemma, in set_of_functions_sum4]
IntegerProps.shepherd_principle [lemma, in shepherd_principle]
IntegerProps.sof_sum_eq_equi [lemma, in sof_sum_eq_equi]
IntegerProps.sof_sum_le_equi [lemma, in sof_sum_le_equi]
IntegerProps.strict_increasing_prop0 [lemma, in strict_increasing_prop0]
IntegerProps.strict_increasing_prop1 [lemma, in strict_increasing_prop1]
IntegerProps.strict_increasing_prop2 [lemma, in strict_increasing_prop2]
IntegerProps.strict_increasing_prop3 [lemma, in strict_increasing_prop3]
IntegerProps.strict_pos_P1 [lemma, in strict_pos_P1]
IntegerProps.strict_increasing_prop [lemma, in strict_increasing_prop]
IntegerProps.strict_pos_P [lemma, in strict_pos_P]
IntegerProps.subsets_with_p_elements_pr [lemma, in subsets_with_p_elements_pr]
IntegerProps.subsets_with_p_elements [definition, in subsets_with_p_elements]
IntegerProps.subsets_with_p_elements_pr0 [lemma, in subsets_with_p_elements_pr0]
IntegerProps.sum_of_i2bis [lemma, in sum_of_i2bis]
IntegerProps.sum_of_gen_binom [lemma, in sum_of_gen_binom]
IntegerProps.sum_of_binomial2 [lemma, in sum_of_binomial2]
IntegerProps.sum_of_i2 [lemma, in sum_of_i2]
IntegerProps.sum_of_i3 [lemma, in sum_of_i3]
IntegerProps.sum_of_binomial [lemma, in sum_of_binomial]
IntegerProps.sum_of_i [lemma, in sum_of_i]
IntegerProps.sum_of_gen_binom0 [lemma, in sum_of_gen_binom0]
IntegerProps.sum_of_gen_binom2 [lemma, in sum_of_gen_binom2]
_ %/c _ [notation, in ::x_'%/c'_x]
_ %|c _ [notation, in ::x_'%|c'_x]
_ %%c _ [notation, in ::x_'%%c'_x]
\10c [notation, in ::'\10c']
Intersection [module, in Intersection]
Intersection.disjoint [definition, in disjoint]
Intersection.disjointVeq [definition, in disjointVeq]
Intersection.disjointVeq_pr [lemma, in disjointVeq_pr]
Intersection.disjoint_subsets_P [lemma, in disjoint_subsets_P]
Intersection.disjoint_S [lemma, in disjoint_S]
Intersection.disjoint_pr [lemma, in disjoint_pr]
Intersection.intersection [definition, in intersection]
Intersection.intersection2 [definition, in intersection2]
Intersection.nondisjoint [lemma, in nondisjoint]
Intersection.properD [lemma, in properD]
Intersection.properI2 [lemma, in properI2]
Intersection.properI2_l [lemma, in properI2_l]
Intersection.properI2_r [lemma, in properI2_r]
Intersection.properI2_set [lemma, in properI2_set]
Intersection.properU2 [lemma, in properU2]
Intersection.properU2_l [lemma, in properU2_l]
Intersection.properU2_r [lemma, in properU2_r]
Intersection.setCC_l [lemma, in setCC_l]
Intersection.setCC_r [lemma, in setCC_r]
Intersection.setCId_Pl [lemma, in setCId_Pl]
Intersection.setCI2_l [lemma, in setCI2_l]
Intersection.setCI2_r [lemma, in setCI2_r]
Intersection.setCI2_pr1 [lemma, in setCI2_pr1]
Intersection.setCU2_l [lemma, in setCU2_l]
Intersection.setCU2_r [lemma, in setCU2_r]
Intersection.setC_ni [lemma, in setC_ni]
Intersection.setC1_proper [lemma, in setC1_proper]
Intersection.setC1_eq [lemma, in setC1_eq]
Intersection.setI_hi [lemma, in setI_hi]
Intersection.setI_s1 [lemma, in setI_s1]
Intersection.setI_0 [lemma, in setI_0]
Intersection.setI_1 [lemma, in setI_1]
Intersection.setI_i [lemma, in setI_i]
Intersection.setI2id_Pl [lemma, in setI2id_Pl]
Intersection.setI2id_Pr [lemma, in setI2id_Pr]
Intersection.setI2_12S [lemma, in setI2_12S]
Intersection.setI2_AC [lemma, in setI2_AC]
Intersection.setI2_CA [lemma, in setI2_CA]
Intersection.setI2_Cr [lemma, in setI2_Cr]
Intersection.setI2_S1 [lemma, in setI2_S1]
Intersection.setI2_S2 [lemma, in setI2_S2]
Intersection.setI2_SS [lemma, in setI2_SS]
Intersection.setI2_id [lemma, in setI2_id]
Intersection.setI2_ni [lemma, in setI2_ni]
Intersection.setI2_0 [lemma, in setI2_0]
Intersection.setI2_1 [lemma, in setI2_1]
Intersection.setI2_2 [lemma, in setI2_2]
Intersection.setI2_A [lemma, in setI2_A]
Intersection.setI2_C [lemma, in setI2_C]
Intersection.setI2_P [lemma, in setI2_P]
Intersection.setI2_i [lemma, in setI2_i]
Intersection.setPI [lemma, in setPI]
Intersection.setU2_ni [lemma, in setU2_ni]
Intersection.set_CC [lemma, in set_CC]
Intersection.set_I2K [lemma, in set_I2K]
Intersection.set_K2I [lemma, in set_K2I]
Intersection.set_K2U [lemma, in set_K2U]
Intersection.set_IC1r [lemma, in set_IC1r]
Intersection.set_IU2l [lemma, in set_IU2l]
Intersection.set_IU2r [lemma, in set_IU2r]
Intersection.set_I2Cr [lemma, in set_I2Cr]
Intersection.set_UI2l [lemma, in set_UI2l]
Intersection.set_UI2r [lemma, in set_UI2r]
Intersection.set_U2K [lemma, in set_U2K]
Intersection.set_CI2 [lemma, in set_CI2]
Intersection.set_CU2 [lemma, in set_CU2]
Intersection.set0_I2 [lemma, in set0_I2]
Intersection.set2_IIl [lemma, in set2_IIl]
Intersection.set2_IIr [lemma, in set2_IIr]
Intersection.subCset_P3 [lemma, in subCset_P3]
Intersection.subI2_set [lemma, in subI2_set]
Intersection.subsetC1_P [lemma, in subsetC1_P]
Intersection.subsetI2l [lemma, in subsetI2l]
Intersection.subsetI2r [lemma, in subsetI2r]
Intersection.subsetI2_P [lemma, in subsetI2_P]
Intersection.subsets_disjoint_P [lemma, in subsets_disjoint_P]
_ \cap _ [notation, in ::x_'\cap'_x]
intmul_inj [lemma, in intmul_inj]
L
Little [module, in Little]Little.alls [definition, in alls]
Little.C0 [definition, in C0]
Little.C1 [definition, in C1]
Little.C1_p1 [lemma, in C1_p1]
Little.C2 [definition, in C2]
Little.C2_P [lemma, in C2_P]
Little.doubleton [definition, in doubleton]
Little.doubletonp [definition, in doubletonp]
Little.doubleton_inj [lemma, in doubleton_inj]
Little.inc_C0_2 [lemma, in inc_C0_2]
Little.inc_C1_2 [lemma, in inc_C1_2]
Little.set1_pr1 [lemma, in set1_pr1]
Little.set1_eq [lemma, in set1_eq]
Little.set1_ne [lemma, in set1_ne]
Little.set1_pr [lemma, in set1_pr]
Little.set1_sub [lemma, in set1_sub]
Little.set1_1 [lemma, in set1_1]
Little.set1_P [lemma, in set1_P]
Little.set1_inj [lemma, in set1_inj]
Little.set2_hi [lemma, in set2_hi]
Little.set2_ne [lemma, in set2_ne]
Little.set2_pr [lemma, in set2_pr]
Little.set2_1 [lemma, in set2_1]
Little.set2_2 [lemma, in set2_2]
Little.set2_C [lemma, in set2_C]
Little.set2_P [lemma, in set2_P]
Little.singleton [definition, in singleton]
Little.singletonP [lemma, in singletonP]
Little.singletonp [definition, in singletonp]
Little.small_set_pr [lemma, in small_set_pr]
Little.small_set [definition, in small_set]
Little.small0 [lemma, in small0]
Little.small1 [lemma, in small1]
Little.subset1P [lemma, in subset1P]
Little.sub_set2 [lemma, in sub_set2]
Little.sub1setP [lemma, in sub1setP]
Little.TP_ne1 [lemma, in TP_ne1]
Little.TP_ne [lemma, in TP_ne]
ltn_add_el [lemma, in ltn_add_el]
ltn_add_le [lemma, in ltn_add_le]
ltn_add_ll [lemma, in ltn_add_ll]
ltn_simpl1 [lemma, in ltn_simpl1]
ltn_simpl2 [lemma, in ltn_simpl2]
lt_wf [lemma, in lt_wf]
M
monomial_eq [definition, in monomial_eq]monomial_le [definition, in monomial_le]
monomial_lt [definition, in monomial_lt]
mul_Sm_binm_1 [lemma, in mul_Sm_binm_1]
mul_Sm_binm_2 [lemma, in mul_Sm_binm_2]
mul_Sm_binm_r [lemma, in mul_Sm_binm_r]
N
nbsurj [definition, in nbsurj]nbsurjn0 [lemma, in nbsurjn0]
nbsurjS [lemma, in nbsurjS]
nbsurj_n1 [lemma, in nbsurj_n1]
nbsurj_n2 [lemma, in nbsurj_n2]
nbsurj_nn [lemma, in nbsurj_nn]
nbsurj_small [lemma, in nbsurj_small]
nbsurj_SSnn [lemma, in nbsurj_SSnn]
nbsurj_Snn [lemma, in nbsurj_Snn]
nbsurj0n [lemma, in nbsurj0n]
nbsurj00 [lemma, in nbsurj00]
neq_sym [lemma, in neq_sym]
not_decreasing [lemma, in not_decreasing]
NumberSums [module, in NumberSums]
NumberSums.Bnat_sup_pr [lemma, in Bnat_sup_pr]
NumberSums.Bp [definition, in Bp]
NumberSums.C [abbreviation, in C]
NumberSums.card_fun_image [lemma, in card_fun_image]
NumberSums.NdsNat [section, in NdsNat]
NumberSums.NdsNat.F [variable, in F]
NumberSums.NdsNat.Fr1 [variable, in Fr1]
NumberSums.NdsNat.Fr2 [variable, in Fr2]
NumberSums.NdsNat.F0 [variable, in F0]
NumberSums.NdsNat.F1 [variable, in F1]
NumberSums.ndsNC1 [lemma, in ndsNC1]
NumberSums.ndsNC2 [lemma, in ndsNC2]
NumberSums.ndsNC3 [lemma, in ndsNC3]
NumberSums.ndsNC4 [lemma, in ndsNC4]
NumberSums.ndsNC5 [lemma, in ndsNC5]
NumberSums.ndsNC6 [lemma, in ndsNC6]
NumberSums.ndsNC7 [lemma, in ndsNC7]
NumberSums.ndsnF2 [lemma, in ndsnF2]
NumberSums.ndsnF3 [lemma, in ndsnF3]
NumberSums.ndsnF4 [lemma, in ndsnF4]
NumberSums.ndsnF5 [lemma, in ndsnF5]
NumberSums.ndsnF6 [lemma, in ndsnF6]
NumberSums.ndsnF7 [lemma, in ndsnF7]
NumberSums.ndsnF8 [lemma, in ndsnF8]
NumberSums.ndsnF9 [lemma, in ndsnF9]
NumberSums.NdsStudy [section, in NdsStudy]
NumberSums.NdsStudy.e [variable, in e]
NumberSums.NdsStudy.fL [variable, in fL]
NumberSums.NdsStudy.k [variable, in k]
NumberSums.NdsStudy.kBp [variable, in kBp]
NumberSums.NdsStudy.kln [variable, in kln]
NumberSums.NdsStudy.n [variable, in n]
NumberSums.NdsStudy.nB [variable, in nB]
NumberSums.NdsStudy.pL [variable, in pL]
NumberSums.NdsStudy.pS [variable, in pS]
NumberSums.NdsStudy.rp [variable, in rp]
NumberSums.NdsStudy.X [variable, in X]
NumberSums.NdsStudy.Xax [variable, in Xax]
NumberSums.NdsStudy1 [section, in NdsStudy1]
NumberSums.NdsStudy1.ax [variable, in ax]
NumberSums.NdsStudy1.cc [variable, in cc]
NumberSums.NdsStudy1.ee [variable, in ee]
NumberSums.NdsStudy1.n [variable, in n]
NumberSums.NdsStudy1.nB [variable, in nB]
NumberSums.NdsStudy1.np [variable, in np]
NumberSums.NdsStudy1.rr [variable, in rr]
NumberSums.NdsStudy1.X [variable, in X]
NumberSums.ndstnC [definition, in ndstnC]
NumberSums.ndstnC_nat [definition, in ndstnC_nat]
NumberSums.ndstnC1 [lemma, in ndstnC1]
NumberSums.nds_FA [definition, in nds_FA]
NumberSums.nds_sc_exten [lemma, in nds_sc_exten]
NumberSums.nds_type_p1 [lemma, in nds_type_p1]
NumberSums.nds_type_p2 [lemma, in nds_type_p2]
NumberSums.nds_type_p3 [lemma, in nds_type_p3]
NumberSums.nds_type_p4 [lemma, in nds_type_p4]
NumberSums.nds_type_p5 [lemma, in nds_type_p5]
NumberSums.nds_type_p6 [lemma, in nds_type_p6]
NumberSums.nds_type_p7 [lemma, in nds_type_p7]
NumberSums.nds_type_p8 [lemma, in nds_type_p8]
NumberSums.nds_type_p9 [lemma, in nds_type_p9]
NumberSums.nds_ax [definition, in nds_ax]
NumberSums.nds_p1 [lemma, in nds_p1]
NumberSums.nds_p2 [lemma, in nds_p2]
NumberSums.nds_p3 [lemma, in nds_p3]
NumberSums.nds_q1 [lemma, in nds_q1]
NumberSums.nds_q2 [lemma, in nds_q2]
NumberSums.nds_q3 [lemma, in nds_q3]
NumberSums.nds_sums [definition, in nds_sums]
NumberSums.nds_r1 [lemma, in nds_r1]
NumberSums.nds_r2 [lemma, in nds_r2]
NumberSums.nds_s1 [lemma, in nds_s1]
NumberSums.nds_s2 [lemma, in nds_s2]
NumberSums.nds_s3 [lemma, in nds_s3]
NumberSums.nds_s4 [lemma, in nds_s4]
NumberSums.nds_s5 [lemma, in nds_s5]
NumberSums.nds_s6 [lemma, in nds_s6]
NumberSums.nds_sc [definition, in nds_sc]
NumberSums.nds_tg10 [lemma, in nds_tg10]
NumberSums.nds_tg11 [lemma, in nds_tg11]
NumberSums.nds_F [definition, in nds_F]
NumberSums.nds_a [lemma, in nds_a]
NumberSums.nds_b [lemma, in nds_b]
NumberSums.nds_c [lemma, in nds_c]
NumberSums.nds_d [lemma, in nds_d]
NumberSums.nds_e [lemma, in nds_e]
NumberSums.nds_f [lemma, in nds_f]
NumberSums.nds_g [lemma, in nds_g]
NumberSums.nds_h [lemma, in nds_h]
NumberSums.nds_j [lemma, in nds_j]
NumberSums.nds_k [lemma, in nds_k]
NumberSums.nds_l [lemma, in nds_l]
NumberSums.nds_m [lemma, in nds_m]
NumberSums.nds_n [lemma, in nds_n]
NumberSums.nds_o [lemma, in nds_o]
NumberSums.nds_type_p9_aux [lemma, in nds_type_p9_aux]
NumberSums.nds_tn_C_exten [lemma, in nds_tn_C_exten]
NumberSums.nds_type_p10 [lemma, in nds_type_p10]
NumberSums.nds_type_p11 [lemma, in nds_type_p11]
NumberSums.nds_type [definition, in nds_type]
NumberSums.nds_tg0 [lemma, in nds_tg0]
NumberSums.nds_tg1 [lemma, in nds_tg1]
NumberSums.nds_tg2 [lemma, in nds_tg2]
NumberSums.nds_tg3 [lemma, in nds_tg3]
NumberSums.nds_tg4 [lemma, in nds_tg4]
NumberSums.nds_tg5 [lemma, in nds_tg5]
NumberSums.nds_tg6 [lemma, in nds_tg6]
NumberSums.nds_tg7 [lemma, in nds_tg7]
NumberSums.nds_tg8 [lemma, in nds_tg8]
NumberSums.nds_tg9 [lemma, in nds_tg9]
NumberSums.nds_card [definition, in nds_card]
NumberSums.nds_tn1 [lemma, in nds_tn1]
NumberSums.nds_tn2 [lemma, in nds_tn2]
NumberSums.nds_tn3 [lemma, in nds_tn3]
NumberSums.nds_tn4 [lemma, in nds_tn4]
NumberSums.nds_tn5 [lemma, in nds_tn5]
NumberSums.nds_tn6 [lemma, in nds_tn6]
NumberSums.nds_tn7 [lemma, in nds_tn7]
NumberSums.nds_tn8 [lemma, in nds_tn8]
NumberSums.nds_tn9 [lemma, in nds_tn9]
NumberSums.nds_type_nor [definition, in nds_type_nor]
NumberSums.nds_tn_sup [definition, in nds_tn_sup]
NumberSums.nds_tn11_ex [lemma, in nds_tn11_ex]
NumberSums.nds_tn10 [lemma, in nds_tn10]
NumberSums.nds_tn11 [lemma, in nds_tn11]
NumberSums.nds_tn12 [lemma, in nds_tn12]
NumberSums.nds_tn13 [lemma, in nds_tn13]
NumberSums.nds_FA_ex [lemma, in nds_FA_ex]
NumberSums.nds_card_exten [lemma, in nds_card_exten]
NumberSums.nds_tn_C [definition, in nds_tn_C]
NumberSums.nds_tn_S [definition, in nds_tn_S]
NumberSums.nds_tn_ax [definition, in nds_tn_ax]
NumberSums.nds_type' [definition, in nds_type']
NumberSums.nds_type0 [definition, in nds_type0]
NumberSums.nds_type9 [lemma, in nds_type9]
NumberSums.nth_elts_succ [lemma, in nth_elts_succ]
NumberSums.nth_set0 [lemma, in nth_set0]
NumberSums.nth_set1 [lemma, in nth_set1]
NumberSums.nth_set2 [lemma, in nth_set2]
NumberSums.nth_set3 [lemma, in nth_set3]
NumberSums.nth_set4 [lemma, in nth_set4]
NumberSums.nth_set5 [lemma, in nth_set5]
NumberSums.nth_set6 [lemma, in nth_set6]
NumberSums.nth_set7 [lemma, in nth_set7]
NumberSums.nth_set8 [lemma, in nth_set8]
NumberSums.nth_set9 [lemma, in nth_set9]
NumberSums.nth_set_10 [lemma, in nth_set_10]
NumberSums.nth_more [definition, in nth_more]
NumberSums.nth_elts [definition, in nth_elts]
NumberSums.nth_set_fct_bf [lemma, in nth_set_fct_bf]
NumberSums.nth_elts0 [lemma, in nth_elts0]
NumberSums.nth_set_fct [definition, in nth_set_fct]
NumberSums.nth_set11 [lemma, in nth_set11]
NumberSums.nth_elt [definition, in nth_elt]
NumberSums.nth_set_M [lemma, in nth_set_M]
NumberSums.omega_monom_inj [lemma, in omega_monom_inj]
NumberSums.pair_lt [definition, in pair_lt]
NumberSums.permutation_exists1 [lemma, in permutation_exists1]
NumberSums.permutation_exists2 [lemma, in permutation_exists2]
NumberSums.perm_int_inj [lemma, in perm_int_inj]
NumberSums.perm_int_inv [lemma, in perm_int_inv]
NumberSums.perm_int_id [lemma, in perm_int_id]
NumberSums.perm_int_surj [lemma, in perm_int_surj]
NumberSums.perm_int_comp [lemma, in perm_int_comp]
NumberSums.perm_int [definition, in perm_int]
NumberSums.perm_intP [lemma, in perm_intP]
NumberSums.R1 [lemma, in R1]
NumberSums.segment_nat [definition, in segment_nat]
NumberSums.sumpow2 [definition, in sumpow2]
NumberSums.sumpow2_a [lemma, in sumpow2_a]
NumberSums.sumpow2_b [lemma, in sumpow2_b]
NumberSums.sumpow2_c [lemma, in sumpow2_c]
NumberSums.sumpow2_d [lemma, in sumpow2_d]
NumberSums.sumpow2_e [lemma, in sumpow2_e]
NumberSums.sumpow2_f [lemma, in sumpow2_f]
NumberSums.sumpow2_g [lemma, in sumpow2_g]
NumberSums.the_CNF_omega_kj [lemma, in the_CNF_omega_kj]
NumberSums.the_CNF_omega_k [lemma, in the_CNF_omega_k]
NumberSums.transposition_prop [lemma, in transposition_prop]
n1bin [lemma, in n1bin]
n2bin [lemma, in n2bin]
n2bin' [lemma, in n2bin']
n3bin [lemma, in n3bin]
n4bin [lemma, in n4bin]
n4bin' [lemma, in n4bin']
n5bin [lemma, in n5bin]
n6bin [lemma, in n6bin]
n6bin' [lemma, in n6bin']
O
OrderType [module, in OrderType]OrderType.is_order_type [definition, in is_order_type]
OrderType.oprod_increasing1 [lemma, in oprod_increasing1]
OrderType.oprod_increasing2 [lemma, in oprod_increasing2]
OrderType.oprod_increasing3 [lemma, in oprod_increasing3]
OrderType.oprod_increasing4 [lemma, in oprod_increasing4]
OrderType.oprod_assoc2 [lemma, in oprod_assoc2]
OrderType.oprod0l' [lemma, in oprod0l']
OrderType.oprod0r' [lemma, in oprod0r']
OrderType.order_le_alt3P [lemma, in order_le_alt3P]
OrderType.order_le_alt4 [lemma, in order_le_alt4]
OrderType.order_le_transitive [lemma, in order_le_transitive]
OrderType.order_type [axiom, in order_type]
OrderType.order_type_unique [axiom, in order_type_unique]
OrderType.order_type_le [definition, in order_type_le]
OrderType.order_type_fam [definition, in order_type_fam]
OrderType.order_type_exists [axiom, in order_type_exists]
OrderType.osum_assoc2 [lemma, in osum_assoc2]
OrderType.osum_distributive [lemma, in osum_distributive]
OrderType.osum_increasing1 [lemma, in osum_increasing1]
OrderType.osum_increasing2 [lemma, in osum_increasing2]
OrderType.osum_increasing3 [lemma, in osum_increasing3]
OrderType.osum_increasing4 [lemma, in osum_increasing4]
OrderType.OTorder_le_compat1 [lemma, in OTorder_le_compat1]
OrderType.OTorder_le_compat2 [lemma, in OTorder_le_compat2]
OrderType.OTorder_le_compatP [lemma, in OTorder_le_compatP]
OrderType.OTorder_le_alt2P [lemma, in OTorder_le_alt2P]
OrderType.OTorder_le_altP [lemma, in OTorder_le_altP]
OrderType.OT_opposite1 [lemma, in OT_opposite1]
OrderType.OT_opposite2 [lemma, in OT_opposite2]
OrderType.OT_ordinal_compat [lemma, in OT_ordinal_compat]
OrderType.OT_double_opposite [lemma, in OT_double_opposite]
OrderType.OT_sum2_pr [lemma, in OT_sum2_pr]
OrderType.OT_sum2_ordertype [lemma, in OT_sum2_ordertype]
OrderType.OT_opposite_sum [lemma, in OT_opposite_sum]
OrderType.OT_prod2 [definition, in OT_prod2]
OrderType.OT_prop0 [lemma, in OT_prop0]
OrderType.OT_prop1 [lemma, in OT_prop1]
OrderType.OT_prop2 [lemma, in OT_prop2]
OrderType.OT_prop3 [lemma, in OT_prop3]
OrderType.OT_prop4 [lemma, in OT_prop4]
OrderType.OT_prod [definition, in OT_prod]
OrderType.OT_opposite [definition, in OT_opposite]
OrderType.OT_prod_assoc1 [lemma, in OT_prod_assoc1]
OrderType.OT_prod_assoc3 [lemma, in OT_prod_assoc3]
OrderType.OT_sum_increasing2 [lemma, in OT_sum_increasing2]
OrderType.OT_sum_increasing4 [lemma, in OT_sum_increasing4]
OrderType.OT_sum_assoc1 [lemma, in OT_sum_assoc1]
OrderType.OT_sum_assoc3 [lemma, in OT_sum_assoc3]
OrderType.OT_sum [definition, in OT_sum]
OrderType.OT_prod_ordertype [lemma, in OT_prod_ordertype]
OrderType.OT_prod2_pr [lemma, in OT_prod2_pr]
OrderType.OT_prod_invariant3 [lemma, in OT_prod_invariant3]
OrderType.OT_prod_invariant5 [lemma, in OT_prod_invariant5]
OrderType.OT_sum_distributive3 [lemma, in OT_sum_distributive3]
OrderType.OT_order_le_transitive [lemma, in OT_order_le_transitive]
OrderType.OT_sum2 [definition, in OT_sum2]
OrderType.OT_order_le_reflexive [lemma, in OT_order_le_reflexive]
OrderType.OT_prod_increasing2 [lemma, in OT_prod_increasing2]
OrderType.OT_prod_increasing4 [lemma, in OT_prod_increasing4]
OrderType.OT_prod_pr1 [lemma, in OT_prod_pr1]
OrderType.OT_sum_ordertype [lemma, in OT_sum_ordertype]
OrderType.OT_sum_invariant3 [lemma, in OT_sum_invariant3]
OrderType.OT_sum_invariant5 [lemma, in OT_sum_invariant5]
OrderType.OT_prod2_ordertype [lemma, in OT_prod2_ordertype]
_ <=t _ [notation, in ::x_'<=t'_x]
_ +t _ [notation, in ::x_'+t'_x]
_ <=O _ [notation, in ::x_'<=O'_x]
_ *t _ [notation, in ::x_'*t'_x]
OrdinalAdd [module, in OrdinalAdd]
Ordinals1 [module, in Ordinals1]
Ordinals1.aleph_one [definition, in aleph_one]
Ordinals1.aleph_oneP [lemma, in aleph_oneP]
Ordinals1.cardinal_omega2 [lemma, in cardinal_omega2]
Ordinals1.cardinal_of_ordinal [lemma, in cardinal_of_ordinal]
Ordinals1.cardinal_Bnat [lemma, in cardinal_Bnat]
Ordinals1.card_lt_sup [lemma, in card_lt_sup]
Ordinals1.clt_omegaP [lemma, in clt_omegaP]
Ordinals1.countable_ordinal_sup [lemma, in countable_ordinal_sup]
Ordinals1.countable_succ [lemma, in countable_succ]
Ordinals1.countable_ordinal [definition, in countable_ordinal]
Ordinals1.countable_leomega [lemma, in countable_leomega]
Ordinals1.countable_one [lemma, in countable_one]
Ordinals1.finite_ordinal1 [lemma, in finite_ordinal1]
Ordinals1.finite_ordinal2 [lemma, in finite_ordinal2]
Ordinals1.InfiniteNormal [section, in InfiniteNormal]
Ordinals1.InfiniteNormal.C [variable, in C]
Ordinals1.InfiniteNormal.E [variable, in E]
Ordinals1.InfiniteNormal.iC [variable, in iC]
Ordinals1.limit_nz [lemma, in limit_nz]
Ordinals1.limit_positive [lemma, in limit_positive]
Ordinals1.mutually_cofinal [definition, in mutually_cofinal]
Ordinals1.oadd1_fix [lemma, in oadd1_fix]
Ordinals1.odiff_pr1_wrong [lemma, in odiff_pr1_wrong]
Ordinals1.odiff_1inf [lemma, in odiff_1inf]
Ordinals1.odiff_wrong [lemma, in odiff_wrong]
Ordinals1.odiff_Mle [lemma, in odiff_Mle]
Ordinals1.odiff_pr1 [lemma, in odiff_pr1]
Ordinals1.odiff_pr2 [lemma, in odiff_pr2]
Ordinals1.odiff_pos [lemma, in odiff_pos]
Ordinals1.odiff_pr [lemma, in odiff_pr]
Ordinals1.odivision_exists [lemma, in odivision_exists]
Ordinals1.odivision_exists1 [lemma, in odivision_exists1]
Ordinals1.odivision_unique [lemma, in odivision_unique]
Ordinals1.olt_omegaP [lemma, in olt_omegaP]
Ordinals1.omega_nz [lemma, in omega_nz]
Ordinals1.oprec_Mlt [lemma, in oprec_Mlt]
Ordinals1.oprec_nat2 [lemma, in oprec_nat2]
Ordinals1.oprec_nat [lemma, in oprec_nat]
Ordinals1.oprodA [lemma, in oprodA]
Ordinals1.oprod_expansion [definition, in oprod_expansion]
Ordinals1.oprod_Mlteqr [lemma, in oprod_Mlteqr]
Ordinals1.oprod_Mle1 [lemma, in oprod_Mle1]
Ordinals1.oprod_a_ab [lemma, in oprod_a_ab]
Ordinals1.oprod_pr1 [lemma, in oprod_pr1]
Ordinals1.oprod_Meq1lt [lemma, in oprod_Meq1lt]
Ordinals1.oprod_set0 [lemma, in oprod_set0]
Ordinals1.oprod_set1 [lemma, in oprod_set1]
Ordinals1.oprod_expansion_exten [lemma, in oprod_expansion_exten]
Ordinals1.oprod_unit1 [lemma, in oprod_unit1]
Ordinals1.oprod_unit2 [lemma, in oprod_unit2]
Ordinals1.oprod_int_omega [lemma, in oprod_int_omega]
Ordinals1.oprod_expansion_succ [lemma, in oprod_expansion_succ]
Ordinals1.oprod_Meqler [lemma, in oprod_Meqler]
Ordinals1.oprod_expansion0 [lemma, in oprod_expansion0]
Ordinals1.oprod_expansion1 [lemma, in oprod_expansion1]
Ordinals1.oprod_expansionA [lemma, in oprod_expansionA]
Ordinals1.oprod_Meqltr [lemma, in oprod_Meqltr]
Ordinals1.oprod_M1le [lemma, in oprod_M1le]
Ordinals1.oprod_Mleeq [lemma, in oprod_Mleeq]
Ordinals1.oprod_Mlele [lemma, in oprod_Mlele]
Ordinals1.oprod_Meqle [lemma, in oprod_Meqle]
Ordinals1.oprod_Meqlt [lemma, in oprod_Meqlt]
Ordinals1.oprod_cardinal [lemma, in oprod_cardinal]
Ordinals1.oprod_assoc1 [lemma, in oprod_assoc1]
Ordinals1.oprod_rec_def [lemma, in oprod_rec_def]
Ordinals1.oprod_zero [lemma, in oprod_zero]
Ordinals1.oprod0l [lemma, in oprod0l]
Ordinals1.oprod0r [lemma, in oprod0r]
Ordinals1.oprod1l [lemma, in oprod1l]
Ordinals1.oprod1r [lemma, in oprod1r]
Ordinals1.oprod2_simpl [lemma, in oprod2_simpl]
Ordinals1.oprod2_nc [lemma, in oprod2_nc]
Ordinals1.oprod2_nz [lemma, in oprod2_nz]
Ordinals1.oprod2_rw [lemma, in oprod2_rw]
Ordinals1.oprod2_simpl1 [lemma, in oprod2_simpl1]
Ordinals1.oprod2_two [lemma, in oprod2_two]
Ordinals1.oprod2_succ [lemma, in oprod2_succ]
Ordinals1.oprod2_2int [lemma, in oprod2_2int]
Ordinals1.oprod2_countable [lemma, in oprod2_countable]
Ordinals1.oprod2_one [lemma, in oprod2_one]
Ordinals1.oprod2_lt_omega [lemma, in oprod2_lt_omega]
Ordinals1.oprod2_pos [lemma, in oprod2_pos]
Ordinals1.oquorem [definition, in oquorem]
Ordinals1.oquoremP [lemma, in oquoremP]
Ordinals1.oquoremP2 [lemma, in oquoremP2]
Ordinals1.order_prod_pr [lemma, in order_prod_pr]
Ordinals1.ordinal_o_set0 [lemma, in ordinal_o_set0]
Ordinals1.ordinal0_pr [lemma, in ordinal0_pr]
Ordinals1.ordinal0_pr1 [lemma, in ordinal0_pr1]
Ordinals1.ordinal0_pr2 [lemma, in ordinal0_pr2]
Ordinals1.ordinal1_pr [lemma, in ordinal1_pr]
Ordinals1.ord_prod [definition, in ord_prod]
Ordinals1.ord_sup_sub [lemma, in ord_sup_sub]
Ordinals1.ord_succ_pr [lemma, in ord_succ_pr]
Ordinals1.ord_below_n [definition, in ord_below_n]
Ordinals1.ord_double [lemma, in ord_double]
Ordinals1.ord_lt_2omega [lemma, in ord_lt_2omega]
Ordinals1.ord_lt0_succ [lemma, in ord_lt0_succ]
Ordinals1.ord_sup_2funI [lemma, in ord_sup_2funI]
Ordinals1.ord_cofinal_p1 [lemma, in ord_cofinal_p1]
Ordinals1.ord_cofinal_p2 [lemma, in ord_cofinal_p2]
Ordinals1.ord_cofinal_p3 [lemma, in ord_cofinal_p3]
Ordinals1.ord_cofinal_p4 [lemma, in ord_cofinal_p4]
Ordinals1.ord_cofinal_p5 [lemma, in ord_cofinal_p5]
Ordinals1.ord_lt_1omega [lemma, in ord_lt_1omega]
Ordinals1.ord_sup_M [lemma, in ord_sup_M]
Ordinals1.ord_diff [definition, in ord_diff]
Ordinals1.ord_omega_pr [lemma, in ord_omega_pr]
Ordinals1.ord_sup_1cofinal [lemma, in ord_sup_1cofinal]
Ordinals1.ord_lt_0omega [lemma, in ord_lt_0omega]
Ordinals1.ord_sum2 [definition, in ord_sum2]
Ordinals1.ord_le_2omega [lemma, in ord_le_2omega]
Ordinals1.ord_lt_01 [lemma, in ord_lt_01]
Ordinals1.ord_lt_02 [lemma, in ord_lt_02]
Ordinals1.ord_lt_12 [lemma, in ord_lt_12]
Ordinals1.ord_prod2 [definition, in ord_prod2]
Ordinals1.ord_div_pr0 [definition, in ord_div_pr0]
Ordinals1.ord_div_pr1 [definition, in ord_div_pr1]
Ordinals1.ord_sup_ordinal [lemma, in ord_sup_ordinal]
Ordinals1.ord_lt_sup [lemma, in ord_lt_sup]
Ordinals1.ord_sup_inVlimit [lemma, in ord_sup_inVlimit]
Ordinals1.ord_le_ltT_s [lemma, in ord_le_ltT_s]
Ordinals1.ord_sum [definition, in ord_sum]
Ordinals1.ord_ub_sup1 [lemma, in ord_ub_sup1]
Ordinals1.ord_cofinal [definition, in ord_cofinal]
Ordinals1.ord_sup_2cofinal [lemma, in ord_sup_2cofinal]
Ordinals1.ord2_trichotomy1 [lemma, in ord2_trichotomy1]
Ordinals1.ord2_trichotomy [lemma, in ord2_trichotomy]
Ordinals1.ord2_lt_P [lemma, in ord2_lt_P]
Ordinals1.orprod_invariant1 [lemma, in orprod_invariant1]
Ordinals1.orprod_invariant2 [lemma, in orprod_invariant2]
Ordinals1.orprod_invariant3 [lemma, in orprod_invariant3]
Ordinals1.orprod_invariant4 [lemma, in orprod_invariant4]
Ordinals1.orprod_invariant5 [lemma, in orprod_invariant5]
Ordinals1.orprod_assoc_iso [lemma, in orprod_assoc_iso]
Ordinals1.orprod_wor [lemma, in orprod_wor]
Ordinals1.orprod2_wor [lemma, in orprod2_wor]
Ordinals1.orsum_assoc_iso [lemma, in orsum_assoc_iso]
Ordinals1.orsum_invariant1 [lemma, in orsum_invariant1]
Ordinals1.orsum_invariant2 [lemma, in orsum_invariant2]
Ordinals1.orsum_invariant3 [lemma, in orsum_invariant3]
Ordinals1.orsum_invariant4 [lemma, in orsum_invariant4]
Ordinals1.orsum_invariant5 [lemma, in orsum_invariant5]
Ordinals1.orsum2_wor [lemma, in orsum2_wor]
Ordinals1.osumA [lemma, in osumA]
Ordinals1.osum_prodD [lemma, in osum_prodD]
Ordinals1.osum_Mle0 [lemma, in osum_Mle0]
Ordinals1.osum_a_ab [lemma, in osum_a_ab]
Ordinals1.osum_Meqler [lemma, in osum_Meqler]
Ordinals1.osum_set0 [lemma, in osum_set0]
Ordinals1.osum_set1 [lemma, in osum_set1]
Ordinals1.osum_rec_def [lemma, in osum_rec_def]
Ordinals1.osum_expansion0 [lemma, in osum_expansion0]
Ordinals1.osum_expansion1 [lemma, in osum_expansion1]
Ordinals1.osum_expansionA [lemma, in osum_expansionA]
Ordinals1.osum_unit1 [lemma, in osum_unit1]
Ordinals1.osum_unit2 [lemma, in osum_unit2]
Ordinals1.osum_1inf [lemma, in osum_1inf]
Ordinals1.osum_Meqltr [lemma, in osum_Meqltr]
Ordinals1.osum_expansion [definition, in osum_expansion]
Ordinals1.osum_x_xy [lemma, in osum_x_xy]
Ordinals1.osum_expansion_succ [lemma, in osum_expansion_succ]
Ordinals1.osum_assoc1 [lemma, in osum_assoc1]
Ordinals1.osum_Mleeq [lemma, in osum_Mleeq]
Ordinals1.osum_Mlele [lemma, in osum_Mlele]
Ordinals1.osum_Meqle [lemma, in osum_Meqle]
Ordinals1.osum_Meqlt [lemma, in osum_Meqlt]
Ordinals1.osum_M0le [lemma, in osum_M0le]
Ordinals1.osum_Mlteqr [lemma, in osum_Mlteqr]
Ordinals1.osum_cardinal [lemma, in osum_cardinal]
Ordinals1.osum_expansion_exten [lemma, in osum_expansion_exten]
Ordinals1.osum_int_omega [lemma, in osum_int_omega]
Ordinals1.osum_11_2 [lemma, in osum_11_2]
Ordinals1.osum0l [lemma, in osum0l]
Ordinals1.osum0r [lemma, in osum0r]
Ordinals1.osum2_2int [lemma, in osum2_2int]
Ordinals1.osum2_countable [lemma, in osum2_countable]
Ordinals1.osum2_simpl [lemma, in osum2_simpl]
Ordinals1.osum2_nD [lemma, in osum2_nD]
Ordinals1.osum2_nc [lemma, in osum2_nc]
Ordinals1.osum2_rw [lemma, in osum2_rw]
Ordinals1.osum2_zero [lemma, in osum2_zero]
Ordinals1.osum2_lt_omega [lemma, in osum2_lt_omega]
Ordinals1.osum2_succ [lemma, in osum2_succ]
Ordinals1.OS_sum2 [lemma, in OS_sum2]
Ordinals1.OS_prod2 [lemma, in OS_prod2]
Ordinals1.OS_osum_expansion [lemma, in OS_osum_expansion]
Ordinals1.OS_prod [lemma, in OS_prod]
Ordinals1.OS_sum [lemma, in OS_sum]
Ordinals1.OS_diff [lemma, in OS_diff]
Ordinals1.OS_oprod_expansion [lemma, in OS_oprod_expansion]
Ordinals1.same_below [definition, in same_below]
Ordinals1.set_ord_lt_prop3 [lemma, in set_ord_lt_prop3]
Ordinals1.set_ord_lt_prop3a [lemma, in set_ord_lt_prop3a]
Ordinals1.set1_ordinal [lemma, in set1_ordinal]
Ordinals1.sincr_bounded_unique [lemma, in sincr_bounded_unique]
Ordinals1.sincr_ofs [definition, in sincr_ofs]
Ordinals1.succo_nz [lemma, in succo_nz]
Ordinals1.succ_c_prod [lemma, in succ_c_prod]
Ordinals1.succ_c_pred_more [lemma, in succ_c_pred_more]
Ordinals1.succ_c_leomega [lemma, in succ_c_leomega]
Ordinals1.succ_c_zero [lemma, in succ_c_zero]
Ordinals1.succ_c_succ [lemma, in succ_c_succ]
Ordinals1.succ_c_sum [lemma, in succ_c_sum]
Ordinals1.succ_c_sup [lemma, in succ_c_sup]
Ordinals1.succ_c_pred [lemma, in succ_c_pred]
_ +o _ [notation, in ::x_'+o'_x]
_ *o _ [notation, in ::x_'*o'_x]
_ -o _ [notation, in ::x_'-o'_x]
Ordinals2 [module, in Ordinals2]
Ordinals2.add_fix_enumeration [lemma, in add_fix_enumeration]
Ordinals2.add1_fix_enumeration [lemma, in add1_fix_enumeration]
Ordinals2.All_derivatives.b [variable, in b]
Ordinals2.All_derivatives.f [variable, in f]
Ordinals2.All_derivatives.g [variable, in g]
Ordinals2.all_der_p10 [lemma, in all_der_p10]
Ordinals2.all_der_p11 [lemma, in all_der_p11]
Ordinals2.all_der_p12 [lemma, in all_der_p12]
Ordinals2.all_der_p13 [lemma, in all_der_p13]
Ordinals2.all_der_p14 [lemma, in all_der_p14]
Ordinals2.all_der_p5' [lemma, in all_der_p5']
Ordinals2.All_derivatives.bf [variable, in bf]
Ordinals2.all_der_bound [definition, in all_der_bound]
Ordinals2.All_derivatives.nf [variable, in nf]
Ordinals2.all_der_p10' [lemma, in all_der_p10']
Ordinals2.All_derivatives [section, in All_derivatives]
Ordinals2.all_der_bound_prop2 [lemma, in all_der_bound_prop2]
Ordinals2.all_der [definition, in all_der]
Ordinals2.all_der_unique [lemma, in all_der_unique]
Ordinals2.all_der_aux [definition, in all_der_aux]
Ordinals2.all_der_p5'' [lemma, in all_der_p5'']
Ordinals2.all_der_bound_prop [lemma, in all_der_bound_prop]
Ordinals2.all_der_p13_bis [lemma, in all_der_p13_bis]
Ordinals2.all_der_p13_ter [lemma, in all_der_p13_ter]
Ordinals2.all_der_p12_bis [lemma, in all_der_p12_bis]
Ordinals2.all_der_p1 [lemma, in all_der_p1]
Ordinals2.all_der_p2 [lemma, in all_der_p2]
Ordinals2.all_der_p3 [lemma, in all_der_p3]
Ordinals2.all_der_p4 [lemma, in all_der_p4]
Ordinals2.all_der_p5 [lemma, in all_der_p5]
Ordinals2.all_der_p6 [lemma, in all_der_p6]
Ordinals2.all_der_p7 [lemma, in all_der_p7]
Ordinals2.all_der_p8 [lemma, in all_der_p8]
Ordinals2.all_der_p9 [lemma, in all_der_p9]
Ordinals2.big_ofs [lemma, in big_ofs]
Ordinals2.cardinal_indecomposable1 [lemma, in cardinal_indecomposable1]
Ordinals2.cardinal_indecomposable [lemma, in cardinal_indecomposable]
Ordinals2.card_max [definition, in card_max]
Ordinals2.closed_cofinal_inter [lemma, in closed_cofinal_inter]
Ordinals2.collectivising_srel_ord [lemma, in collectivising_srel_ord]
Ordinals2.collectivising_srel_ord_seg [lemma, in collectivising_srel_ord_seg]
Ordinals2.collectivising_srel [definition, in collectivising_srel]
Ordinals2.cont_ofn [definition, in cont_ofn]
Ordinals2.critical_indecomposable [lemma, in critical_indecomposable]
Ordinals2.critical_ordinal [definition, in critical_ordinal]
Ordinals2.critical_limit [lemma, in critical_limit]
Ordinals2.first_derivation_p [lemma, in first_derivation_p]
Ordinals2.first_derivation [definition, in first_derivation]
Ordinals2.first_derivation_p0 [lemma, in first_derivation_p0]
Ordinals2.first_derivation_p1 [lemma, in first_derivation_p1]
Ordinals2.first_derivation_p2 [lemma, in first_derivation_p2]
Ordinals2.first_derivation_p3 [lemma, in first_derivation_p3]
Ordinals2.first_derivation_p4 [lemma, in first_derivation_p4]
Ordinals2.first_derivation_exten [lemma, in first_derivation_exten]
Ordinals2.fixpoints [definition, in fixpoints]
Ordinals2.iclosed_fixpoints [lemma, in iclosed_fixpoints]
Ordinals2.iclosed_normal_ofs [lemma, in iclosed_normal_ofs]
Ordinals2.iclosed_col_f0 [lemma, in iclosed_col_f0]
Ordinals2.iclosed_col_fs [lemma, in iclosed_col_fs]
Ordinals2.iclosed_collection [definition, in iclosed_collection]
Ordinals2.iclosed_lim [lemma, in iclosed_lim]
Ordinals2.iclosed_normal_ofs1 [lemma, in iclosed_normal_ofs1]
Ordinals2.iclosed_ord [lemma, in iclosed_ord]
Ordinals2.iclosed_nonlim [lemma, in iclosed_nonlim]
Ordinals2.iclosed_normal_fun [lemma, in iclosed_normal_fun]
Ordinals2.iclosed_set [definition, in iclosed_set]
Ordinals2.iclosed_fixpoints_fun [lemma, in iclosed_fixpoints_fun]
Ordinals2.indecompP [lemma, in indecompP]
Ordinals2.indecomp_omega [lemma, in indecomp_omega]
Ordinals2.indecomp_sup [lemma, in indecomp_sup]
Ordinals2.indecomp_div [lemma, in indecomp_div]
Ordinals2.indecomp_sup1 [lemma, in indecomp_sup1]
Ordinals2.indecomp_closed_noncoll [lemma, in indecomp_closed_noncoll]
Ordinals2.indecomp_limit2 [lemma, in indecomp_limit2]
Ordinals2.indecomp_example [lemma, in indecomp_example]
Ordinals2.indecomp_enum [lemma, in indecomp_enum]
Ordinals2.indecomp_pr [lemma, in indecomp_pr]
Ordinals2.indecomp_limit [lemma, in indecomp_limit]
Ordinals2.indecomp_one [lemma, in indecomp_one]
Ordinals2.indecomp_prod2 [lemma, in indecomp_prod2]
Ordinals2.indecomp_prod3 [lemma, in indecomp_prod3]
Ordinals2.indecomp_prodP [lemma, in indecomp_prodP]
Ordinals2.indecomp_prop1 [lemma, in indecomp_prop1]
Ordinals2.indecomp_prop2 [lemma, in indecomp_prop2]
Ordinals2.indecomp_prop3 [lemma, in indecomp_prop3]
Ordinals2.indecomp_prop4 [lemma, in indecomp_prop4]
Ordinals2.indecomp_omega1 [lemma, in indecomp_omega1]
Ordinals2.is_critical_pr [lemma, in is_critical_pr]
Ordinals2.least_fixedpoint_ge [definition, in least_fixedpoint_ge]
Ordinals2.least_ordinal5 [lemma, in least_ordinal5]
Ordinals2.limit_ordinal_P4 [lemma, in limit_ordinal_P4]
Ordinals2.limit_infinite1 [lemma, in limit_infinite1]
Ordinals2.many_der_ex [lemma, in many_der_ex]
Ordinals2.many_der_unique [lemma, in many_der_unique]
Ordinals2.many_der_aux [definition, in many_der_aux]
Ordinals2.many_der [definition, in many_der]
Ordinals2.mult_fix_enumeration [lemma, in mult_fix_enumeration]
Ordinals2.next_fix_point_small1 [lemma, in next_fix_point_small1]
Ordinals2.next_fix_point_small [lemma, in next_fix_point_small]
Ordinals2.non_succ_ord_enum [lemma, in non_succ_ord_enum]
Ordinals2.non_coll [definition, in non_coll]
Ordinals2.non_zero_ord_enum [lemma, in non_zero_ord_enum]
Ordinals2.normal_ofs1 [definition, in normal_ofs1]
Ordinals2.normal_ofs2 [definition, in normal_ofs2]
Ordinals2.normal_ofs_compose [lemma, in normal_ofs_compose]
Ordinals2.normal_function_fix [lemma, in normal_function_fix]
Ordinals2.normal_ofs_limit [lemma, in normal_ofs_limit]
Ordinals2.normal_ofs_from_exten [lemma, in normal_ofs_from_exten]
Ordinals2.normal_shift [lemma, in normal_shift]
Ordinals2.normal_function [definition, in normal_function]
Ordinals2.normal_ofs_fix1 [lemma, in normal_ofs_fix1]
Ordinals2.normal_ofs_uniqueness [lemma, in normal_ofs_uniqueness]
Ordinals2.normal_ofs_bounded [lemma, in normal_ofs_bounded]
Ordinals2.normal_ofs_limit1 [lemma, in normal_ofs_limit1]
Ordinals2.normal_ofs_equiv1 [lemma, in normal_ofs_equiv1]
Ordinals2.normal_ofs_equiv2 [lemma, in normal_ofs_equiv2]
Ordinals2.normal_ofs_compose1 [lemma, in normal_ofs_compose1]
Ordinals2.normal_function_equiv [lemma, in normal_function_equiv]
Ordinals2.normal_ofs_restriction [lemma, in normal_ofs_restriction]
Ordinals2.normal_ofs_uniqueness1 [lemma, in normal_ofs_uniqueness1]
Ordinals2.normal_ofs [definition, in normal_ofs]
Ordinals2.normal_fn_unbounded [lemma, in normal_fn_unbounded]
Ordinals2.normal_function_incr [lemma, in normal_function_incr]
Ordinals2.normal_ofs_existence [lemma, in normal_ofs_existence]
Ordinals2.normal_fix_points_similara [lemma, in normal_fix_points_similara]
Ordinals2.normal_fix_points_similarb [lemma, in normal_fix_points_similarb]
Ordinals2.normal_ofs_equiv [lemma, in normal_ofs_equiv]
Ordinals2.normal_fix_cofinal [lemma, in normal_fix_cofinal]
Ordinals2.normal_ofs_fix [lemma, in normal_ofs_fix]
Ordinals2.odiff_normal [lemma, in odiff_normal]
Ordinals2.ofs [definition, in ofs]
Ordinals2.ofsu [definition, in ofsu]
Ordinals2.ofs_add_restr [lemma, in ofs_add_restr]
Ordinals2.ofs_mul_restr [lemma, in ofs_mul_restr]
Ordinals2.ofs_sincr [lemma, in ofs_sincr]
Ordinals2.ofs_sincru [lemma, in ofs_sincru]
Ordinals2.OIax_g1 [definition, in OIax_g1]
Ordinals2.OIax_g2 [definition, in OIax_g2]
Ordinals2.OIax_g3 [definition, in OIax_g3]
Ordinals2.OIax_g4 [definition, in OIax_g4]
Ordinals2.OIax_w0 [definition, in OIax_w0]
Ordinals2.OIax_w1 [definition, in OIax_w1]
Ordinals2.OIax_w2 [definition, in OIax_w2]
Ordinals2.OIax_w3 [definition, in OIax_w3]
Ordinals2.OIax_w2w [definition, in OIax_w2w]
Ordinals2.OIax1 [definition, in OIax1]
Ordinals2.OIax1b [definition, in OIax1b]
Ordinals2.OIax2 [definition, in OIax2]
Ordinals2.OIax3 [definition, in OIax3]
Ordinals2.ointvP [lemma, in ointvP]
Ordinals2.ointvP0 [lemma, in ointvP0]
Ordinals2.ointv_sup1 [lemma, in ointv_sup1]
Ordinals2.ointv_pr1 [lemma, in ointv_pr1]
Ordinals2.ointv_pr2 [lemma, in ointv_pr2]
Ordinals2.ointv_sup [lemma, in ointv_sup]
Ordinals2.ointv1 [lemma, in ointv1]
Ordinals2.omax [definition, in omax]
Ordinals2.omaxA [lemma, in omaxA]
Ordinals2.omaxC [lemma, in omaxC]
Ordinals2.omax_p1 [lemma, in omax_p1]
Ordinals2.omax_p2 [lemma, in omax_p2]
Ordinals2.omax_p3 [lemma, in omax_p3]
Ordinals2.omega_div [lemma, in omega_div]
Ordinals2.omega_pow_nz [lemma, in omega_pow_nz]
Ordinals2.omega_log_p1 [lemma, in omega_log_p1]
Ordinals2.omega_pow_pos [lemma, in omega_pow_pos]
Ordinals2.opowx0 [lemma, in opowx0]
Ordinals2.opowx1 [lemma, in opowx1]
Ordinals2.opow_nz0 [lemma, in opow_nz0]
Ordinals2.opow_pos [lemma, in opow_pos]
Ordinals2.opow_2int [lemma, in opow_2int]
Ordinals2.opow_regular [lemma, in opow_regular]
Ordinals2.opow_sum [lemma, in opow_sum]
Ordinals2.opow_countable [lemma, in opow_countable]
Ordinals2.opow_prod [lemma, in opow_prod]
Ordinals2.opow_normal [lemma, in opow_normal]
Ordinals2.opow_Meqle1 [lemma, in opow_Meqle1]
Ordinals2.opow_Mleeq [lemma, in opow_Mleeq]
Ordinals2.opow_Mlele [lemma, in opow_Mlele]
Ordinals2.opow_Meqltr [lemma, in opow_Meqltr]
Ordinals2.opow_rec_def [lemma, in opow_rec_def]
Ordinals2.opow_Meqle [lemma, in opow_Meqle]
Ordinals2.opow_Meqlt [lemma, in opow_Meqlt]
Ordinals2.opow_2int1 [lemma, in opow_2int1]
Ordinals2.opow_eq_one [lemma, in opow_eq_one]
Ordinals2.opow_Mspec [lemma, in opow_Mspec]
Ordinals2.opow_Momega_le [lemma, in opow_Momega_le]
Ordinals2.opow_succ [lemma, in opow_succ]
Ordinals2.opow_Momega_lt [lemma, in opow_Momega_lt]
Ordinals2.opow_Mspec2 [lemma, in opow_Mspec2]
Ordinals2.opow0x [lemma, in opow0x]
Ordinals2.opow0x' [lemma, in opow0x']
Ordinals2.opow00 [lemma, in opow00]
Ordinals2.opow1x [lemma, in opow1x]
Ordinals2.opow2x [lemma, in opow2x]
Ordinals2.opow2_pos [lemma, in opow2_pos]
Ordinals2.oprod_limit [lemma, in oprod_limit]
Ordinals2.oprod_fix1 [lemma, in oprod_fix1]
Ordinals2.oprod_fix2 [lemma, in oprod_fix2]
Ordinals2.oprod_normal [lemma, in oprod_normal]
Ordinals2.OrdinalInduction [section, in OrdinalInduction]
Ordinals2.OrdinalInduction.f [variable, in f]
Ordinals2.OrdinalInduction.fv [variable, in fv]
Ordinals2.OrdinalInduction.g [variable, in g]
Ordinals2.OrdinalInduction.u [variable, in u]
Ordinals2.OrdinalInduction.w0 [variable, in w0]
Ordinals2.OrdinalInduction.w1 [variable, in w1]
Ordinals2.OrdinalInduction2 [section, in OrdinalInduction2]
Ordinals2.OrdinalInduction2.f [variable, in f]
Ordinals2.OrdinalInduction2.fv [variable, in fv]
Ordinals2.OrdinalInduction2.g [variable, in g]
Ordinals2.OrdinalInduction2.u [variable, in u]
Ordinals2.OrdinalInduction2.w0 [variable, in w0]
Ordinals2.ordinalr [definition, in ordinalr]
Ordinals2.ordinalrsP [lemma, in ordinalrsP]
Ordinals2.ordinalr_segment [lemma, in ordinalr_segment]
Ordinals2.ordinalr_Mle [lemma, in ordinalr_Mle]
Ordinals2.ordinalr_Mlt [lemma, in ordinalr_Mlt]
Ordinals2.ordinals [definition, in ordinals]
Ordinals2.ordinalsE [definition, in ordinalsE]
Ordinals2.ordinalsf [definition, in ordinalsf]
Ordinals2.ordinalsP [lemma, in ordinalsP]
Ordinals2.ordinalsrP [lemma, in ordinalsrP]
Ordinals2.ordinals_set_normal [lemma, in ordinals_set_normal]
Ordinals2.ordinals_set_iso [lemma, in ordinals_set_iso]
Ordinals2.ordinals_Mle [lemma, in ordinals_Mle]
Ordinals2.ordinals_Mlt [lemma, in ordinals_Mlt]
Ordinals2.ordinals_set_normal1 [lemma, in ordinals_set_normal1]
Ordinals2.ordinals_col_p1 [lemma, in ordinals_col_p1]
Ordinals2.ordinals_col_p2 [lemma, in ordinals_col_p2]
Ordinals2.ordinals_non_coll1 [lemma, in ordinals_non_coll1]
Ordinals2.ordinals2_extc [lemma, in ordinals2_extc]
Ordinals2.ordinal_interval [definition, in ordinal_interval]
Ordinals2.ordinal_prop [definition, in ordinal_prop]
Ordinals2.ordinal_not_collectivizing [lemma, in ordinal_not_collectivizing]
Ordinals2.ord_induction_p0 [lemma, in ord_induction_p0]
Ordinals2.ord_induction_p1 [lemma, in ord_induction_p1]
Ordinals2.ord_induction_p2 [lemma, in ord_induction_p2]
Ordinals2.ord_induction_p3 [lemma, in ord_induction_p3]
Ordinals2.ord_induction_p4 [lemma, in ord_induction_p4]
Ordinals2.ord_induction_p5 [lemma, in ord_induction_p5]
Ordinals2.ord_induction_p6 [lemma, in ord_induction_p6]
Ordinals2.ord_induction_p7 [lemma, in ord_induction_p7]
Ordinals2.ord_induction_p8 [lemma, in ord_induction_p8]
Ordinals2.ord_induction_p9 [lemma, in ord_induction_p9]
Ordinals2.ord_induction_sup [definition, in ord_induction_sup]
Ordinals2.ord_induction_zv [lemma, in ord_induction_zv]
Ordinals2.ord_ext_div_unique [lemma, in ord_ext_div_unique]
Ordinals2.ord_induction_prop [definition, in ord_induction_prop]
Ordinals2.ord_induction_p21a [lemma, in ord_induction_p21a]
Ordinals2.ord_induction_p21b [lemma, in ord_induction_p21b]
Ordinals2.ord_induction_p21c [lemma, in ord_induction_p21c]
Ordinals2.ord_induction_p21d [lemma, in ord_induction_p21d]
Ordinals2.ord_induction_unique [lemma, in ord_induction_unique]
Ordinals2.ord_ext_div_exists [lemma, in ord_ext_div_exists]
Ordinals2.ord_pow [definition, in ord_pow]
Ordinals2.ord_induction_p01 [lemma, in ord_induction_p01]
Ordinals2.ord_induction_p10 [lemma, in ord_induction_p10]
Ordinals2.ord_induction_p11 [lemma, in ord_induction_p11]
Ordinals2.ord_induction_p12 [lemma, in ord_induction_p12]
Ordinals2.ord_induction_p13 [lemma, in ord_induction_p13]
Ordinals2.ord_induction_p14 [lemma, in ord_induction_p14]
Ordinals2.ord_induction_p15 [lemma, in ord_induction_p15]
Ordinals2.ord_induction_p16 [lemma, in ord_induction_p16]
Ordinals2.ord_induction_p17 [lemma, in ord_induction_p17]
Ordinals2.ord_induction_p18 [lemma, in ord_induction_p18]
Ordinals2.ord_induction_p19 [lemma, in ord_induction_p19]
Ordinals2.ord_induction_p41 [lemma, in ord_induction_p41]
Ordinals2.ord_ext_div_pr [definition, in ord_ext_div_pr]
Ordinals2.ord_indecomposable [definition, in ord_indecomposable]
Ordinals2.ord_induction_p [definition, in ord_induction_p]
Ordinals2.ord_pow_axioms [lemma, in ord_pow_axioms]
Ordinals2.ord_sincr_cont_prop [lemma, in ord_sincr_cont_prop]
Ordinals2.ord_rev_pred [lemma, in ord_rev_pred]
Ordinals2.ord_pow' [definition, in ord_pow']
Ordinals2.ord_induction_g_unit [definition, in ord_induction_g_unit]
Ordinals2.ord_induction_exists [lemma, in ord_induction_exists]
Ordinals2.ord_sincr_cont_propu [lemma, in ord_sincr_cont_propu]
Ordinals2.ord_sincr_cont_propv [lemma, in ord_sincr_cont_propv]
Ordinals2.ord_induction_defined [definition, in ord_induction_defined]
Ordinals2.ord_induction_aux [definition, in ord_induction_aux]
Ordinals2.osi_gex1 [lemma, in osi_gex1]
Ordinals2.osi_gex [lemma, in osi_gex]
Ordinals2.osi_gexu [lemma, in osi_gexu]
Ordinals2.osum_normal [lemma, in osum_normal]
Ordinals2.osum_increasing5 [lemma, in osum_increasing5]
Ordinals2.osum_limit [lemma, in osum_limit]
Ordinals2.OS_omax [lemma, in OS_omax]
Ordinals2.OS_indecomposable [lemma, in OS_indecomposable]
Ordinals2.OS_all_der [lemma, in OS_all_der]
Ordinals2.OS_pow [lemma, in OS_pow]
Ordinals2.OS_ordinalr [lemma, in OS_ordinalr]
Ordinals2.rev_pred_prop [lemma, in rev_pred_prop]
Ordinals2.segmentr [definition, in segmentr]
Ordinals2.segmentrP [lemma, in segmentrP]
Ordinals2.sincr_ofn [definition, in sincr_ofn]
Ordinals2.sincr_ofs_exten [lemma, in sincr_ofs_exten]
Ordinals2.sincr_incr [lemma, in sincr_incr]
Ordinals2.sincr_ofsu [definition, in sincr_ofsu]
Ordinals2.succ_c_pow [lemma, in succ_c_pow]
Ordinals2.sup_critical2 [lemma, in sup_critical2]
Ordinals2.sup_critical3 [lemma, in sup_critical3]
Ordinals2.sup_critical [lemma, in sup_critical]
Ordinals2.the_least_fixedpoint_ge [definition, in the_least_fixedpoint_ge]
Ordinals2.unbounded_non_coll [lemma, in unbounded_non_coll]
Ordinals2.worder_rc_ord [lemma, in worder_rc_ord]
Ordinals2.worder_rc [definition, in worder_rc]
Ordinals2.worder_rc_op [lemma, in worder_rc_op]
Ordinals2.worder_rc_seg [lemma, in worder_rc_seg]
_ ^o _ [notation, in ::x_'^o'_x]
Ordinals3 [module, in Ordinals3]
Ordinals3.cantor_mon [definition, in cantor_mon]
Ordinals3.cantor_of_limit [lemma, in cantor_of_limit]
Ordinals3.CNFbB [definition, in CNFbB]
Ordinals3.CNFbB_prop [lemma, in CNFbB_prop]
Ordinals3.CNFbv [definition, in CNFbv]
Ordinals3.cnfbv [definition, in cnfbv]
Ordinals3.CNFBv [definition, in CNFBv]
Ordinals3.CNFbvo [definition, in CNFbvo]
Ordinals3.cnfb_bound [definition, in cnfb_bound]
Ordinals3.cnfb_bound_p [lemma, in cnfb_bound_p]
Ordinals3.cnfb_ax_simp [lemma, in cnfb_ax_simp]
Ordinals3.CNFb_axo [definition, in CNFb_axo]
Ordinals3.CNFB_bound_p [lemma, in CNFB_bound_p]
Ordinals3.CNFb_ax_exten [lemma, in CNFb_ax_exten]
Ordinals3.CNFB_exists [lemma, in CNFB_exists]
Ordinals3.CNFb_change_nv [lemma, in CNFb_change_nv]
Ordinals3.CNFb_exists [lemma, in CNFb_exists]
Ordinals3.CNFB_ax_simp [lemma, in CNFB_ax_simp]
Ordinals3.CNFb_A [lemma, in CNFb_A]
Ordinals3.CNFb_m_ax [lemma, in CNFb_m_ax]
Ordinals3.cnfb_unique [lemma, in cnfb_unique]
Ordinals3.CNFb_Al [lemma, in CNFb_Al]
Ordinals3.CNFB_ax [definition, in CNFB_ax]
Ordinals3.CNFb_ax [definition, in CNFb_ax]
Ordinals3.CNFb_p5 [lemma, in CNFb_p5]
Ordinals3.CNFb_p8 [lemma, in CNFb_p8]
Ordinals3.CNFB_bound [definition, in CNFB_bound]
Ordinals3.CNFb_exten [lemma, in CNFb_exten]
Ordinals3.cnfb_ax [definition, in cnfb_ax]
Ordinals3.CNFb_r_ax [lemma, in CNFb_r_ax]
Ordinals3.CNFB_unique [lemma, in CNFB_unique]
Ordinals3.cnfb_exists [lemma, in cnfb_exists]
Ordinals3.CNFb_s_ax [lemma, in CNFb_s_ax]
Ordinals3.CNFb_unique [lemma, in CNFb_unique]
Ordinals3.CNFpv [definition, in CNFpv]
Ordinals3.CNFpv1 [definition, in CNFpv1]
Ordinals3.CNFp_ax [definition, in CNFp_ax]
Ordinals3.CNFp_p2 [lemma, in CNFp_p2]
Ordinals3.CNFp_p3 [lemma, in CNFp_p3]
Ordinals3.CNFp_p4 [lemma, in CNFp_p4]
Ordinals3.CNFp_pg [lemma, in CNFp_pg]
Ordinals3.CNFp_ph [lemma, in CNFp_ph]
Ordinals3.CNFp_ax1 [definition, in CNFp_ax1]
Ordinals3.CNFp_ax4 [definition, in CNFp_ax4]
Ordinals3.CNFp_0 [lemma, in CNFp_0]
Ordinals3.CNFp_1 [lemma, in CNFp_1]
Ordinals3.CNFp_A [lemma, in CNFp_A]
Ordinals3.CNFp_r [lemma, in CNFp_r]
Ordinals3.CNFp_ax_ax1 [lemma, in CNFp_ax_ax1]
Ordinals3.CNFp_unique [lemma, in CNFp_unique]
Ordinals3.CNFp_value1 [definition, in CNFp_value1]
Ordinals3.CNFp_value2 [definition, in CNFp_value2]
Ordinals3.CNFp_exists [lemma, in CNFp_exists]
Ordinals3.CNFp_pr1 [lemma, in CNFp_pr1]
Ordinals3.CNFq_Al [lemma, in CNFq_Al]
Ordinals3.CNFq_extensionality1 [lemma, in CNFq_extensionality1]
Ordinals3.CNFq_ax [definition, in CNFq_ax]
Ordinals3.CNFq_p0 [lemma, in CNFq_p0]
Ordinals3.CNFq_p1 [lemma, in CNFq_p1]
Ordinals3.CNFq_p2 [lemma, in CNFq_p2]
Ordinals3.CNFq_p3 [lemma, in CNFq_p3]
Ordinals3.CNFq_p4 [lemma, in CNFq_p4]
Ordinals3.CNFq_p5 [lemma, in CNFq_p5]
Ordinals3.CNFq_p6 [lemma, in CNFq_p6]
Ordinals3.CNFq_p7 [lemma, in CNFq_p7]
Ordinals3.CNFq_pg [lemma, in CNFq_pg]
Ordinals3.CNFq_exponents_r [lemma, in CNFq_exponents_r]
Ordinals3.CNFq_extension_pr [lemma, in CNFq_extension_pr]
Ordinals3.CNFq_A [lemma, in CNFq_A]
Ordinals3.CNFq_r_ax [lemma, in CNFq_r_ax]
Ordinals3.CNFq_s_ax [lemma, in CNFq_s_ax]
Ordinals3.CNFq_extension [definition, in CNFq_extension]
Ordinals3.CNFq_zero [lemma, in CNFq_zero]
Ordinals3.CNFQ_bound [definition, in CNFQ_bound]
Ordinals3.CNFq_exten [lemma, in CNFq_exten]
Ordinals3.CNFq_axm_exp [lemma, in CNFq_axm_exp]
Ordinals3.CNFq_pg0 [lemma, in CNFq_pg0]
Ordinals3.CNFq_pg1 [lemma, in CNFq_pg1]
Ordinals3.CNFq_pg2 [lemma, in CNFq_pg2]
Ordinals3.CNFq_pg3 [lemma, in CNFq_pg3]
Ordinals3.CNFq_pg4 [lemma, in CNFq_pg4]
Ordinals3.CNFq_pg5 [lemma, in CNFq_pg5]
Ordinals3.CNFq_exists3 [lemma, in CNFq_exists3]
Ordinals3.CNFq_m_ax [lemma, in CNFq_m_ax]
Ordinals3.CNFq_extension2_pr [lemma, in CNFq_extension2_pr]
Ordinals3.CNFq_ax_exten [lemma, in CNFq_ax_exten]
Ordinals3.CNFq_extensionality [lemma, in CNFq_extensionality]
Ordinals3.CNFrv [definition, in CNFrv]
Ordinals3.CNFrv0 [definition, in CNFrv0]
Ordinals3.CNFr_exists [lemma, in CNFr_exists]
Ordinals3.CNFr_ax [definition, in CNFr_ax]
Ordinals3.CNFr_ax_p1 [lemma, in CNFr_ax_p1]
Ordinals3.CNFr_ax_p2 [lemma, in CNFr_ax_p2]
Ordinals3.CNFr_ax_p3 [lemma, in CNFr_ax_p3]
Ordinals3.CNFr_p1 [lemma, in CNFr_p1]
Ordinals3.CNFr_p2 [lemma, in CNFr_p2]
Ordinals3.CNFr_p3 [lemma, in CNFr_p3]
Ordinals3.CNFr_p4 [lemma, in CNFr_p4]
Ordinals3.CNFr_p5 [lemma, in CNFr_p5]
Ordinals3.CNFr_p6 [lemma, in CNFr_p6]
Ordinals3.CNFr_ax0 [definition, in CNFr_ax0]
Ordinals3.CNFr_unique [lemma, in CNFr_unique]
Ordinals3.CNFr_unique1 [lemma, in CNFr_unique1]
Ordinals3.CNF_baseb.b [variable, in b]
Ordinals3.CNF_sum_pr1 [lemma, in CNF_sum_pr1]
Ordinals3.CNF_sum_pr2 [lemma, in CNF_sum_pr2]
Ordinals3.CNF_sum_pr3 [lemma, in CNF_sum_pr3]
Ordinals3.CNF_coefficients [abbreviation, in CNF_coefficients]
Ordinals3.CNF_exp_bnd [lemma, in CNF_exp_bnd]
Ordinals3.CNF_baseb [section, in CNF_baseb]
Ordinals3.CNF_exp_add_expo [lemma, in CNF_exp_add_expo]
Ordinals3.CNF_M0le [lemma, in CNF_M0le]
Ordinals3.CNF_succ_pow1 [lemma, in CNF_succ_pow1]
Ordinals3.CNF_mpc [definition, in CNF_mpc]
Ordinals3.CNF_mpe [definition, in CNF_mpe]
Ordinals3.CNF_exponents_of [lemma, in CNF_exponents_of]
Ordinals3.CNF_pow_pr1 [lemma, in CNF_pow_pr1]
Ordinals3.CNF_pow_pr2 [lemma, in CNF_pow_pr2]
Ordinals3.CNF_pow_pr3 [lemma, in CNF_pow_pr3]
Ordinals3.CNF_pow_pr4 [lemma, in CNF_pow_pr4]
Ordinals3.CNF_pow_pr5 [lemma, in CNF_pow_pr5]
Ordinals3.CNF_sum_bounded1 [lemma, in CNF_sum_bounded1]
Ordinals3.CNF_exponents_sM [lemma, in CNF_exponents_sM]
Ordinals3.CNF_domain [lemma, in CNF_domain]
Ordinals3.CNF_exponentsP [lemma, in CNF_exponentsP]
Ordinals3.CNF_exponents [definition, in CNF_exponents]
Ordinals3.CNF_exponents_I [lemma, in CNF_exponents_I]
Ordinals3.CNF_exponents_M [lemma, in CNF_exponents_M]
Ordinals3.CNF_ext_coeffs [definition, in CNF_ext_coeffs]
Ordinals3.CNF_change_n_ax [lemma, in CNF_change_n_ax]
Ordinals3.CNF_limit [lemma, in CNF_limit]
Ordinals3.CNF_succ_pow [lemma, in CNF_succ_pow]
Ordinals3.CNF_singleton [lemma, in CNF_singleton]
Ordinals3.CNF_prod_pr2bis [lemma, in CNF_prod_pr2bis]
Ordinals3.CNF_prod_pr1 [lemma, in CNF_prod_pr1]
Ordinals3.CNF_prod_pr2 [lemma, in CNF_prod_pr2]
Ordinals3.CNF_prod_pr3 [lemma, in CNF_prod_pr3]
Ordinals3.CNF_prod_pr4 [lemma, in CNF_prod_pr4]
Ordinals3.CNF_prod_pr5 [lemma, in CNF_prod_pr5]
Ordinals3.CNF_prod_pr6 [lemma, in CNF_prod_pr6]
Ordinals3.CNF_sum_ax [lemma, in CNF_sum_ax]
Ordinals3.CNF_sup_coef_pr [lemma, in CNF_sup_coef_pr]
Ordinals3.CNF_exponents_card [lemma, in CNF_exponents_card]
Ordinals3.CNF_domain1 [lemma, in CNF_domain1]
Ordinals3.CNF_domain2 [lemma, in CNF_domain2]
Ordinals3.CNF_domainP [lemma, in CNF_domainP]
Ordinals3.CNF_graph [definition, in CNF_graph]
Ordinals3.CNF_exp_add_expo1 [lemma, in CNF_exp_add_expo1]
Ordinals3.CNF_subset [definition, in CNF_subset]
Ordinals3.CNF_exp_add_expos [lemma, in CNF_exp_add_expos]
Ordinals3.CNF_se_p [lemma, in CNF_se_p]
Ordinals3.cnf_m [definition, in cnf_m]
Ordinals3.cnf_s [definition, in cnf_s]
Ordinals3.cnf_change_n [definition, in cnf_change_n]
Ordinals3.CNF_exponents_exten [lemma, in CNF_exponents_exten]
Ordinals3.CNF_exponents_compare_expo [lemma, in CNF_exponents_compare_expo]
Ordinals3.CNF_limit0 [lemma, in CNF_limit0]
Ordinals3.CNF_limit1 [lemma, in CNF_limit1]
Ordinals3.CNF_limit2 [lemma, in CNF_limit2]
Ordinals3.CNF_limit3 [lemma, in CNF_limit3]
Ordinals3.CNF_baseb.bg2 [variable, in bg2]
Ordinals3.natural_sum_p1 [lemma, in natural_sum_p1]
Ordinals3.natural_sum_p2 [lemma, in natural_sum_p2]
Ordinals3.natural_sum_p3 [lemma, in natural_sum_p3]
Ordinals3.opow_int_omega [lemma, in opow_int_omega]
Ordinals3.oprod_crit_aux [lemma, in oprod_crit_aux]
Ordinals3.oprod_comm [definition, in oprod_comm]
Ordinals3.oprod2_comm1 [lemma, in oprod2_comm1]
Ordinals3.oprod2_comm2 [lemma, in oprod2_comm2]
Ordinals3.oprod2_comm3 [lemma, in oprod2_comm3]
Ordinals3.oprod2_comm4 [lemma, in oprod2_comm4]
Ordinals3.oprod2_comm5 [lemma, in oprod2_comm5]
Ordinals3.oprod2_comm6 [lemma, in oprod2_comm6]
Ordinals3.oprod2_comm_P1 [definition, in oprod2_comm_P1]
Ordinals3.oprod2_comm_P4 [definition, in oprod2_comm_P4]
Ordinals3.oprod2_comm [lemma, in oprod2_comm]
Ordinals3.ord_negl [definition, in ord_negl]
Ordinals3.ord_natural_small [lemma, in ord_natural_small]
Ordinals3.ord_negl_lt [lemma, in ord_negl_lt]
Ordinals3.ord_negl_p1 [lemma, in ord_negl_p1]
Ordinals3.ord_negl_p2 [lemma, in ord_negl_p2]
Ordinals3.ord_negl_p3 [lemma, in ord_negl_p3]
Ordinals3.ord_negl_p4 [lemma, in ord_negl_p4]
Ordinals3.ord_negl_p5 [lemma, in ord_negl_p5]
Ordinals3.ord_negl_p6 [lemma, in ord_negl_p6]
Ordinals3.ord_negl_p7 [lemma, in ord_negl_p7]
Ordinals3.ord_negl_p8 [lemma, in ord_negl_p8]
Ordinals3.ord_negl_pg [lemma, in ord_negl_pg]
Ordinals3.ord_negl_sum1 [lemma, in ord_negl_sum1]
Ordinals3.ord_negl_sum2 [lemma, in ord_negl_sum2]
Ordinals3.ord_negl_sum3 [lemma, in ord_negl_sum3]
Ordinals3.ord_natural_M0le [lemma, in ord_natural_M0le]
Ordinals3.ord_neg_sum4 [lemma, in ord_neg_sum4]
Ordinals3.ord_natural_sum [definition, in ord_natural_sum]
Ordinals3.ord_natural_sum_aux [definition, in ord_natural_sum_aux]
Ordinals3.ord_negl_sum [lemma, in ord_negl_sum]
Ordinals3.ord_negl_prod [lemma, in ord_negl_prod]
Ordinals3.ord_natural_finite_cover [lemma, in ord_natural_finite_cover]
Ordinals3.ord_natural_sum0 [lemma, in ord_natural_sum0]
Ordinals3.ord_natural_sumC [lemma, in ord_natural_sumC]
Ordinals3.osum2_commutes [lemma, in osum2_commutes]
Ordinals3.OS_natural_sum [lemma, in OS_natural_sum]
Ordinals3.OS_CNFb [lemma, in OS_CNFb]
Ordinals3.OS_CNFp [lemma, in OS_CNFp]
Ordinals3.OS_CNFq [lemma, in OS_CNFq]
Ordinals3.OS_CNFp1r [lemma, in OS_CNFp1r]
Ordinals3.OS_CNFp0 [lemma, in OS_CNFp0]
Ordinals3.OS_CNFp1 [lemma, in OS_CNFp1]
Ordinals3.OS_CNFr0 [lemma, in OS_CNFr0]
Ordinals3.OS_the_CNF_degree [lemma, in OS_the_CNF_degree]
Ordinals3.OS_the_cnf_degree [lemma, in OS_the_cnf_degree]
Ordinals3.props_of_b [lemma, in props_of_b]
Ordinals3.succ_pow_omega_irred [lemma, in succ_pow_omega_irred]
Ordinals3.the_CNF_degree [definition, in the_CNF_degree]
Ordinals3.the_CNF_split [lemma, in the_CNF_split]
Ordinals3.the_cnf_degree [definition, in the_cnf_degree]
Ordinals3.the_CNF_p0 [lemma, in the_CNF_p0]
Ordinals3.the_CNF_p1 [lemma, in the_CNF_p1]
Ordinals3.the_CNF_p2 [lemma, in the_CNF_p2]
Ordinals3.the_CNF_p3 [lemma, in the_CNF_p3]
Ordinals3.the_CNF_p4 [lemma, in the_CNF_p4]
Ordinals3.the_CNF_p5 [lemma, in the_CNF_p5]
Ordinals3.the_CNF_p6 [lemma, in the_CNF_p6]
Ordinals3.the_CNF_degree_one [lemma, in the_CNF_degree_one]
Ordinals3.the_cnf [definition, in the_cnf]
Ordinals3.the_CNF [definition, in the_CNF]
Ordinals3.the_CNF_degree_omega [lemma, in the_CNF_degree_omega]
Ordinals3.the_cnf_p0 [lemma, in the_cnf_p0]
Ordinals3.the_cnf_p1 [lemma, in the_cnf_p1]
Ordinals3.the_cnf_p2 [lemma, in the_cnf_p2]
Ordinals3.the_cnf_p3 [lemma, in the_cnf_p3]
_ <
_ +#o _ [notation, in ::x_'+#o'_x]
Ordinals4 [module, in Ordinals4]
Ordinals4.aleph_lt_ltc [lemma, in aleph_lt_ltc]
Ordinals4.aleph_pr10a [lemma, in aleph_pr10a]
Ordinals4.aleph_pr10b [lemma, in aleph_pr10b]
Ordinals4.aleph_pr10c [lemma, in aleph_pr10c]
Ordinals4.aleph_lt_lto [lemma, in aleph_lt_lto]
Ordinals4.aleph_leo_le [lemma, in aleph_leo_le]
Ordinals4.aleph_pr12b [lemma, in aleph_pr12b]
Ordinals4.aleph_pr12c [lemma, in aleph_pr12c]
Ordinals4.aleph_pr12d [lemma, in aleph_pr12d]
Ordinals4.aleph_pr12e [lemma, in aleph_pr12e]
Ordinals4.aleph_succ_pr2 [lemma, in aleph_succ_pr2]
Ordinals4.aleph_succ_pr3 [lemma, in aleph_succ_pr3]
Ordinals4.aleph_nz1 [lemma, in aleph_nz1]
Ordinals4.aleph_le_lec [lemma, in aleph_le_lec]
Ordinals4.aleph_le_leo [lemma, in aleph_le_leo]
Ordinals4.aleph_pr1 [lemma, in aleph_pr1]
Ordinals4.aleph_pr5 [lemma, in aleph_pr5]
Ordinals4.aleph_pr6 [lemma, in aleph_pr6]
Ordinals4.aleph_succ_P1 [lemma, in aleph_succ_P1]
Ordinals4.aleph_eq [lemma, in aleph_eq]
Ordinals4.aleph_succ_comp [definition, in aleph_succ_comp]
Ordinals4.aleph_nz [lemma, in aleph_nz]
Ordinals4.aleph_ltc_lt [lemma, in aleph_ltc_lt]
Ordinals4.aleph_limit [lemma, in aleph_limit]
Ordinals4.aleph_pr11 [lemma, in aleph_pr11]
Ordinals4.aleph_lto_lt [lemma, in aleph_lto_lt]
Ordinals4.aleph_pr5c [lemma, in aleph_pr5c]
Ordinals4.aleph_lec_le [lemma, in aleph_lec_le]
Ordinals4.aleph_sum_pr1 [lemma, in aleph_sum_pr1]
Ordinals4.aleph_sum_pr2 [lemma, in aleph_sum_pr2]
Ordinals4.aleph_sum_pr3 [lemma, in aleph_sum_pr3]
Ordinals4.aleph_sum_pr4 [lemma, in aleph_sum_pr4]
Ordinals4.aleph_sum_pr5 [lemma, in aleph_sum_pr5]
Ordinals4.aleph_sum_pr6 [lemma, in aleph_sum_pr6]
Ordinals4.aleph0 [definition, in aleph0]
Ordinals4.aleph1 [definition, in aleph1]
Ordinals4.aleph2 [definition, in aleph2]
Ordinals4.all_der_sum_aux [lemma, in all_der_sum_aux]
Ordinals4.all_der_prod [lemma, in all_der_prod]
Ordinals4.all_der_prod_aux [lemma, in all_der_prod_aux]
Ordinals4.all_der_pow_aux [lemma, in all_der_pow_aux]
Ordinals4.all_der_prod_cor [lemma, in all_der_prod_cor]
Ordinals4.all_der_sum [lemma, in all_der_sum]
Ordinals4.all_der_ident [lemma, in all_der_ident]
Ordinals4.Cantor_omega_pr2 [lemma, in Cantor_omega_pr2]
Ordinals4.Cantor_omega_pr3 [lemma, in Cantor_omega_pr3]
Ordinals4.Cantor_omega_pr [lemma, in Cantor_omega_pr]
Ordinals4.Cantor_Omega [definition, in Cantor_Omega]
Ordinals4.CNF_psi_ax [definition, in CNF_psi_ax]
Ordinals4.CNF_psi_lt_Gamma0 [lemma, in CNF_psi_lt_Gamma0]
Ordinals4.CNF_psi_exists_Gamma0 [lemma, in CNF_psi_exists_Gamma0]
Ordinals4.CNF_psi_p0 [lemma, in CNF_psi_p0]
Ordinals4.CNF_psi_p1 [lemma, in CNF_psi_p1]
Ordinals4.CNF_from_psi [definition, in CNF_from_psi]
Ordinals4.CNF_psi_exists [lemma, in CNF_psi_exists]
Ordinals4.CNF_psiv [definition, in CNF_psiv]
Ordinals4.CNF_psi_unique [lemma, in CNF_psi_unique]
Ordinals4.CNF_psi_ax2 [definition, in CNF_psi_ax2]
Ordinals4.cofinality [definition, in cofinality]
Ordinals4.cofinality_prod [lemma, in cofinality_prod]
Ordinals4.cofinality_proj [lemma, in cofinality_proj]
Ordinals4.cofinality_small [lemma, in cofinality_small]
Ordinals4.cofinality_index_regular [lemma, in cofinality_index_regular]
Ordinals4.cofinality_c_pr2 [lemma, in cofinality_c_pr2]
Ordinals4.cofinality_c_pr3 [lemma, in cofinality_c_pr3]
Ordinals4.cofinality_pr1 [lemma, in cofinality_pr1]
Ordinals4.cofinality_pr2 [lemma, in cofinality_pr2]
Ordinals4.cofinality_pr3 [lemma, in cofinality_pr3]
Ordinals4.cofinality_pr4 [lemma, in cofinality_pr4]
Ordinals4.cofinality_pr5 [lemma, in cofinality_pr5]
Ordinals4.cofinality_pr8 [lemma, in cofinality_pr8]
Ordinals4.cofinality_reg [lemma, in cofinality_reg]
Ordinals4.cofinality_c_small [lemma, in cofinality_c_small]
Ordinals4.cofinality_alt [definition, in cofinality_alt]
Ordinals4.cofinality_infinite [lemma, in cofinality_infinite]
Ordinals4.cofinality_aux [definition, in cofinality_aux]
Ordinals4.cofinality_regular [lemma, in cofinality_regular]
Ordinals4.cofinality_c_finite [lemma, in cofinality_c_finite]
Ordinals4.cofinality_sum [lemma, in cofinality_sum]
Ordinals4.cofinality_infinite_cardinal [lemma, in cofinality_infinite_cardinal]
Ordinals4.cofinality_succ [lemma, in cofinality_succ]
Ordinals4.cofinality_least_fp_normal [lemma, in cofinality_least_fp_normal]
Ordinals4.cofinality_index [lemma, in cofinality_index]
Ordinals4.cofinality_limit1 [lemma, in cofinality_limit1]
Ordinals4.cofinality_limit2 [lemma, in cofinality_limit2]
Ordinals4.cofinality_limit3 [lemma, in cofinality_limit3]
Ordinals4.cofinality_limit4 [lemma, in cofinality_limit4]
Ordinals4.cofinality_c [definition, in cofinality_c]
Ordinals4.cofinality_c_ex [definition, in cofinality_c_ex]
Ordinals4.cofinality_c_rw [lemma, in cofinality_c_rw]
Ordinals4.cofinality_infinite_limit [lemma, in cofinality_infinite_limit]
Ordinals4.cofinality_least_fp_normal2 [lemma, in cofinality_least_fp_normal2]
Ordinals4.cofinality_least_fp_normal3 [lemma, in cofinality_least_fp_normal3]
Ordinals4.cofinality_n0 [lemma, in cofinality_n0]
Ordinals4.cofinality_sd [lemma, in cofinality_sd]
Ordinals4.cofinality_rw [lemma, in cofinality_rw]
Ordinals4.cofinality_prod_omega [lemma, in cofinality_prod_omega]
Ordinals4.cofinality_card [lemma, in cofinality_card]
Ordinals4.cofinality' [definition, in cofinality']
Ordinals4.cofinality'_pr0 [lemma, in cofinality'_pr0]
Ordinals4.cofinality'_pr2 [lemma, in cofinality'_pr2]
Ordinals4.cofinality'_pr3 [lemma, in cofinality'_pr3]
Ordinals4.cofinality0 [lemma, in cofinality0]
Ordinals4.cofinality1 [lemma, in cofinality1]
Ordinals4.cofinal_function [definition, in cofinal_function]
Ordinals4.cofinal_function_pr2 [lemma, in cofinal_function_pr2]
Ordinals4.cofinal_function_ex [definition, in cofinal_function_ex]
Ordinals4.ContHypothesis [definition, in ContHypothesis]
Ordinals4.countable_epsilon [lemma, in countable_epsilon]
Ordinals4.countable_Gamma_0 [lemma, in countable_Gamma_0]
Ordinals4.critical_productP [lemma, in critical_productP]
Ordinals4.csum_of_small0 [definition, in csum_of_small0]
Ordinals4.csum_of_small1 [definition, in csum_of_small1]
Ordinals4.csum_of_small_b1 [lemma, in csum_of_small_b1]
Ordinals4.csum_of_small_b2 [lemma, in csum_of_small_b2]
Ordinals4.csum_of_small_b3 [lemma, in csum_of_small_b3]
Ordinals4.csum_of_small_b4 [lemma, in csum_of_small_b4]
Ordinals4.csum_of_small_b5 [lemma, in csum_of_small_b5]
Ordinals4.csum_commutative1 [lemma, in csum_commutative1]
Ordinals4.CS_cofinality_c [lemma, in CS_cofinality_c]
Ordinals4.CS_cofinality [lemma, in CS_cofinality]
Ordinals4.CS_aleph [lemma, in CS_aleph]
Ordinals4.epsilon_fam_pr2'' [lemma, in epsilon_fam_pr2'']
Ordinals4.epsilon_fct_pr0 [lemma, in epsilon_fct_pr0]
Ordinals4.epsilon_fct_pr1 [lemma, in epsilon_fct_pr1]
Ordinals4.epsilon_fct_pr2 [lemma, in epsilon_fct_pr2]
Ordinals4.epsilon_fct_pr3 [lemma, in epsilon_fct_pr3]
Ordinals4.epsilon_fam_pr2' [lemma, in epsilon_fam_pr2']
Ordinals4.epsilon_fam [definition, in epsilon_fam]
Ordinals4.epsilon_fct [definition, in epsilon_fct]
Ordinals4.epsilon_fam_pr0 [lemma, in epsilon_fam_pr0]
Ordinals4.epsilon_fam_pr1 [lemma, in epsilon_fam_pr1]
Ordinals4.epsilon_fam_pr2 [lemma, in epsilon_fam_pr2]
Ordinals4.epsilon_fam_pr3 [lemma, in epsilon_fam_pr3]
Ordinals4.epsilon_fam_pr4 [lemma, in epsilon_fam_pr4]
Ordinals4.epsilon_fam_pr5 [lemma, in epsilon_fam_pr5]
Ordinals4.epsilon_fam_pr6 [lemma, in epsilon_fam_pr6]
Ordinals4.epsilon_fam_pr7 [lemma, in epsilon_fam_pr7]
Ordinals4.fg_Mlt_ltc [definition, in fg_Mlt_ltc]
Ordinals4.fg_Mlt_lto [definition, in fg_Mlt_lto]
Ordinals4.fg_Mle_lec [definition, in fg_Mle_lec]
Ordinals4.fg_Mle_leo [definition, in fg_Mle_leo]
Ordinals4.Gamma_0 [definition, in Gamma_0]
Ordinals4.Gamma0_limit [lemma, in Gamma0_limit]
Ordinals4.Gamma0_p [lemma, in Gamma0_p]
Ordinals4.Gamma0_s [lemma, in Gamma0_s]
Ordinals4.Gamma0_epsilon [lemma, in Gamma0_epsilon]
Ordinals4.Gamma0_s_psi [lemma, in Gamma0_s_psi]
Ordinals4.GenContHypothesis [definition, in GenContHypothesis]
Ordinals4.iclosed_non_coll_infinite_c [lemma, in iclosed_non_coll_infinite_c]
Ordinals4.inaccessible_pr1 [lemma, in inaccessible_pr1]
Ordinals4.inaccessible_w [definition, in inaccessible_w]
Ordinals4.increasing_sup_limit1 [lemma, in increasing_sup_limit1]
Ordinals4.increasing_sup_limit2 [lemma, in increasing_sup_limit2]
Ordinals4.increasing_sup_limit3 [lemma, in increasing_sup_limit3]
Ordinals4.increasing_sup_limit4 [lemma, in increasing_sup_limit4]
Ordinals4.infinite_regularP [lemma, in infinite_regularP]
Ordinals4.inverse_epsilon_pr [lemma, in inverse_epsilon_pr]
Ordinals4.inverse_epsilon [definition, in inverse_epsilon]
Ordinals4.inv_psi_omega [definition, in inv_psi_omega]
Ordinals4.inv_psi_omega_p [lemma, in inv_psi_omega_p]
Ordinals4.least_critical_pow [lemma, in least_critical_pow]
Ordinals4.maximal_critical [definition, in maximal_critical]
Ordinals4.maximal_criticalP [lemma, in maximal_criticalP]
Ordinals4.maximal_critical_p1 [lemma, in maximal_critical_p1]
Ordinals4.normal_function_fixpoints [lemma, in normal_function_fixpoints]
Ordinals4.ofg_Mle_leo_p1 [lemma, in ofg_Mle_leo_p1]
Ordinals4.ofg_Mle_leo_os [lemma, in ofg_Mle_leo_os]
Ordinals4.ofg_Mlt_lto_p1 [lemma, in ofg_Mlt_lto_p1]
Ordinals4.ofg_Mlt_lto_p2 [lemma, in ofg_Mlt_lto_p2]
Ordinals4.ofg_Mlt_lto_p3 [lemma, in ofg_Mlt_lto_p3]
Ordinals4.ofg_Mlt_lto [definition, in ofg_Mlt_lto]
Ordinals4.ofg_Mle_leo [definition, in ofg_Mle_leo]
Ordinals4.olog [definition, in olog]
Ordinals4.ologp [lemma, in ologp]
Ordinals4.ologp_psi [lemma, in ologp_psi]
Ordinals4.omega_fct [definition, in omega_fct]
Ordinals4.omega1 [definition, in omega1]
Ordinals4.omega2 [definition, in omega2]
Ordinals4.ordinals_card_ltP [lemma, in ordinals_card_ltP]
Ordinals4.ordinal_epsilon [definition, in ordinal_epsilon]
Ordinals4.ord_index [definition, in ord_index]
Ordinals4.ord_index_pr1 [lemma, in ord_index_pr1]
Ordinals4.ord_eps_p1 [lemma, in ord_eps_p1]
Ordinals4.ord_eps_p2 [lemma, in ord_eps_p2]
Ordinals4.ord_eps_p3 [lemma, in ord_eps_p3]
Ordinals4.ord_eps_p4 [lemma, in ord_eps_p4]
Ordinals4.ord_epsilon_p10 [lemma, in ord_epsilon_p10]
Ordinals4.ord_epsilon_p11 [lemma, in ord_epsilon_p11]
Ordinals4.ord_epsilon_p12 [lemma, in ord_epsilon_p12]
Ordinals4.ord_epsilon_p13 [lemma, in ord_epsilon_p13]
Ordinals4.ord_epsilon_p9 [lemma, in ord_epsilon_p9]
Ordinals4.ord_index_pr [lemma, in ord_index_pr]
Ordinals4.OS_Schutte_zeta [lemma, in OS_Schutte_zeta]
Ordinals4.OS_aleph [lemma, in OS_aleph]
Ordinals4.OS_Schutte_phi [lemma, in OS_Schutte_phi]
Ordinals4.OS_Schutte_psi [lemma, in OS_Schutte_psi]
Ordinals4.OS_cofinality [lemma, in OS_cofinality]
Ordinals4.pow_fix_enumeration1 [lemma, in pow_fix_enumeration1]
Ordinals4.pow_fix_enumeration2 [lemma, in pow_fix_enumeration2]
Ordinals4.regular_is_cardinal [lemma, in regular_is_cardinal]
Ordinals4.regular_initial_limit0 [lemma, in regular_initial_limit0]
Ordinals4.regular_initial_limit1 [lemma, in regular_initial_limit1]
Ordinals4.regular_initial_limit2 [lemma, in regular_initial_limit2]
Ordinals4.regular_initial_limit3 [lemma, in regular_initial_limit3]
Ordinals4.regular_initial_limit4 [lemma, in regular_initial_limit4]
Ordinals4.regular_initial_limit5 [lemma, in regular_initial_limit5]
Ordinals4.regular_cardinal_omega [lemma, in regular_cardinal_omega]
Ordinals4.regular_omega [lemma, in regular_omega]
Ordinals4.regular_cardinalP [lemma, in regular_cardinalP]
Ordinals4.regular_indecomposable [lemma, in regular_indecomposable]
Ordinals4.regular_initial_successor [lemma, in regular_initial_successor]
Ordinals4.regular_ordinal [definition, in regular_ordinal]
Ordinals4.regular_cofinal_si_unique [lemma, in regular_cofinal_si_unique]
Ordinals4.regular_finite [lemma, in regular_finite]
Ordinals4.regular_0 [lemma, in regular_0]
Ordinals4.regular_1 [lemma, in regular_1]
Ordinals4.regular_indecomposable1 [lemma, in regular_indecomposable1]
Ordinals4.regular_cardinal [definition, in regular_cardinal]
Ordinals4.Schutte_Cr_p1 [lemma, in Schutte_Cr_p1]
Ordinals4.Schutte_Cr_p2 [lemma, in Schutte_Cr_p2]
Ordinals4.Schutte_Cr_p3 [lemma, in Schutte_Cr_p3]
Ordinals4.Schutte_Cr_p4 [lemma, in Schutte_Cr_p4]
Ordinals4.Schutte_Cr_p5 [lemma, in Schutte_Cr_p5]
Ordinals4.Schutte_Cr_p6 [lemma, in Schutte_Cr_p6]
Ordinals4.Schutte_Cr_p7 [lemma, in Schutte_Cr_p7]
Ordinals4.Schutte_Cr_p8 [lemma, in Schutte_Cr_p8]
Ordinals4.Schutte_Cr_p9 [lemma, in Schutte_Cr_p9]
Ordinals4.Schutte_psi_p1' [lemma, in Schutte_psi_p1']
Ordinals4.Schutte_psi_p10 [lemma, in Schutte_psi_p10]
Ordinals4.Schutte_psi_p11 [lemma, in Schutte_psi_p11]
Ordinals4.Schutte_psi_p12 [lemma, in Schutte_psi_p12]
Ordinals4.Schutte_psi_p2' [lemma, in Schutte_psi_p2']
Ordinals4.Schutte_phi_p0 [lemma, in Schutte_phi_p0]
Ordinals4.Schutte_phi_p1 [lemma, in Schutte_phi_p1]
Ordinals4.Schutte_phi_p2 [lemma, in Schutte_phi_p2]
Ordinals4.Schutte_phi_p3 [lemma, in Schutte_phi_p3]
Ordinals4.Schutte_phi_p4 [lemma, in Schutte_phi_p4]
Ordinals4.Schutte_phi_p5 [lemma, in Schutte_phi_p5]
Ordinals4.Schutte_phi_p6 [lemma, in Schutte_phi_p6]
Ordinals4.Schutte_phi_p7 [lemma, in Schutte_phi_p7]
Ordinals4.Schutte_phi_p8 [lemma, in Schutte_phi_p8]
Ordinals4.Schutte_phi_p9 [lemma, in Schutte_phi_p9]
Ordinals4.Schutte_14_16' [lemma, in Schutte_14_16']
Ordinals4.Schutte_zeta [definition, in Schutte_zeta]
Ordinals4.Schutte_phi_bounded [lemma, in Schutte_phi_bounded]
Ordinals4.Schutte_phi [definition, in Schutte_phi]
Ordinals4.Schutte_zeta_0 [lemma, in Schutte_zeta_0]
Ordinals4.Schutte_zeta_1 [lemma, in Schutte_zeta_1]
Ordinals4.Schutte_psi [definition, in Schutte_psi]
Ordinals4.Schutte_zeta_2 [lemma, in Schutte_zeta_2]
Ordinals4.Schutte_zeta_3 [lemma, in Schutte_zeta_3]
Ordinals4.Schutte_zeta_4 [lemma, in Schutte_zeta_4]
Ordinals4.Schutte_zeta_5 [lemma, in Schutte_zeta_5]
Ordinals4.Schutte_zeta_6 [lemma, in Schutte_zeta_6]
Ordinals4.Schutte_psi_aux [definition, in Schutte_psi_aux]
Ordinals4.Schutte_phi_p10a [lemma, in Schutte_phi_p10a]
Ordinals4.Schutte_phi_p10b [lemma, in Schutte_phi_p10b]
Ordinals4.Schutte_psi_limit [lemma, in Schutte_psi_limit]
Ordinals4.Schutte_phi_countable [lemma, in Schutte_phi_countable]
Ordinals4.Schutte_Cr_p8' [lemma, in Schutte_Cr_p8']
Ordinals4.Schutte_14_16 [lemma, in Schutte_14_16]
Ordinals4.Schutte_psi_p0 [lemma, in Schutte_psi_p0]
Ordinals4.Schutte_psi_p1 [lemma, in Schutte_psi_p1]
Ordinals4.Schutte_psi_p2 [lemma, in Schutte_psi_p2]
Ordinals4.Schutte_psi_p3 [lemma, in Schutte_psi_p3]
Ordinals4.Schutte_psi_p4 [lemma, in Schutte_psi_p4]
Ordinals4.Schutte_psi_p5 [lemma, in Schutte_psi_p5]
Ordinals4.Schutte_psi_p6 [lemma, in Schutte_psi_p6]
Ordinals4.Schutte_psi_p7 [lemma, in Schutte_psi_p7]
Ordinals4.Schutte_psi_p8 [lemma, in Schutte_psi_p8]
Ordinals4.Schutte_psi_p9 [lemma, in Schutte_psi_p9]
Ordinals4.Schutte_Cr [definition, in Schutte_Cr]
Ordinals4.singular_ordinal [definition, in singular_ordinal]
Ordinals4.singular_cardinal [definition, in singular_cardinal]
Ordinals4.singular_limit [lemma, in singular_limit]
Ordinals4.strong_critical_closed_noncol [lemma, in strong_critical_closed_noncol]
Ordinals4.strong_critical [definition, in strong_critical]
Ordinals4.strong_criticalP [lemma, in strong_criticalP]
Ordinals4.succ_c_pr [lemma, in succ_c_pr]
\aleph [notation, in ::'\aleph']
\cf _ [notation, in ::'\cf'_x]
\omega [notation, in ::'\omega']
Ordinals5 [module, in Ordinals5]
Ordinals5.beth_M [lemma, in beth_M]
Ordinals5.beth_pr0 [lemma, in beth_pr0]
Ordinals5.beth_pr1 [lemma, in beth_pr1]
Ordinals5.beth_fixed_point [lemma, in beth_fixed_point]
Ordinals5.beth_prop [lemma, in beth_prop]
Ordinals5.beth_normal [lemma, in beth_normal]
Ordinals5.beth_fct [definition, in beth_fct]
Ordinals5.beth_gch [lemma, in beth_gch]
Ordinals5.beth_succ [lemma, in beth_succ]
Ordinals5.cardinal_indecomposable2 [lemma, in cardinal_indecomposable2]
Ordinals5.cardinal_pos_fam [definition, in cardinal_pos_fam]
Ordinals5.card_ge2_nz [lemma, in card_ge2_nz]
Ordinals5.card_dominant [definition, in card_dominant]
Ordinals5.card_dominant_pr10 [lemma, in card_dominant_pr10]
Ordinals5.card_dominant_pr11 [lemma, in card_dominant_pr11]
Ordinals5.card_dominant_pr1 [lemma, in card_dominant_pr1]
Ordinals5.card_dominant_pr2 [lemma, in card_dominant_pr2]
Ordinals5.card_dominant_pr3 [lemma, in card_dominant_pr3]
Ordinals5.card_dominant_pr4 [lemma, in card_dominant_pr4]
Ordinals5.card_dominant_pr5 [lemma, in card_dominant_pr5]
Ordinals5.card_dominant_pr7 [lemma, in card_dominant_pr7]
Ordinals5.card_dominant_pr8 [lemma, in card_dominant_pr8]
Ordinals5.card_dominant_pr9 [lemma, in card_dominant_pr9]
Ordinals5.cofinality_least_fp_beth [lemma, in cofinality_least_fp_beth]
Ordinals5.cofinality_sum1 [lemma, in cofinality_sum1]
Ordinals5.cofinality_sum2 [lemma, in cofinality_sum2]
Ordinals5.compare_sum_prod [lemma, in compare_sum_prod]
Ordinals5.compare_sum_prod1 [lemma, in compare_sum_prod1]
Ordinals5.compare_sum_prod2 [lemma, in compare_sum_prod2]
Ordinals5.compare_sum_prod3 [lemma, in compare_sum_prod3]
Ordinals5.compare_sum_prod5 [lemma, in compare_sum_prod5]
Ordinals5.cpow_less_ecb [definition, in cpow_less_ecb]
Ordinals5.cpow_less [definition, in cpow_less]
Ordinals5.cpow_less_ec_pr0 [lemma, in cpow_less_ec_pr0]
Ordinals5.cpow_less_ec_pr1 [lemma, in cpow_less_ec_pr1]
Ordinals5.cpow_less_ec_pr2 [lemma, in cpow_less_ec_pr2]
Ordinals5.cpow_less_ec_pr3 [lemma, in cpow_less_ec_pr3]
Ordinals5.cpow_less_ec_pr4 [lemma, in cpow_less_ec_pr4]
Ordinals5.cpow_less_ec_pr5 [lemma, in cpow_less_ec_pr5]
Ordinals5.cpow_less_ec_pr6 [lemma, in cpow_less_ec_pr6]
Ordinals5.cpow_less_ec_pr7 [lemma, in cpow_less_ec_pr7]
Ordinals5.cpow_less_ec_pr8 [lemma, in cpow_less_ec_pr8]
Ordinals5.cpow_less_pr11a [lemma, in cpow_less_pr11a]
Ordinals5.cpow_less_pr11b [lemma, in cpow_less_pr11b]
Ordinals5.cpow_less_compare [lemma, in cpow_less_compare]
Ordinals5.cpow_less_pr0 [lemma, in cpow_less_pr0]
Ordinals5.cpow_less_pr1 [lemma, in cpow_less_pr1]
Ordinals5.cpow_less_pr2 [lemma, in cpow_less_pr2]
Ordinals5.cpow_less_pr3 [lemma, in cpow_less_pr3]
Ordinals5.cpow_less_pr4 [lemma, in cpow_less_pr4]
Ordinals5.cpow_less_pr6 [lemma, in cpow_less_pr6]
Ordinals5.cpow_less_pr8 [lemma, in cpow_less_pr8]
Ordinals5.cpow_less_pr9 [lemma, in cpow_less_pr9]
Ordinals5.cpow_less_ec_prop [definition, in cpow_less_ec_prop]
Ordinals5.cpow_less_pr10 [lemma, in cpow_less_pr10]
Ordinals5.cpow_less_pr12 [lemma, in cpow_less_pr12]
Ordinals5.cpow_less_pr5a [lemma, in cpow_less_pr5a]
Ordinals5.cpow_less_pr5b [lemma, in cpow_less_pr5b]
Ordinals5.cpow_less_pr5c [lemma, in cpow_less_pr5c]
Ordinals5.cpow_less_pr5d [lemma, in cpow_less_pr5d]
Ordinals5.cpow_less_pr5e [lemma, in cpow_less_pr5e]
Ordinals5.cpow_less_pr5f [lemma, in cpow_less_pr5f]
Ordinals5.cpow_less_pr6a [lemma, in cpow_less_pr6a]
Ordinals5.cpow_less_pr7a [lemma, in cpow_less_pr7a]
Ordinals5.cpow_less_pr7b [lemma, in cpow_less_pr7b]
Ordinals5.cpow_less_alt [lemma, in cpow_less_alt]
Ordinals5.cprod_An1 [lemma, in cprod_An1]
Ordinals5.cprod_inf_eq [lemma, in cprod_inf_eq]
Ordinals5.cprod_of_small [definition, in cprod_of_small]
Ordinals5.CS_cpow_less [lemma, in CS_cpow_less]
Ordinals5.CS_beth [lemma, in CS_beth]
Ordinals5.dominant_limit [lemma, in dominant_limit]
Ordinals5.Exercise3_3.f [variable, in f]
Ordinals5.Exercise3_3.g [variable, in g]
Ordinals5.Exercise3_3.fgf [variable, in fgf]
Ordinals5.Exercise3_3.fgg [variable, in fgg]
Ordinals5.Exercise3_3.hg [variable, in hg]
Ordinals5.Exercise3_3.sd [variable, in sd]
Ordinals5.Exercise3_3 [section, in Exercise3_3]
Ordinals5.exists_ordering [lemma, in exists_ordering]
Ordinals5.GenContHypothesis_Props.gch [variable, in gch]
Ordinals5.genconthypothesis_alt [lemma, in genconthypothesis_alt]
Ordinals5.GenContHypothesis_Props [section, in GenContHypothesis_Props]
Ordinals5.gimel_fct [definition, in gimel_fct]
Ordinals5.gimel_prop1 [lemma, in gimel_prop1]
Ordinals5.gimel_prop2 [lemma, in gimel_prop2]
Ordinals5.gimel_prop3 [lemma, in gimel_prop3]
Ordinals5.gimel_prop [lemma, in gimel_prop]
Ordinals5.inaccessible [definition, in inaccessible]
Ordinals5.inaccessible_pr8_gch [lemma, in inaccessible_pr8_gch]
Ordinals5.inaccessible_dominant1 [lemma, in inaccessible_dominant1]
Ordinals5.inaccessible_dominant2 [lemma, in inaccessible_dominant2]
Ordinals5.inaccessible_dominant3 [lemma, in inaccessible_dominant3]
Ordinals5.inaccessible_pr2 [lemma, in inaccessible_pr2]
Ordinals5.inaccessible_pr3 [lemma, in inaccessible_pr3]
Ordinals5.inaccessible_pr4 [lemma, in inaccessible_pr4]
Ordinals5.inaccessible_pr5 [lemma, in inaccessible_pr5]
Ordinals5.inaccessible_pr6 [lemma, in inaccessible_pr6]
Ordinals5.inaccessible_pr7 [lemma, in inaccessible_pr7]
Ordinals5.inaccessible_pr8 [lemma, in inaccessible_pr8]
Ordinals5.inaccessible_dominant [lemma, in inaccessible_dominant]
Ordinals5.inaccessible_weak_strong [lemma, in inaccessible_weak_strong]
Ordinals5.infinite_increasing_power1 [lemma, in infinite_increasing_power1]
Ordinals5.infinite_increasing_power2 [lemma, in infinite_increasing_power2]
Ordinals5.infinite_increasing_power4 [lemma, in infinite_increasing_power4]
Ordinals5.infinite_increasing_power5 [lemma, in infinite_increasing_power5]
Ordinals5.infinite_increasing_power_bound1 [lemma, in infinite_increasing_power_bound1]
Ordinals5.infinite_power1_a [lemma, in infinite_power1_a]
Ordinals5.infinite_power1_b [lemma, in infinite_power1_b]
Ordinals5.infinite_power1_c [lemma, in infinite_power1_c]
Ordinals5.infinite_increasing_power [lemma, in infinite_increasing_power]
Ordinals5.infinite_power10 [lemma, in infinite_power10]
Ordinals5.infinite_power10_a [lemma, in infinite_power10_a]
Ordinals5.infinite_power10_b [lemma, in infinite_power10_b]
Ordinals5.infinite_power7b [lemma, in infinite_power7b]
Ordinals5.infinite_power7c [lemma, in infinite_power7c]
Ordinals5.infinite_power6w [lemma, in infinite_power6w]
Ordinals5.infinite_power7d [lemma, in infinite_power7d]
Ordinals5.infinite_power7e [lemma, in infinite_power7e]
Ordinals5.infinite_power7f [lemma, in infinite_power7f]
Ordinals5.infinite_power7g [lemma, in infinite_power7g]
Ordinals5.infinite_power7h [lemma, in infinite_power7h]
Ordinals5.infinite_power6_5a [lemma, in infinite_power6_5a]
Ordinals5.infinite_power6_7a [lemma, in infinite_power6_7a]
Ordinals5.infinite_power6_7b [lemma, in infinite_power6_7b]
Ordinals5.infinite_power6_7c [lemma, in infinite_power6_7c]
Ordinals5.infinite_power6_7d [lemma, in infinite_power6_7d]
Ordinals5.infinite_power6_7e [lemma, in infinite_power6_7e]
Ordinals5.infinite_power6_7f [lemma, in infinite_power6_7f]
Ordinals5.infinite_increasing_power5gch [lemma, in infinite_increasing_power5gch]
Ordinals5.infinite_power6_0 [lemma, in infinite_power6_0]
Ordinals5.infinite_power6_1 [lemma, in infinite_power6_1]
Ordinals5.infinite_power6_2 [lemma, in infinite_power6_2]
Ordinals5.infinite_power6_3 [lemma, in infinite_power6_3]
Ordinals5.infinite_power6_4 [lemma, in infinite_power6_4]
Ordinals5.infinite_power6_5 [lemma, in infinite_power6_5]
Ordinals5.infinite_power6_6 [lemma, in infinite_power6_6]
Ordinals5.infinite_prod3 [lemma, in infinite_prod3]
Ordinals5.infinite_prod4 [lemma, in infinite_prod4]
Ordinals5.infinite_prod5 [lemma, in infinite_prod5]
Ordinals5.infinite_prod6 [lemma, in infinite_prod6]
Ordinals5.infinite_power7f1 [lemma, in infinite_power7f1]
Ordinals5.infinite_prod_o1 [lemma, in infinite_prod_o1]
Ordinals5.infinite_prod_pA [lemma, in infinite_prod_pA]
Ordinals5.infinite_prod_pB [lemma, in infinite_prod_pB]
Ordinals5.infinite_prod_pC [lemma, in infinite_prod_pC]
Ordinals5.infinite_prod_pD [lemma, in infinite_prod_pD]
Ordinals5.infinite_prod_pE [lemma, in infinite_prod_pE]
Ordinals5.infinite_prod_pF [lemma, in infinite_prod_pF]
Ordinals5.infinite_prod_pG [lemma, in infinite_prod_pG]
Ordinals5.infinite_prod_pH [lemma, in infinite_prod_pH]
Ordinals5.infinite_prod_pI [lemma, in infinite_prod_pI]
Ordinals5.infinite_power1 [lemma, in infinite_power1]
Ordinals5.infinite_power2 [lemma, in infinite_power2]
Ordinals5.infinite_power3 [lemma, in infinite_power3]
Ordinals5.infinite_power4 [lemma, in infinite_power4]
Ordinals5.infinite_power5 [lemma, in infinite_power5]
Ordinals5.infinite_power6 [lemma, in infinite_power6]
Ordinals5.infinite_power7 [lemma, in infinite_power7]
Ordinals5.infinite_power8 [lemma, in infinite_power8]
Ordinals5.infinite_power9 [lemma, in infinite_power9]
Ordinals5.infinite_prod_pB1 [lemma, in infinite_prod_pB1]
Ordinals5.infinite_prod_pB2 [lemma, in infinite_prod_pB2]
Ordinals5.infinite_power2_bis [lemma, in infinite_power2_bis]
Ordinals5.infinite_power7h_rev [lemma, in infinite_power7h_rev]
Ordinals5.least_non_trivial_dominant [definition, in least_non_trivial_dominant]
Ordinals5.next_dominant_pr [lemma, in next_dominant_pr]
Ordinals5.next_dominant [definition, in next_dominant]
Ordinals5.ord_sup_aleph_sum [lemma, in ord_sup_aleph_sum]
Ordinals5.ord_sup_aleph [lemma, in ord_sup_aleph]
Ordinals5.power_cofinality [lemma, in power_cofinality]
Ordinals5.power_cofinality1 [lemma, in power_cofinality1]
Ordinals5.power_cofinality2 [lemma, in power_cofinality2]
Ordinals5.power_cofinality3 [lemma, in power_cofinality3]
Ordinals5.power_cofinality4 [lemma, in power_cofinality4]
Ordinals5.power_cofinality5 [lemma, in power_cofinality5]
Ordinals5.rel_strong_card [definition, in rel_strong_card]
Ordinals5.SCH_case1 [lemma, in SCH_case1]
Ordinals5.SCH_prop2 [lemma, in SCH_prop2]
Ordinals5.SCH_prop3 [lemma, in SCH_prop3]
Ordinals5.sch_gch [lemma, in sch_gch]
Ordinals5.SingCardHypothesis [definition, in SingCardHypothesis]
Ordinals5.singular_non_collectivizing [lemma, in singular_non_collectivizing]
Ordinals5.the_nondominant_least_pr1 [lemma, in the_nondominant_least_pr1]
Ordinals5.the_nondominant_least_pr2 [lemma, in the_nondominant_least_pr2]
Ordinals5.the_nondominant_least [definition, in the_nondominant_least]
_ ^
P
Pair [module, in Pair]Pair.J [abbreviation, in J]
Pair.kpair [definition, in kpair]
Pair.kpr1 [definition, in kpr1]
Pair.kpr2 [definition, in kpr2]
Pair.P [abbreviation, in P]
Pair.Pair [module, in Pair.Pair]
Pair.pairp [definition, in pairp]
Pair.PairSig [module, in Pair.PairSig]
Pair.PairSig.first_proj [axiom, in first_proj]
Pair.PairSig.kprE [axiom, in kprE]
Pair.PairSig.kpr1E [axiom, in kpr1E]
Pair.PairSig.kpr2E [axiom, in kpr2E]
Pair.PairSig.pair_ctor [axiom, in pair_ctor]
Pair.PairSig.second_proj [axiom, in second_proj]
Pair.pair_is_pair [lemma, in pair_is_pair]
Pair.pair_exten [lemma, in pair_exten]
Pair.Pair.first_proj [definition, in first_proj]
Pair.Pair.kprE [lemma, in kprE]
Pair.Pair.kpr1E [lemma, in kpr1E]
Pair.Pair.kpr2E [lemma, in kpr2E]
Pair.Pair.pair_ctor [definition, in pair_ctor]
Pair.Pair.second_proj [definition, in second_proj]
Pair.pr1_def [lemma, in pr1_def]
Pair.pr1_pair [lemma, in pr1_pair]
Pair.pr2_pair [lemma, in pr2_pair]
Pair.pr2_def [lemma, in pr2_def]
Pair.Q [abbreviation, in Q]
partition_ni_set0 [lemma, in partition_ni_set0]
partition_set0 [lemma, in partition_set0]
pascal11 [lemma, in pascal11]
PolyFormulas [section, in PolyFormulas]
Powerset [module, in Powerset]
Powerset.powerset [definition, in powerset]
Powerset.setP_00 [lemma, in setP_00]
Powerset.setP_0i [lemma, in setP_0i]
Powerset.setP_Ti [lemma, in setP_Ti]
Powerset.setP_hi [lemma, in setP_hi]
Powerset.setP_0 [lemma, in setP_0]
Powerset.setP_1 [lemma, in setP_1]
Powerset.setP_P [lemma, in setP_P]
Powerset.setP_S [lemma, in setP_S]
Powerset.setP_i [lemma, in setP_i]
power_monom [lemma, in power_monom]
prop_inc11 [definition, in prop_inc11]
prop_inc1 [definition, in prop_inc1]
prop_inc2 [definition, in prop_inc2]
prop_when11 [definition, in prop_when11]
prop_when22 [definition, in prop_when22]
prop_when1 [definition, in prop_when1]
prop_when2 [definition, in prop_when2]
P_well_founded_induction_type [lemma, in P_well_founded_induction_type]
R
RationalIntegers [module, in RationalIntegers]RationalIntegers.Bnats [definition, in Bnats]
RationalIntegers.BZ [definition, in BZ]
RationalIntegers.BZabs [definition, in BZabs]
RationalIntegers.BZabs_opp [lemma, in BZabs_opp]
RationalIntegers.BZabs_0 [lemma, in BZabs_0]
RationalIntegers.BZabs_1 [lemma, in BZabs_1]
RationalIntegers.BZabs_pr1 [lemma, in BZabs_pr1]
RationalIntegers.BZabs_pr2 [lemma, in BZabs_pr2]
RationalIntegers.BZabs_pos [lemma, in BZabs_pos]
RationalIntegers.BZabs_sign [lemma, in BZabs_sign]
RationalIntegers.BZabs_abs [lemma, in BZabs_abs]
RationalIntegers.BZabs_0p [lemma, in BZabs_0p]
RationalIntegers.BZabs_positive [lemma, in BZabs_positive]
RationalIntegers.BZabs_iN [lemma, in BZabs_iN]
RationalIntegers.BZabs_m1 [lemma, in BZabs_m1]
RationalIntegers.BZabs_neg [lemma, in BZabs_neg]
RationalIntegers.BZdiff [definition, in BZdiff]
RationalIntegers.BZdiffProps [section, in BZdiffProps]
RationalIntegers.BZdiffProps.x [variable, in x]
RationalIntegers.BZdiffProps.xz [variable, in xz]
RationalIntegers.BZdiffProps.y [variable, in y]
RationalIntegers.BZdiffProps.yz [variable, in yz]
RationalIntegers.BZdiffProps.z [variable, in z]
RationalIntegers.BZdiffProps.zz [variable, in zz]
RationalIntegers.BZdiffProps2 [section, in BZdiffProps2]
RationalIntegers.BZdiffProps2.x [variable, in x]
RationalIntegers.BZdiffProps2.xz [variable, in xz]
RationalIntegers.BZdiffProps2.y [variable, in y]
RationalIntegers.BZdiffProps2.yz [variable, in yz]
RationalIntegers.BZdiffProps2.z [variable, in z]
RationalIntegers.BZdiffProps2.zz [variable, in zz]
RationalIntegers.BZdiff_sum_simpl_l [lemma, in BZdiff_sum_simpl_l]
RationalIntegers.BZdiff_sum_simpl_r [lemma, in BZdiff_sum_simpl_r]
RationalIntegers.BZdiff_succ_l [lemma, in BZdiff_succ_l]
RationalIntegers.BZdiff_diag [lemma, in BZdiff_diag]
RationalIntegers.BZdiff_sum_comm [lemma, in BZdiff_sum_comm]
RationalIntegers.BZdiff_sum [lemma, in BZdiff_sum]
RationalIntegers.BZdiff_diag_rw [lemma, in BZdiff_diag_rw]
RationalIntegers.BZdiff_0l [lemma, in BZdiff_0l]
RationalIntegers.BZdiff_0r [lemma, in BZdiff_0r]
RationalIntegers.BZdivides [definition, in BZdivides]
RationalIntegers.BZdivision_opp_a2 [lemma, in BZdivision_opp_a2]
RationalIntegers.BZdivision_prop [definition, in BZdivision_prop]
RationalIntegers.BZdvdordering [definition, in BZdvdordering]
RationalIntegers.BZdvdordering_gle [lemma, in BZdvdordering_gle]
RationalIntegers.BZdvdordering_or [lemma, in BZdvdordering_or]
RationalIntegers.BZdvdordering_sr [lemma, in BZdvdordering_sr]
RationalIntegers.BZdvds_trans [lemma, in BZdvds_trans]
RationalIntegers.BZdvds_mone [lemma, in BZdvds_mone]
RationalIntegers.BZdvds_monotone [lemma, in BZdvds_monotone]
RationalIntegers.BZdvds_opp1 [lemma, in BZdvds_opp1]
RationalIntegers.BZdvds_opp2 [lemma, in BZdvds_opp2]
RationalIntegers.BZdvds_pr1' [lemma, in BZdvds_pr1']
RationalIntegers.BZdvds_pr6' [lemma, in BZdvds_pr6']
RationalIntegers.BZdvds_pr [lemma, in BZdvds_pr]
RationalIntegers.BZdvds_one [lemma, in BZdvds_one]
RationalIntegers.BZdvds_prod [lemma, in BZdvds_prod]
RationalIntegers.BZdvds_pr0 [lemma, in BZdvds_pr0]
RationalIntegers.BZdvds_pr1 [lemma, in BZdvds_pr1]
RationalIntegers.BZdvds_pr3 [lemma, in BZdvds_pr3]
RationalIntegers.BZdvds_pr4 [lemma, in BZdvds_pr4]
RationalIntegers.BZdvds_pr5 [lemma, in BZdvds_pr5]
RationalIntegers.BZdvds_pr6 [lemma, in BZdvds_pr6]
RationalIntegers.BZdvds_trans1 [lemma, in BZdvds_trans1]
RationalIntegers.BZdvds_trans2 [lemma, in BZdvds_trans2]
RationalIntegers.BZdvd_zero1 [lemma, in BZdvd_zero1]
RationalIntegers.BZdvd_inf [lemma, in BZdvd_inf]
RationalIntegers.BZdvd_correct [lemma, in BZdvd_correct]
RationalIntegers.BZdvd_exact [lemma, in BZdvd_exact]
RationalIntegers.BZdvd_itself [lemma, in BZdvd_itself]
RationalIntegers.BZdvd_opp [lemma, in BZdvd_opp]
RationalIntegers.BZdvd_lattice [lemma, in BZdvd_lattice]
RationalIntegers.BZdvd_pr2 [lemma, in BZdvd_pr2]
RationalIntegers.BZdvd_and_diff [lemma, in BZdvd_and_diff]
RationalIntegers.BZdvd_unique1 [lemma, in BZdvd_unique1]
RationalIntegers.BZdvd_and_sum [lemma, in BZdvd_and_sum]
RationalIntegers.BZdvd_sup [lemma, in BZdvd_sup]
RationalIntegers.BZdvd_unique [lemma, in BZdvd_unique]
RationalIntegers.BZdvd_lattice_aux [lemma, in BZdvd_lattice_aux]
RationalIntegers.BZgcd [definition, in BZgcd]
RationalIntegers.BZgcd_rem [lemma, in BZgcd_rem]
RationalIntegers.BZgcd_div [lemma, in BZgcd_div]
RationalIntegers.BZgcd_zero [lemma, in BZgcd_zero]
RationalIntegers.BZgcd_id [lemma, in BZgcd_id]
RationalIntegers.BZgcd_nz [lemma, in BZgcd_nz]
RationalIntegers.BZgcd_diff [lemma, in BZgcd_diff]
RationalIntegers.BZgcd_prodD [lemma, in BZgcd_prodD]
RationalIntegers.BZgcd_prop1 [lemma, in BZgcd_prop1]
RationalIntegers.BZgcd_prop2 [lemma, in BZgcd_prop2]
RationalIntegers.BZgcd_prop3 [lemma, in BZgcd_prop3]
RationalIntegers.BZgcd_simp [lemma, in BZgcd_simp]
RationalIntegers.BZgcd_nz1 [lemma, in BZgcd_nz1]
RationalIntegers.BZgcd_A [lemma, in BZgcd_A]
RationalIntegers.BZgcd_C [lemma, in BZgcd_C]
RationalIntegers.BZgcd_opp [lemma, in BZgcd_opp]
RationalIntegers.BZlcm [definition, in BZlcm]
RationalIntegers.BZlcm_zero [lemma, in BZlcm_zero]
RationalIntegers.BZlcm_nonzero [lemma, in BZlcm_nonzero]
RationalIntegers.BZlcm_prop1 [lemma, in BZlcm_prop1]
RationalIntegers.BZlcm_prop2 [lemma, in BZlcm_prop2]
RationalIntegers.BZm [definition, in BZm]
RationalIntegers.BZms [definition, in BZms]
RationalIntegers.BZmsS_sum_rl [lemma, in BZmsS_sum_rl]
RationalIntegers.BZmsS_sum_l [lemma, in BZmsS_sum_l]
RationalIntegers.BZmsS_sum_r [lemma, in BZmsS_sum_r]
RationalIntegers.BZmsS_m1 [lemma, in BZmsS_m1]
RationalIntegers.BZmsuS_prod [lemma, in BZmsuS_prod]
RationalIntegers.BZms_hi_pr [lemma, in BZms_hi_pr]
RationalIntegers.BZms_pr2 [lemma, in BZms_pr2]
RationalIntegers.BZms_i [lemma, in BZms_i]
RationalIntegers.BZmS_sum [lemma, in BZmS_sum]
RationalIntegers.BZms_iP [lemma, in BZms_iP]
RationalIntegers.BZms_nz [lemma, in BZms_nz]
RationalIntegers.BZmS0 [lemma, in BZmS0]
RationalIntegers.BZmuS_prod [lemma, in BZmuS_prod]
RationalIntegers.BZm_of_nat_pr1 [lemma, in BZm_of_nat_pr1]
RationalIntegers.BZm_hi_pr [lemma, in BZm_hi_pr]
RationalIntegers.BZm_of_nat_i [lemma, in BZm_of_nat_i]
RationalIntegers.BZm_of_natm_i [lemma, in BZm_of_natm_i]
RationalIntegers.BZm_of_natms_i [lemma, in BZm_of_natms_i]
RationalIntegers.BZm_of_nat_inj_bis [lemma, in BZm_of_nat_inj_bis]
RationalIntegers.BZm_of_nat [definition, in BZm_of_nat]
RationalIntegers.BZm_of_nat_inj [lemma, in BZm_of_nat_inj]
RationalIntegers.BZnon_zero_opp [lemma, in BZnon_zero_opp]
RationalIntegers.BZopp [definition, in BZopp]
RationalIntegers.BZopp_diff [lemma, in BZopp_diff]
RationalIntegers.BZopp_inj [lemma, in BZopp_inj]
RationalIntegers.BZopp_0 [lemma, in BZopp_0]
RationalIntegers.BZopp_1 [lemma, in BZopp_1]
RationalIntegers.BZopp_K [lemma, in BZopp_K]
RationalIntegers.BZopp_m [lemma, in BZopp_m]
RationalIntegers.BZopp_p [lemma, in BZopp_p]
RationalIntegers.BZopp_fb [lemma, in BZopp_fb]
RationalIntegers.BZopp_m1 [lemma, in BZopp_m1]
RationalIntegers.BZopp_pr1 [lemma, in BZopp_pr1]
RationalIntegers.BZopp_pr2 [lemma, in BZopp_pr2]
RationalIntegers.BZopp_prod_l [lemma, in BZopp_prod_l]
RationalIntegers.BZopp_prod_r [lemma, in BZopp_prod_r]
RationalIntegers.BZopp_negative1 [lemma, in BZopp_negative1]
RationalIntegers.BZopp_negative2 [lemma, in BZopp_negative2]
RationalIntegers.BZopp_positive1 [lemma, in BZopp_positive1]
RationalIntegers.BZopp_positive2 [lemma, in BZopp_positive2]
RationalIntegers.BZopp_fun [definition, in BZopp_fun]
RationalIntegers.BZor_or [lemma, in BZor_or]
RationalIntegers.BZor_sr [lemma, in BZor_sr]
RationalIntegers.BZor_tor [lemma, in BZor_tor]
RationalIntegers.BZp [definition, in BZp]
RationalIntegers.BZpmsS_prod [lemma, in BZpmsS_prod]
RationalIntegers.BZpmS_prod [lemma, in BZpmS_prod]
RationalIntegers.BZprec_N [lemma, in BZprec_N]
RationalIntegers.BZpred [definition, in BZpred]
RationalIntegers.BZpred_sum [lemma, in BZpred_sum]
RationalIntegers.BZpred_succ [lemma, in BZpred_succ]
RationalIntegers.BZprod [definition, in BZprod]
RationalIntegers.BZprodA [lemma, in BZprodA]
RationalIntegers.BZprodC [lemma, in BZprodC]
RationalIntegers.BZprodt_succ_l [lemma, in BZprodt_succ_l]
RationalIntegers.BZprod_Mltltle0 [lemma, in BZprod_Mltltle0]
RationalIntegers.BZprod_Mltgt0 [lemma, in BZprod_Mltgt0]
RationalIntegers.BZprod_Mltpp [lemma, in BZprod_Mltpp]
RationalIntegers.BZprod_sumDl [lemma, in BZprod_sumDl]
RationalIntegers.BZprod_sumDr [lemma, in BZprod_sumDr]
RationalIntegers.BZprod_m1l [lemma, in BZprod_m1l]
RationalIntegers.BZprod_m1r [lemma, in BZprod_m1r]
RationalIntegers.BZprod_1_inversion_more [lemma, in BZprod_1_inversion_more]
RationalIntegers.BZprod_Mlepp [lemma, in BZprod_Mlepp]
RationalIntegers.BZprod_opp_opp [lemma, in BZprod_opp_opp]
RationalIntegers.BZprod_Mltlt0 [lemma, in BZprod_Mltlt0]
RationalIntegers.BZprod_opp_comm [lemma, in BZprod_opp_comm]
RationalIntegers.BZprod_sign_aux [definition, in BZprod_sign_aux]
RationalIntegers.BZprod_0l [lemma, in BZprod_0l]
RationalIntegers.BZprod_0r [lemma, in BZprod_0r]
RationalIntegers.BZprod_1l [lemma, in BZprod_1l]
RationalIntegers.BZprod_Mpp [lemma, in BZprod_Mpp]
RationalIntegers.BZprod_1r [lemma, in BZprod_1r]
RationalIntegers.BZprod_pr1 [lemma, in BZprod_pr1]
RationalIntegers.BZprod_succ_r [lemma, in BZprod_succ_r]
RationalIntegers.BZprod_reg_l [lemma, in BZprod_reg_l]
RationalIntegers.BZprod_reg_r [lemma, in BZprod_reg_r]
RationalIntegers.BZprod_permute_2_in_4 [lemma, in BZprod_permute_2_in_4]
RationalIntegers.BZprod_abs [lemma, in BZprod_abs]
RationalIntegers.BZprod_abs2 [lemma, in BZprod_abs2]
RationalIntegers.BZprod_Mlege0 [lemma, in BZprod_Mlege0]
RationalIntegers.BZprod_Mlelege0 [lemma, in BZprod_Mlelege0]
RationalIntegers.BZprod_aux [lemma, in BZprod_aux]
RationalIntegers.BZprod_1_inversion_l [lemma, in BZprod_1_inversion_l]
RationalIntegers.BZprod_sign [lemma, in BZprod_sign]
RationalIntegers.BZprod_mm [lemma, in BZprod_mm]
RationalIntegers.BZprod_mp [lemma, in BZprod_mp]
RationalIntegers.BZprod_Mlegt0 [lemma, in BZprod_Mlegt0]
RationalIntegers.BZprod_nz [lemma, in BZprod_nz]
RationalIntegers.BZprod_pm [lemma, in BZprod_pm]
RationalIntegers.BZprod_pp [lemma, in BZprod_pp]
RationalIntegers.BZprod_Mltltgt0 [lemma, in BZprod_Mltltgt0]
RationalIntegers.BZprod_Mlele0 [lemma, in BZprod_Mlele0]
RationalIntegers.BZprod_diff_Dl [lemma, in BZprod_diff_Dl]
RationalIntegers.BZprod_diff_Dr [lemma, in BZprod_diff_Dr]
RationalIntegers.BZprod_Mltgt00 [lemma, in BZprod_Mltgt00]
RationalIntegers.BZps [definition, in BZps]
RationalIntegers.BZpsS_sum_l [lemma, in BZpsS_sum_l]
RationalIntegers.BZpsS_sum_r [lemma, in BZpsS_sum_r]
RationalIntegers.BZpsS_sum_rl [lemma, in BZpsS_sum_rl]
RationalIntegers.BZpsS_gcd [lemma, in BZpsS_gcd]
RationalIntegers.BZpsS_prod [lemma, in BZpsS_prod]
RationalIntegers.BZpsS_lcm [lemma, in BZpsS_lcm]
RationalIntegers.BZps_pr2 [lemma, in BZps_pr2]
RationalIntegers.BZpS_quo [lemma, in BZpS_quo]
RationalIntegers.BZpS_rem [lemma, in BZpS_rem]
RationalIntegers.BZpS_sum [lemma, in BZpS_sum]
RationalIntegers.BZps_iP [lemma, in BZps_iP]
RationalIntegers.BZps_nz [lemma, in BZps_nz]
RationalIntegers.BZpS_prod [lemma, in BZpS_prod]
RationalIntegers.BZpS_gcd [lemma, in BZpS_gcd]
RationalIntegers.BZps_pr1nz [lemma, in BZps_pr1nz]
RationalIntegers.BZps_stable_prod1 [lemma, in BZps_stable_prod1]
RationalIntegers.BZpS0 [lemma, in BZpS0]
RationalIntegers.BZps1 [lemma, in BZps1]
RationalIntegers.BZp_pr2 [lemma, in BZp_pr2]
RationalIntegers.BZp_i [lemma, in BZp_i]
RationalIntegers.BZp_hi_pr [lemma, in BZp_hi_pr]
RationalIntegers.BZquo [definition, in BZquo]
RationalIntegers.BZquo_div1 [lemma, in BZquo_div1]
RationalIntegers.BZquo_opp_a1 [lemma, in BZquo_opp_a1]
RationalIntegers.BZquo_simplify [lemma, in BZquo_simplify]
RationalIntegers.BZquo_mone [lemma, in BZquo_mone]
RationalIntegers.BZquo_opp2 [lemma, in BZquo_opp2]
RationalIntegers.BZquo_opp_b [lemma, in BZquo_opp_b]
RationalIntegers.BZquo_one [lemma, in BZquo_one]
RationalIntegers.BZquo_pr1 [lemma, in BZquo_pr1]
RationalIntegers.BZrem [definition, in BZrem]
RationalIntegers.BZrem_opp_b [lemma, in BZrem_opp_b]
RationalIntegers.BZrem_small [lemma, in BZrem_small]
RationalIntegers.BZrem_div1 [lemma, in BZrem_div1]
RationalIntegers.BZSa [lemma, in BZSa]
RationalIntegers.BZsign [definition, in BZsign]
RationalIntegers.BZsign_neg [lemma, in BZsign_neg]
RationalIntegers.BZsign_trichotomy [lemma, in BZsign_trichotomy]
RationalIntegers.BZsign_pos [lemma, in BZsign_pos]
RationalIntegers.BZsign_abs [lemma, in BZsign_abs]
RationalIntegers.BZsign_0 [lemma, in BZsign_0]
RationalIntegers.BZSm1 [lemma, in BZSm1]
RationalIntegers.BZSo [lemma, in BZSo]
RationalIntegers.BZSp [lemma, in BZSp]
RationalIntegers.BZSs [lemma, in BZSs]
RationalIntegers.BZsucc [definition, in BZsucc]
RationalIntegers.BZsucc_disc [lemma, in BZsucc_disc]
RationalIntegers.BZsucc_sum [lemma, in BZsucc_sum]
RationalIntegers.BZsucc_N [lemma, in BZsucc_N]
RationalIntegers.BZsucc_pred [lemma, in BZsucc_pred]
RationalIntegers.BZsum [definition, in BZsum]
RationalIntegers.BZsumA [lemma, in BZsumA]
RationalIntegers.BZsumC [lemma, in BZsumC]
RationalIntegers.BZsum_Mltge0 [lemma, in BZsum_Mltge0]
RationalIntegers.BZsum_N_Ns [lemma, in BZsum_N_Ns]
RationalIntegers.BZsum_Mltgt0 [lemma, in BZsum_Mltgt0]
RationalIntegers.BZsum_opp_l [lemma, in BZsum_opp_l]
RationalIntegers.BZsum_opp_r [lemma, in BZsum_opp_r]
RationalIntegers.BZsum_0l [lemma, in BZsum_0l]
RationalIntegers.BZsum_0r [lemma, in BZsum_0r]
RationalIntegers.BZsum_permute_2_in_4 [lemma, in BZsum_permute_2_in_4]
RationalIntegers.BZsum_Mltle0 [lemma, in BZsum_Mltle0]
RationalIntegers.BZsum_diff_ea [lemma, in BZsum_diff_ea]
RationalIntegers.BZsum_Mltlt0 [lemma, in BZsum_Mltlt0]
RationalIntegers.BZsum_opp_distr [lemma, in BZsum_opp_distr]
RationalIntegers.BZsum_mm [lemma, in BZsum_mm]
RationalIntegers.BZsum_pm [lemma, in BZsum_pm]
RationalIntegers.BZsum_pp [lemma, in BZsum_pp]
RationalIntegers.BZsum_xx [lemma, in BZsum_xx]
RationalIntegers.BZsum_Mlteq [lemma, in BZsum_Mlteq]
RationalIntegers.BZsum_Mltle [lemma, in BZsum_Mltle]
RationalIntegers.BZsum_Mltlt [lemma, in BZsum_Mltlt]
RationalIntegers.BZsum_pm1 [lemma, in BZsum_pm1]
RationalIntegers.BZsum_pm2 [lemma, in BZsum_pm2]
RationalIntegers.BZsum_Mleeq [lemma, in BZsum_Mleeq]
RationalIntegers.BZsum_Mlege0 [lemma, in BZsum_Mlege0]
RationalIntegers.BZsum_Mlele [lemma, in BZsum_Mlele]
RationalIntegers.BZsum_Mlelt [lemma, in BZsum_Mlelt]
RationalIntegers.BZsum_Mlegt0 [lemma, in BZsum_Mlegt0]
RationalIntegers.BZsum_Meqle [lemma, in BZsum_Meqle]
RationalIntegers.BZsum_Meqlt [lemma, in BZsum_Meqlt]
RationalIntegers.BZsum_diff [lemma, in BZsum_diff]
RationalIntegers.BZsum_Mlele0 [lemma, in BZsum_Mlele0]
RationalIntegers.BZsum_Mlelt0 [lemma, in BZsum_Mlelt0]
RationalIntegers.BZsum_reg_l [lemma, in BZsum_reg_l]
RationalIntegers.BZsum_reg_r [lemma, in BZsum_reg_r]
RationalIntegers.BZS_gcd [lemma, in BZS_gcd]
RationalIntegers.BZS_sign [lemma, in BZS_sign]
RationalIntegers.BZS_lcm [lemma, in BZS_lcm]
RationalIntegers.BZS_pred [lemma, in BZS_pred]
RationalIntegers.BZS_quo [lemma, in BZS_quo]
RationalIntegers.BZS_rem [lemma, in BZS_rem]
RationalIntegers.BZS_diff [lemma, in BZS_diff]
RationalIntegers.BZS_succ [lemma, in BZS_succ]
RationalIntegers.BZS0 [lemma, in BZS0]
RationalIntegers.BZS1 [lemma, in BZS1]
RationalIntegers.BZS2 [lemma, in BZS2]
RationalIntegers.BZS3 [lemma, in BZS3]
RationalIntegers.BZS4 [lemma, in BZS4]
RationalIntegers.BZ_of_natp_i [lemma, in BZ_of_natp_i]
RationalIntegers.BZ_induction_neg [lemma, in BZ_induction_neg]
RationalIntegers.BZ_lt_opp [lemma, in BZ_lt_opp]
RationalIntegers.BZ_one [definition, in BZ_one]
RationalIntegers.BZ_gcd_abs [lemma, in BZ_gcd_abs]
RationalIntegers.BZ_sum_Mm [lemma, in BZ_sum_Mm]
RationalIntegers.BZ_sum_Mp [lemma, in BZ_sum_Mp]
RationalIntegers.BZ_le_opp_iso [lemma, in BZ_le_opp_iso]
RationalIntegers.BZ_positive_quo_gcd [lemma, in BZ_positive_quo_gcd]
RationalIntegers.BZ_of_Z_inc [lemma, in BZ_of_Z_inc]
RationalIntegers.BZ_one_not_zero [lemma, in BZ_one_not_zero]
RationalIntegers.BZ_pr1 [lemma, in BZ_pr1]
RationalIntegers.BZ_pr2 [lemma, in BZ_pr2]
RationalIntegers.BZ_di_neg_spos [lemma, in BZ_di_neg_spos]
RationalIntegers.BZ_le_ltT [lemma, in BZ_le_ltT]
RationalIntegers.BZ_is_ideal2 [lemma, in BZ_is_ideal2]
RationalIntegers.BZ_N_worder [lemma, in BZ_N_worder]
RationalIntegers.BZ_induction_pos [lemma, in BZ_induction_pos]
RationalIntegers.BZ_le_triangular [lemma, in BZ_le_triangular]
RationalIntegers.BZ_Bezout [definition, in BZ_Bezout]
RationalIntegers.BZ_of_Z_le [lemma, in BZ_of_Z_le]
RationalIntegers.BZ_of_Z_lt [lemma, in BZ_of_Z_lt]
RationalIntegers.BZ_negative_P [lemma, in BZ_negative_P]
RationalIntegers.BZ_of_Z_pred [lemma, in BZ_of_Z_pred]
RationalIntegers.BZ_gcd_unq [lemma, in BZ_gcd_unq]
RationalIntegers.BZ_lt_diffP1 [lemma, in BZ_lt_diffP1]
RationalIntegers.BZ_lt_diffP2 [lemma, in BZ_lt_diffP2]
RationalIntegers.BZ_order_aux [lemma, in BZ_order_aux]
RationalIntegers.BZ_of_Z_prod [lemma, in BZ_of_Z_prod]
RationalIntegers.BZ_lt_succ [lemma, in BZ_lt_succ]
RationalIntegers.BZ_three [definition, in BZ_three]
RationalIntegers.BZ_ordering [definition, in BZ_ordering]
RationalIntegers.BZ_quorem0 [lemma, in BZ_quorem0]
RationalIntegers.BZ_le_opp [lemma, in BZ_le_opp]
RationalIntegers.BZ_mone [definition, in BZ_mone]
RationalIntegers.BZ_of_Z_neg [lemma, in BZ_of_Z_neg]
RationalIntegers.BZ_quorem00 [lemma, in BZ_quorem00]
RationalIntegers.BZ_idealS_diff [lemma, in BZ_idealS_diff]
RationalIntegers.BZ_di_pos_neg [lemma, in BZ_di_pos_neg]
RationalIntegers.BZ_di_neg_pos [lemma, in BZ_di_neg_pos]
RationalIntegers.BZ_two [definition, in BZ_two]
RationalIntegers.BZ_le_to_ell [lemma, in BZ_le_to_ell]
RationalIntegers.BZ_le_pr2 [lemma, in BZ_le_pr2]
RationalIntegers.BZ_of_Z_injective [lemma, in BZ_of_Z_injective]
RationalIntegers.BZ_le_pr4 [lemma, in BZ_le_pr4]
RationalIntegers.BZ_le_pr5 [lemma, in BZ_le_pr5]
RationalIntegers.BZ_of_nat_pr1 [lemma, in BZ_of_nat_pr1]
RationalIntegers.BZ_of_Z_opp [lemma, in BZ_of_Z_opp]
RationalIntegers.BZ_exists_Bezout1 [lemma, in BZ_exists_Bezout1]
RationalIntegers.BZ_exists_Bezout2 [lemma, in BZ_exists_Bezout2]
RationalIntegers.BZ_exists_Bezout3 [lemma, in BZ_exists_Bezout3]
RationalIntegers.BZ_exists_Bezout5 [lemma, in BZ_exists_Bezout5]
RationalIntegers.BZ_order_isomorphism_P [lemma, in BZ_order_isomorphism_P]
RationalIntegers.BZ_le_abs [lemma, in BZ_le_abs]
RationalIntegers.BZ_ideal_0P [lemma, in BZ_ideal_0P]
RationalIntegers.BZ_of_nat_i [lemma, in BZ_of_nat_i]
RationalIntegers.BZ_nz_quo_gcd [lemma, in BZ_nz_quo_gcd]
RationalIntegers.BZ_i0P [lemma, in BZ_i0P]
RationalIntegers.BZ_i1P [lemma, in BZ_i1P]
RationalIntegers.BZ_i2P [lemma, in BZ_i2P]
RationalIntegers.BZ_idealS_opp [lemma, in BZ_idealS_opp]
RationalIntegers.BZ_of_nat [definition, in BZ_of_nat]
RationalIntegers.BZ_ideal [definition, in BZ_ideal]
RationalIntegers.BZ_of_Z_abs [lemma, in BZ_of_Z_abs]
RationalIntegers.BZ_of_Z_surjective [lemma, in BZ_of_Z_surjective]
RationalIntegers.BZ_of_Z_diff [lemma, in BZ_of_Z_diff]
RationalIntegers.BZ_le_P0 [lemma, in BZ_le_P0]
RationalIntegers.BZ_le_P1 [lemma, in BZ_le_P1]
RationalIntegers.BZ_le_P3 [lemma, in BZ_le_P3]
RationalIntegers.BZ_le_P6 [lemma, in BZ_le_P6]
RationalIntegers.BZ_le_P [lemma, in BZ_le_P]
RationalIntegers.BZ_Z_m1 [lemma, in BZ_Z_m1]
RationalIntegers.BZ_lt_diffP [lemma, in BZ_lt_diffP]
RationalIntegers.BZ_of_Z_aux [definition, in BZ_of_Z_aux]
RationalIntegers.BZ_lt_oppP [lemma, in BZ_lt_oppP]
RationalIntegers.BZ_idealS_rem [lemma, in BZ_idealS_rem]
RationalIntegers.BZ_idealS_abs [lemma, in BZ_idealS_abs]
RationalIntegers.BZ_of_Z_sum [lemma, in BZ_of_Z_sum]
RationalIntegers.BZ_le_to_ee [lemma, in BZ_le_to_ee]
RationalIntegers.BZ_le_to_el [lemma, in BZ_le_to_el]
RationalIntegers.BZ_of_Z_succ [lemma, in BZ_of_Z_succ]
RationalIntegers.BZ_four [definition, in BZ_four]
RationalIntegers.BZ_ind [lemma, in BZ_ind]
RationalIntegers.BZ_le_diffP1 [lemma, in BZ_le_diffP1]
RationalIntegers.BZ_ideal1 [definition, in BZ_ideal1]
RationalIntegers.BZ_ideal2 [definition, in BZ_ideal2]
RationalIntegers.BZ_coprime [definition, in BZ_coprime]
RationalIntegers.BZ_of_Z_aux_bijection [lemma, in BZ_of_Z_aux_bijection]
RationalIntegers.BZ_Z_0 [lemma, in BZ_Z_0]
RationalIntegers.BZ_Z_1 [lemma, in BZ_Z_1]
RationalIntegers.BZ_principal [lemma, in BZ_principal]
RationalIntegers.BZ_positive_P1 [lemma, in BZ_positive_P1]
RationalIntegers.BZ_lt_pred [lemma, in BZ_lt_pred]
RationalIntegers.BZ_lt_succ1P [lemma, in BZ_lt_succ1P]
RationalIntegers.BZ_lt_leT [lemma, in BZ_lt_leT]
RationalIntegers.BZ_negative_P1 [lemma, in BZ_negative_P1]
RationalIntegers.BZ_leA [lemma, in BZ_leA]
RationalIntegers.BZ_lcm_prop3 [lemma, in BZ_lcm_prop3]
RationalIntegers.BZ_leR [lemma, in BZ_leR]
RationalIntegers.BZ_leT [lemma, in BZ_leT]
RationalIntegers.BZ_le [definition, in BZ_le]
RationalIntegers.BZ_lt [definition, in BZ_lt]
RationalIntegers.BZ_sum_Mms [lemma, in BZ_sum_Mms]
RationalIntegers.BZ_ind1 [lemma, in BZ_ind1]
RationalIntegers.BZ_mone_not_zero [lemma, in BZ_mone_not_zero]
RationalIntegers.BZ_sum_Mps [lemma, in BZ_sum_Mps]
RationalIntegers.BZ_ideal_unique_gen1 [lemma, in BZ_ideal_unique_gen1]
RationalIntegers.BZ_positive_P [lemma, in BZ_positive_P]
RationalIntegers.BZ_0_if_abs0 [lemma, in BZ_0_if_abs0]
RationalIntegers.BZ_of_Z [definition, in BZ_of_Z]
RationalIntegers.BZ_hi_pr [lemma, in BZ_hi_pr]
RationalIntegers.BZ_of_nat_inj [lemma, in BZ_of_nat_inj]
RationalIntegers.BZ_in_ideal1 [lemma, in BZ_in_ideal1]
RationalIntegers.BZ_in_ideal3 [lemma, in BZ_in_ideal3]
RationalIntegers.BZ_in_ideal4 [lemma, in BZ_in_ideal4]
RationalIntegers.BZ_zero [definition, in BZ_zero]
RationalIntegers.BZ_ideal_unique_gen [lemma, in BZ_ideal_unique_gen]
RationalIntegers.BZ_le_lt_not [lemma, in BZ_le_lt_not]
RationalIntegers.BZ_lt_P1 [lemma, in BZ_lt_P1]
RationalIntegers.BZ_of_Z_sign [lemma, in BZ_of_Z_sign]
RationalIntegers.BZ_le_diffP [lemma, in BZ_le_diffP]
RationalIntegers.BZ_order_aux1 [lemma, in BZ_order_aux1]
RationalIntegers.BZ0_pr1 [lemma, in BZ0_pr1]
RationalIntegers.BZ0_pr2 [lemma, in BZ0_pr2]
RationalIntegers.BZ1_small [lemma, in BZ1_small]
RationalIntegers.Conversions [section, in Conversions]
RationalIntegers.equipotent_Bnats_Bnat [lemma, in equipotent_Bnats_Bnat]
RationalIntegers.infinite_countable_Z [lemma, in infinite_countable_Z]
RationalIntegers.positive_non_zero1 [lemma, in positive_non_zero1]
RationalIntegers.positive_non_zero2 [lemma, in positive_non_zero2]
RationalIntegers.positive_non_zero2bis [lemma, in positive_non_zero2bis]
RationalIntegers.sub_BZms_BZ [lemma, in sub_BZms_BZ]
RationalIntegers.sub_BZps_BZp [lemma, in sub_BZps_BZp]
RationalIntegers.sub_BZps_BZ [lemma, in sub_BZps_BZ]
RationalIntegers.sub_BZm_BZ [lemma, in sub_BZm_BZ]
RationalIntegers.sub_BZp_BZ [lemma, in sub_BZp_BZ]
RationalIntegers.sub_BZms_BZm [lemma, in sub_BZms_BZm]
RationalIntegers.Z_of_BZ_zero [lemma, in Z_of_BZ_zero]
RationalIntegers.Z_of_BZ [definition, in Z_of_BZ]
RationalIntegers.Z_of_BZ_pa [lemma, in Z_of_BZ_pa]
RationalIntegers.Z_of_BZ_pb [lemma, in Z_of_BZ_pb]
RationalIntegers.Z_of_BZ_mone [lemma, in Z_of_BZ_mone]
RationalIntegers.Z_of_BZ_one [lemma, in Z_of_BZ_one]
_ +z _ [notation, in ::x_'+z'_x]
_ %/z _ [notation, in ::x_'%/z'_x]
_ *z _ [notation, in ::x_'*z'_x]
_ %|z _ [notation, in ::x_'%|z'_x]
_ %%z _ [notation, in ::x_'%%z'_x]
_
_ <=z _ [notation, in ::x_'<=z'_x]
_ -z _ [notation, in ::x_'-z'_x]
\0z [notation, in ::'\0z']
\1mz [notation, in ::'\1mz']
\1z [notation, in ::'\1z']
\2z [notation, in ::'\2z']
\3z [notation, in ::'\3z']
\4z [notation, in ::'\4z']
Realisation [module, in Realisation]
Realisation.AC_variants [lemma, in AC_variants]
Realisation.AF_ordinal [lemma, in AF_ordinal]
Realisation.AF_infinite_seq [lemma, in AF_infinite_seq]
Realisation.AF_irreflexive [lemma, in AF_irreflexive]
Realisation.AF_universe [lemma, in AF_universe]
Realisation.AF_asymmetric [lemma, in AF_asymmetric]
Realisation.AF_universe' [lemma, in AF_universe']
Realisation.cardinalU [definition, in cardinalU]
Realisation.choiceA [definition, in choiceA]
Realisation.comprehensionA [definition, in comprehensionA]
Realisation.comprehensionA_pr [definition, in comprehensionA_pr]
Realisation.doubletonU [definition, in doubletonU]
Realisation.emptysetA_pr [definition, in emptysetA_pr]
Realisation.emptysetU [definition, in emptysetU]
Realisation.equipotentU [definition, in equipotentU]
Realisation.extensionalityA [definition, in extensionalityA]
Realisation.finite_depth [definition, in finite_depth]
Realisation.Foundation [section, in Foundation]
Realisation.foundationA [definition, in foundationA]
Realisation.foundation_prop [definition, in foundation_prop]
Realisation.foundation_axiom [definition, in foundation_axiom]
Realisation.Foundation.AF [variable, in AF]
Realisation.funimageU [definition, in funimageU]
Realisation.funsetU [definition, in funsetU]
Realisation.hereditarily_finite_pr [lemma, in hereditarily_finite_pr]
Realisation.hereditarily_finite [definition, in hereditarily_finite]
Realisation.inaccessibleU [definition, in inaccessibleU]
Realisation.InaccessibleUniverse [section, in InaccessibleUniverse]
Realisation.InaccessibleUniverse.a [variable, in a]
Realisation.InaccessibleUniverse.ia [variable, in ia]
Realisation.infiniteA [definition, in infiniteA]
Realisation.infinite_depth_prop [lemma, in infinite_depth_prop]
Realisation.intersectionU2 [definition, in intersectionU2]
Realisation.is_in_universe [definition, in is_in_universe]
Realisation.ModelTheory [section, in ModelTheory]
Realisation.ModelTheory.R [variable, in R]
Realisation.ModelTheory.U [variable, in U]
Realisation.model_union [lemma, in model_union]
Realisation.model_replacement_comprehension [lemma, in model_replacement_comprehension]
Realisation.model_uniqueness [lemma, in model_uniqueness]
Realisation.model_existence [lemma, in model_existence]
Realisation.model_existence2 [lemma, in model_existence2]
Realisation.ordinalU [definition, in ordinalU]
Realisation.OS_urank [lemma, in OS_urank]
Realisation.pairA [definition, in pairA]
Realisation.pairA_pr [definition, in pairA_pr]
Realisation.powersetA [definition, in powersetA]
Realisation.powersetA_pr [definition, in powersetA_pr]
Realisation.powersetU [definition, in powersetU]
Realisation.powerU [definition, in powerU]
Realisation.powerU_pr [definition, in powerU_pr]
Realisation.rec_finite [definition, in rec_finite]
Realisation.replacementA [definition, in replacementA]
Realisation.replacementA_pr [definition, in replacementA_pr]
Realisation.rept_union [definition, in rept_union]
Realisation.rept_union_inc2 [lemma, in rept_union_inc2]
Realisation.rept_union_pr [lemma, in rept_union_pr]
Realisation.rept_union_inc [lemma, in rept_union_inc]
Realisation.setofU [definition, in setofU]
Realisation.subU [definition, in subU]
Realisation.tc_pr1 [lemma, in tc_pr1]
Realisation.tc_unique [lemma, in tc_unique]
Realisation.tc_exists [lemma, in tc_exists]
Realisation.transitive_closure_pr [definition, in transitive_closure_pr]
Realisation.transitive_closure [definition, in transitive_closure]
Realisation.transitive_setU [definition, in transitive_setU]
Realisation.Ufacts [definition, in Ufacts]
Realisation.unionA [definition, in unionA]
Realisation.unionA_pr [definition, in unionA_pr]
Realisation.unionU [definition, in unionU]
Realisation.unionU2 [definition, in unionU2]
Realisation.universe [definition, in universe]
Realisation.UniversePermutation [section, in UniversePermutation]
Realisation.UniversePermutation.f [variable, in f]
Realisation.UniversePermutation.fg [variable, in fg]
Realisation.UniversePermutation.g [variable, in g]
Realisation.UniversePermutation.gf [variable, in gf]
Realisation.UniversePermutation.inc' [variable, in inc']
Realisation.UniversePermutation.U [variable, in U]
Realisation.universe_inaccessible_mo1 [lemma, in universe_inaccessible_mo1]
Realisation.universe_inaccessible_mo2 [lemma, in universe_inaccessible_mo2]
Realisation.universe_stable_inc [lemma, in universe_stable_inc]
Realisation.universe_inaccessible_card1 [lemma, in universe_inaccessible_card1]
Realisation.universe_inaccessible_card2 [lemma, in universe_inaccessible_card2]
Realisation.universe_limit [lemma, in universe_limit]
Realisation.universe_ordinal [lemma, in universe_ordinal]
Realisation.universe_succ [lemma, in universe_succ]
Realisation.universe_AF [lemma, in universe_AF]
Realisation.universe_mo' [lemma, in universe_mo']
Realisation.universe_mo1 [lemma, in universe_mo1]
Realisation.universe_mo2 [lemma, in universe_mo2]
Realisation.universe_mo3 [lemma, in universe_mo3]
Realisation.universe_mo4 [lemma, in universe_mo4]
Realisation.universe_0 [lemma, in universe_0]
Realisation.universe_P [lemma, in universe_P]
Realisation.universe_trans [lemma, in universe_trans]
Realisation.universe_omega_props [lemma, in universe_omega_props]
Realisation.universe_rec [lemma, in universe_rec]
Realisation.universe_inaccessible_inc [lemma, in universe_inaccessible_inc]
Realisation.Universe_permutation1 [lemma, in Universe_permutation1]
Realisation.universe_omega_HF [lemma, in universe_omega_HF]
Realisation.universe_inc1 [lemma, in universe_inc1]
Realisation.universe_inc2 [lemma, in universe_inc2]
Realisation.universe_omega_hi [lemma, in universe_omega_hi]
Realisation.up_ZF1 [lemma, in up_ZF1]
Realisation.up_exten [lemma, in up_exten]
Realisation.up_infinite [lemma, in up_infinite]
Realisation.up_union2 [lemma, in up_union2]
Realisation.up_Ut [lemma, in up_Ut]
Realisation.up_choice [lemma, in up_choice]
Realisation.up_fi [lemma, in up_fi]
Realisation.up_inter2 [lemma, in up_inter2]
Realisation.up_values [lemma, in up_values]
Realisation.up_disjoint [lemma, in up_disjoint]
Realisation.up_succ [lemma, in up_succ]
Realisation.urank [definition, in urank]
Realisation.urankA [definition, in urankA]
Realisation.urankA_succ [lemma, in urankA_succ]
Realisation.urankA_ex [lemma, in urankA_ex]
Realisation.urankA_pr [lemma, in urankA_pr]
Realisation.urankA_prop [definition, in urankA_prop]
Realisation.urankA_uniq [lemma, in urankA_uniq]
Realisation.urank_alt [lemma, in urank_alt]
Realisation.urank_sub [lemma, in urank_sub]
Realisation.urank_ordinal [lemma, in urank_ordinal]
Realisation.urank_inc [lemma, in urank_inc]
Realisation.urank_uniq2 [lemma, in urank_uniq2]
Realisation.urank_union [lemma, in urank_union]
Realisation.urank_prop [definition, in urank_prop]
Realisation.urank_powerset [lemma, in urank_powerset]
Realisation.urank_uniq [lemma, in urank_uniq]
Realisation.urank_pr1 [lemma, in urank_pr1]
Realisation.urank_ex [lemma, in urank_ex]
Realisation.urank_alt1 [lemma, in urank_alt1]
Realisation.urank_alt2 [lemma, in urank_alt2]
Realisation.urank_pr [lemma, in urank_pr]
Realisation.urank_universe [lemma, in urank_universe]
Realisation.well_founded_set [definition, in well_founded_set]
Realisation.ZF_axioms1 [definition, in ZF_axioms1]
Relation [module, in Relation]
Relation.antisymmetricp [definition, in antisymmetricp]
Relation.arg1_sr [lemma, in arg1_sr]
Relation.arg2_sr [lemma, in arg2_sr]
Relation.canonical_decomposition [lemma, in canonical_decomposition]
Relation.canonical_foq_induced_rel [definition, in canonical_foq_induced_rel]
Relation.canonical_decomposition_surj [lemma, in canonical_decomposition_surj]
Relation.canonical_decompositiona [lemma, in canonical_decompositiona]
Relation.canonical_decompositionb [lemma, in canonical_decompositionb]
Relation.canonical_decomposition_surj2 [lemma, in canonical_decomposition_surj2]
Relation.canonical_foq_induced_rel_fb [lemma, in canonical_foq_induced_rel_fb]
Relation.CanonProj [section, in CanonProj]
Relation.CanonProj.er [variable, in er]
Relation.CanonProj.r [variable, in r]
Relation.canon_proj [definition, in canon_proj]
Relation.canon_proj_setQ_i [lemma, in canon_proj_setQ_i]
Relation.canon_proj_V [lemma, in canon_proj_V]
Relation.canon_proj_f [lemma, in canon_proj_f]
Relation.canon_proj_s [lemma, in canon_proj_s]
Relation.canon_proj_t [lemma, in canon_proj_t]
Relation.canon_proj_fs [lemma, in canon_proj_fs]
Relation.canon_proj_diagonal_fb_contra [lemma, in canon_proj_diagonal_fb_contra]
Relation.canon_proj_diagonal_fb [lemma, in canon_proj_diagonal_fb]
Relation.Class [section, in Class]
Relation.class [definition, in class]
Relation.classp [definition, in classp]
Relation.class_is_im_of_singleton [lemma, in class_is_im_of_singleton]
Relation.class_is_inv_direct_value [lemma, in class_is_inv_direct_value]
Relation.class_class [lemma, in class_class]
Relation.class_rep [lemma, in class_rep]
Relation.class_eq1 [lemma, in class_eq1]
Relation.class_eq2 [lemma, in class_eq2]
Relation.class_dichot [lemma, in class_dichot]
Relation.class_prod_of_relP2 [lemma, in class_prod_of_relP2]
Relation.class_P [lemma, in class_P]
Relation.Class.er [variable, in er]
Relation.Class.r [variable, in r]
Relation.coarsest_equivalence [lemma, in coarsest_equivalence]
Relation.coarse_graph [lemma, in coarse_graph]
Relation.coarse_equivalence [lemma, in coarse_equivalence]
Relation.coarse_related [lemma, in coarse_related]
Relation.coarse_sr [lemma, in coarse_sr]
Relation.compatible_with_equiv [definition, in compatible_with_equiv]
Relation.compatible_with_equiv_p [definition, in compatible_with_equiv_p]
Relation.compatible_with_pr [lemma, in compatible_with_pr]
Relation.compatible_constant_on_classes2 [lemma, in compatible_constant_on_classes2]
Relation.compatible_with_equivs [definition, in compatible_with_equivs]
Relation.compatible_constant_on_classes [lemma, in compatible_constant_on_classes]
Relation.compatible_with_proj3 [lemma, in compatible_with_proj3]
Relation.compatible_injection_induced_rel [lemma, in compatible_injection_induced_rel]
Relation.compatible_ext_to_prod_inv [lemma, in compatible_ext_to_prod_inv]
Relation.compatible_ext_to_prod [lemma, in compatible_ext_to_prod]
Relation.compatible_with_finer [lemma, in compatible_with_finer]
Relation.compatible_with_pr2 [lemma, in compatible_with_pr2]
Relation.compatible_ea [lemma, in compatible_ea]
Relation.compatible_with_equiv_pr [lemma, in compatible_with_equiv_pr]
Relation.compatible_with_proj [lemma, in compatible_with_proj]
Relation.composable_fun_projc [lemma, in composable_fun_projc]
Relation.composable_fun_projs [lemma, in composable_fun_projs]
Relation.composable_fun_proj [lemma, in composable_fun_proj]
Relation.composable_fun_projcs [lemma, in composable_fun_projcs]
Relation.compose_fun_proj_eq2 [lemma, in compose_fun_proj_eq2]
Relation.compose_fun_proj_ev2 [lemma, in compose_fun_proj_ev2]
Relation.compose_fun_proj_eq [lemma, in compose_fun_proj_eq]
Relation.compose_fun_proj_ev [lemma, in compose_fun_proj_ev]
Relation.compose_foq_proj [lemma, in compose_foq_proj]
Relation.cqr_aux [lemma, in cqr_aux]
Relation.decomposable_ext_to_prod_rel [lemma, in decomposable_ext_to_prod_rel]
Relation.Definitions [section, in Definitions]
Relation.diagonal_equivalence [lemma, in diagonal_equivalence]
Relation.diagonal_graph_on [lemma, in diagonal_graph_on]
Relation.diagonal_class [lemma, in diagonal_class]
Relation.diagonal_osr [lemma, in diagonal_osr]
Relation.domain_sr1 [lemma, in domain_sr1]
Relation.domain_sr [lemma, in domain_sr]
Relation.ea_foq_on_im_fb [lemma, in ea_foq_on_im_fb]
Relation.ea_relatedP [lemma, in ea_relatedP]
Relation.ea_graph_on [lemma, in ea_graph_on]
Relation.ea_foq_fi [lemma, in ea_foq_fi]
Relation.equipotent_equivalence [lemma, in equipotent_equivalence]
Relation.equivalence [definition, in equivalence]
Relation.EquivalenceAssociated [section, in EquivalenceAssociated]
Relation.EquivalenceAssociated.f [variable, in f]
Relation.EquivalenceAssociated.ff [variable, in ff]
Relation.equivalences [definition, in equivalences]
Relation.equivalencesP [lemma, in equivalencesP]
Relation.equivalence_associated [definition, in equivalence_associated]
Relation.equivalence_relation_bourbaki_ex5 [lemma, in equivalence_relation_bourbaki_ex5]
Relation.equivalence_pr [lemma, in equivalence_pr]
Relation.equivalence_re [definition, in equivalence_re]
Relation.equivalence_equivalence [lemma, in equivalence_equivalence]
Relation.equivalence_r [definition, in equivalence_r]
Relation.equivalence_from_rel [lemma, in equivalence_from_rel]
Relation.equivalence_prod_of_rel [lemma, in equivalence_prod_of_rel]
Relation.equivalence_relation_pr1 [lemma, in equivalence_relation_pr1]
Relation.equivalence_sgraph [lemma, in equivalence_sgraph]
Relation.eq_rel_associated [definition, in eq_rel_associated]
Relation.exists_fun_on_quotient [lemma, in exists_fun_on_quotient]
Relation.exists_unique_fun_on_quotient [lemma, in exists_unique_fun_on_quotient]
Relation.ext_to_prod_rel_V [lemma, in ext_to_prod_rel_V]
Relation.ext_to_prod_rel_f [lemma, in ext_to_prod_rel_f]
Relation.FinerEquivalence [section, in FinerEquivalence]
Relation.FinerEquivalence.fa [variable, in fa]
Relation.FinerEquivalence.r [variable, in r]
Relation.FinerEquivalence.s [variable, in s]
Relation.finer_sub_equivP2 [lemma, in finer_sub_equivP2]
Relation.finer_sub_equivP3 [lemma, in finer_sub_equivP3]
Relation.finer_sub_equivP [lemma, in finer_sub_equivP]
Relation.finer_equivalence [definition, in finer_equivalence]
Relation.finer_axioms [definition, in finer_axioms]
Relation.finest_equivalence [lemma, in finest_equivalence]
Relation.first_proj_eq_related_P [lemma, in first_proj_eq_related_P]
Relation.first_proj_equiv_proj [lemma, in first_proj_equiv_proj]
Relation.first_proj_eqr [definition, in first_proj_eqr]
Relation.first_proj_classP [lemma, in first_proj_classP]
Relation.first_proj_eq [definition, in first_proj_eq]
Relation.first_proj_sr [lemma, in first_proj_sr]
Relation.first_proj_equivalence [lemma, in first_proj_equivalence]
Relation.foqcs_axioms [lemma, in foqcs_axioms]
Relation.foqcs_V [lemma, in foqcs_V]
Relation.foqcs_f [lemma, in foqcs_f]
Relation.foqc_axioms [lemma, in foqc_axioms]
Relation.foqc_V [lemma, in foqc_V]
Relation.foqc_f [lemma, in foqc_f]
Relation.foqs_axioms [lemma, in foqs_axioms]
Relation.foqs_V [lemma, in foqs_V]
Relation.foqs_f [lemma, in foqs_f]
Relation.foq_finer_V [lemma, in foq_finer_V]
Relation.foq_finer_f [lemma, in foq_finer_f]
Relation.foq_induced_rel_fi [lemma, in foq_induced_rel_fi]
Relation.foq_finer_fs [lemma, in foq_finer_fs]
Relation.foq_induced_rel_image [lemma, in foq_induced_rel_image]
Relation.foq_axioms [lemma, in foq_axioms]
Relation.foq_V [lemma, in foq_V]
Relation.foq_f [lemma, in foq_f]
Relation.function_on_quotients [definition, in function_on_quotients]
Relation.function_on_quotient [definition, in function_on_quotient]
Relation.fun_on_quotients [definition, in fun_on_quotients]
Relation.fun_on_quotient [definition, in fun_on_quotient]
Relation.fun_on_quotient_pr [lemma, in fun_on_quotient_pr]
Relation.fun_on_quotient_pr2 [lemma, in fun_on_quotient_pr2]
Relation.fun_on_quotient_pr3 [lemma, in fun_on_quotient_pr3]
Relation.fun_on_quotient_pr4 [lemma, in fun_on_quotient_pr4]
Relation.fun_on_quotient_pr5 [lemma, in fun_on_quotient_pr5]
Relation.fun_on_rep [definition, in fun_on_rep]
Relation.fun_on_reps [definition, in fun_on_reps]
Relation.graph_ea_equivalence [lemma, in graph_ea_equivalence]
Relation.graph_on [definition, in graph_on]
Relation.graph_ea_substrate [lemma, in graph_ea_substrate]
Relation.graph_on_sr1 [lemma, in graph_on_sr1]
Relation.graph_on_graph [lemma, in graph_on_graph]
Relation.graph_on_P0 [lemma, in graph_on_P0]
Relation.graph_on_P1 [lemma, in graph_on_P1]
Relation.graph_on_P2 [lemma, in graph_on_P2]
Relation.graph_on_P3 [lemma, in graph_on_P3]
Relation.graph_on_sr [lemma, in graph_on_sr]
Relation.idempotent_graph_transitive [lemma, in idempotent_graph_transitive]
Relation.idvalue_cprojP [lemma, in idvalue_cprojP]
Relation.idvalue_P [lemma, in idvalue_P]
Relation.iirel_relation [lemma, in iirel_relation]
Relation.iirel_axioms [definition, in iirel_axioms]
Relation.iirel_substrate [lemma, in iirel_substrate]
Relation.iirel_f [lemma, in iirel_f]
Relation.iirel_relatedP [lemma, in iirel_relatedP]
Relation.iirel_classP [lemma, in iirel_classP]
Relation.inc_in_setQ_sr [lemma, in inc_in_setQ_sr]
Relation.inc_class_setQ [lemma, in inc_class_setQ]
Relation.inc_itself_class [lemma, in inc_itself_class]
Relation.inc_coarse_all_equivalence_relations [lemma, in inc_coarse_all_equivalence_relations]
Relation.InducedRelation [section, in InducedRelation]
Relation.InducedRelation.a [variable, in a]
Relation.InducedRelation.ira [variable, in ira]
Relation.InducedRelation.r [variable, in r]
Relation.induced_rel_classP [lemma, in induced_rel_classP]
Relation.induced_rel_axioms [definition, in induced_rel_axioms]
Relation.induced_rel_relatedP [lemma, in induced_rel_relatedP]
Relation.induced_rel_equivalence [lemma, in induced_rel_equivalence]
Relation.induced_rel_substrate [lemma, in induced_rel_substrate]
Relation.induced_rel_iirel_axioms [lemma, in induced_rel_iirel_axioms]
Relation.induced_relation [definition, in induced_relation]
Relation.InSameCoset [section, in InSameCoset]
Relation.InSameCoset.f [variable, in f]
Relation.InSameCoset.ff [variable, in ff]
Relation.InSameCoset.fpa [variable, in fpa]
Relation.InSameCoset.x [variable, in x]
Relation.inverse_direct_value [definition, in inverse_direct_value]
Relation.inv_image_relation [definition, in inv_image_relation]
Relation.in_class_relatedP [lemma, in in_class_relatedP]
Relation.in_same_coset [definition, in in_same_coset]
Relation.isc_rel1P [lemma, in isc_rel1P]
Relation.isc_hi [lemma, in isc_hi]
Relation.isc_rel_equivalence [lemma, in isc_rel_equivalence]
Relation.isc_rel_P [lemma, in isc_rel_P]
Relation.isc_rel_class [lemma, in isc_rel_class]
Relation.isc_rel_sr [lemma, in isc_rel_sr]
Relation.isc_rel_class2 [lemma, in isc_rel_class2]
Relation.is_class_pr [lemma, in is_class_pr]
Relation.order [definition, in order]
Relation.order_product2_or [lemma, in order_product2_or]
Relation.order_product2_sr [lemma, in order_product2_sr]
Relation.order_r [definition, in order_r]
Relation.order_product2_preorder [lemma, in order_product2_preorder]
Relation.order_preorder [lemma, in order_preorder]
Relation.order_sgraph [lemma, in order_sgraph]
Relation.order_product2_sr1 [lemma, in order_product2_sr1]
Relation.order_on [definition, in order_on]
Relation.order_re [definition, in order_re]
Relation.order_from_rel [lemma, in order_from_rel]
Relation.partition_relation [definition, in partition_relation]
Relation.partition_from_equivalence [lemma, in partition_from_equivalence]
Relation.partition_fun_fb [lemma, in partition_fun_fb]
Relation.partition_inc_unique1 [lemma, in partition_inc_unique1]
Relation.preorder [definition, in preorder]
Relation.preorder_from_rel [lemma, in preorder_from_rel]
Relation.preorder_sgraph [lemma, in preorder_sgraph]
Relation.preorder_r [definition, in preorder_r]
Relation.prod_of_relation [definition, in prod_of_relation]
Relation.prod_of_rel_P [lemma, in prod_of_rel_P]
Relation.pr1_sr [lemma, in pr1_sr]
Relation.pr2_sr [lemma, in pr2_sr]
Relation.quotient [definition, in quotient]
Relation.QuotientRelations [section, in QuotientRelations]
Relation.QuotientRelations.fa [variable, in fa]
Relation.QuotientRelations.fe [variable, in fe]
Relation.QuotientRelations.r [variable, in r]
Relation.QuotientRelations.s [variable, in s]
Relation.quotient_canonical_decomposition [lemma, in quotient_canonical_decomposition]
Relation.quotient_of_relations [definition, in quotient_of_relations]
Relation.quo_rel_class_bisP [lemma, in quo_rel_class_bisP]
Relation.quo_rel_related_bisP [lemma, in quo_rel_related_bisP]
Relation.quo_rel_equivalence [lemma, in quo_rel_equivalence]
Relation.quo_rel_relatedP [lemma, in quo_rel_relatedP]
Relation.quo_rel_pr [lemma, in quo_rel_pr]
Relation.quo_rel_substrate [lemma, in quo_rel_substrate]
Relation.reflexivep [definition, in reflexivep]
Relation.reflexive_re [definition, in reflexive_re]
Relation.reflexive_rr [definition, in reflexive_rr]
Relation.reflexive_domain [lemma, in reflexive_domain]
Relation.reflexivity_e [lemma, in reflexivity_e]
Relation.related_prod_of_relP1 [lemma, in related_prod_of_relP1]
Relation.related_prod_of_relP2 [lemma, in related_prod_of_relP2]
Relation.related_rep_class [lemma, in related_rep_class]
Relation.related_ext_to_prod_rel [lemma, in related_ext_to_prod_rel]
Relation.related_e_P [lemma, in related_e_P]
Relation.related_equiv_P [lemma, in related_equiv_P]
Relation.related_rr_P [lemma, in related_rr_P]
Relation.related_rep_in_class [lemma, in related_rep_in_class]
Relation.relation_on_quotient [definition, in relation_on_quotient]
Relation.rel_gcp_P [lemma, in rel_gcp_P]
Relation.rel_on_quoP [lemma, in rel_on_quoP]
Relation.rel_on_quoP2 [lemma, in rel_on_quoP2]
Relation.rel_in_class [lemma, in rel_in_class]
Relation.rel_in_class2 [lemma, in rel_in_class2]
Relation.representative_system_function [definition, in representative_system_function]
Relation.representative_system [definition, in representative_system]
Relation.rep_sys_function_pr2 [lemma, in rep_sys_function_pr2]
Relation.rep_i_sr [lemma, in rep_i_sr]
Relation.rep_sys_function_pr [lemma, in rep_sys_function_pr]
Relation.rep_in_class [lemma, in rep_in_class]
Relation.restricted_eq [definition, in restricted_eq]
Relation.right_inv_canon_proj [lemma, in right_inv_canon_proj]
Relation.saturated [definition, in saturated]
Relation.saturatedP [lemma, in saturatedP]
Relation.saturated_P3 [lemma, in saturated_P3]
Relation.saturated_P4 [lemma, in saturated_P4]
Relation.saturated_setC [lemma, in saturated_setC]
Relation.saturated_setI [lemma, in saturated_setI]
Relation.saturated_setU [lemma, in saturated_setU]
Relation.saturated2P [lemma, in saturated2P]
Relation.saturation_of [definition, in saturation_of]
Relation.saturation_of_pr [lemma, in saturation_of_pr]
Relation.saturation_of_union [lemma, in saturation_of_union]
Relation.saturation_of_smallest [lemma, in saturation_of_smallest]
Relation.section_is_representative_system_function [lemma, in section_is_representative_system_function]
Relation.section_canon_proj_axioms [lemma, in section_canon_proj_axioms]
Relation.section_canon_proj_V [lemma, in section_canon_proj_V]
Relation.section_canon_proj_f [lemma, in section_canon_proj_f]
Relation.section_canon_proj [definition, in section_canon_proj]
Relation.section_canon_proj_pr [lemma, in section_canon_proj_pr]
Relation.selfinverse_graph_symmetric [lemma, in selfinverse_graph_symmetric]
Relation.setIrelR [lemma, in setIrelR]
Relation.setIrelS [lemma, in setIrelS]
Relation.setIrelT [lemma, in setIrelT]
Relation.setIrel_P [lemma, in setIrel_P]
Relation.setIrel_graph [lemma, in setIrel_graph]
Relation.setIrel_or [lemma, in setIrel_or]
Relation.setIrel_equivalence [lemma, in setIrel_equivalence]
Relation.setIrel_sr [lemma, in setIrel_sr]
Relation.setQ_ne [lemma, in setQ_ne]
Relation.setQ_P [lemma, in setQ_P]
Relation.setQ_repi [lemma, in setQ_repi]
Relation.setU_setQ [lemma, in setU_setQ]
Relation.substrate [definition, in substrate]
Relation.substrate_prod_of_rel [lemma, in substrate_prod_of_rel]
Relation.substrate_smallest [lemma, in substrate_smallest]
Relation.substrate_sub [lemma, in substrate_sub]
Relation.substrate_P [lemma, in substrate_P]
Relation.substr_i [lemma, in substr_i]
Relation.sub_im_canon_proj_quotient [lemma, in sub_im_canon_proj_quotient]
Relation.sub_quotient_powerset [lemma, in sub_quotient_powerset]
Relation.sub_class_substrate [lemma, in sub_class_substrate]
Relation.sub_graph_coarse_substrate [lemma, in sub_graph_coarse_substrate]
Relation.sub_class_sr [lemma, in sub_class_sr]
Relation.surjective_pr7 [lemma, in surjective_pr7]
Relation.symmetricity_e [lemma, in symmetricity_e]
Relation.symmetricp [definition, in symmetricp]
Relation.symmetric_transitive_equivalence [lemma, in symmetric_transitive_equivalence]
Relation.transitivep [definition, in transitivep]
Relation.transitivity_e [lemma, in transitivity_e]
Relation.trivial_equiv [lemma, in trivial_equiv]
Relation.union_image [definition, in union_image]
restrict [definition, in restrict]
restricted_recursion.A [variable, in A]
restricted_recursion.P [variable, in P]
restricted_recursion.R [variable, in R]
restricted_recursion [section, in restricted_recursion]
RingFormulas [section, in RingFormulas]
RingFormulas.R [variable, in R]
RingPoly [section, in RingPoly]
RingPoly.R [variable, in R]
S
Sequences [section, in Sequences]Sequences.A [variable, in A]
Sequences.R [variable, in R]
Sequences.W [variable, in W]
set_surj_fun_onP [lemma, in set_surj_fun_onP]
set_surj_fun [definition, in set_surj_fun]
set_surj_fun_on [definition, in set_surj_fun_on]
set_surj_fun_P [lemma, in set_surj_fun_P]
shorten_sum [lemma, in shorten_sum]
sn2bin [lemma, in sn2bin]
sn4bin' [lemma, in sn4bin']
sn6bin' [lemma, in sn6bin']
sorted_prop [lemma, in sorted_prop]
ssete1 [library]
ssete2 [library]
ssete3 [library]
ssete4 [library]
ssete5 [library]
ssete6 [library]
ssete7 [library]
ssete8 [library]
ssete9 [library]
sset1 [library]
sset10 [library]
sset10b [library]
sset11 [library]
sset12 [library]
sset13 [library]
sset14 [library]
sset15 [library]
sset16 [library]
sset2 [library]
sset3 [library]
sset4 [library]
sset5 [library]
sset6 [library]
sset7 [library]
sset8 [library]
sset9 [library]
stirE [lemma, in stirE]
Stirling [section, in Stirling]
stirling_partition [lemma, in stirling_partition]
Stirling.Partition [section, in Partition]
Stirling.Partition.aT [variable, in aT]
Stirling.Partition.f [variable, in f]
Stirling.Partition.rT [variable, in rT]
'Eu ( _ , _ ) (nat_scope) [notation, in :nat_scope:'''Eu'_'('_x_','_x_')']
'St ( _ , _ ) (nat_scope) [notation, in :nat_scope:'''St'_'('_x_','_x_')']
'Sj ( _ , _ ) (nat_scope) [notation, in :nat_scope:'''Sj'_'('_x_','_x_')']
stirling2 [definition, in stirling2]
stirling2_rec [definition, in stirling2_rec]
stirn0 [lemma, in stirn0]
stirS [lemma, in stirS]
stir_SSnn [lemma, in stir_SSnn]
stir_n1 [lemma, in stir_n1]
stir_n2 [lemma, in stir_n2]
stir_nn [lemma, in stir_nn]
stir_small1 [lemma, in stir_small1]
stir_Snn [lemma, in stir_Snn]
stir_small [lemma, in stir_small]
stir_Snn' [lemma, in stir_Snn']
stir0n [lemma, in stir0n]
stir00 [lemma, in stir00]
subseq_iota [lemma, in subseq_iota]
subseq_iota1 [lemma, in subseq_iota1]
sum_bin_rec [lemma, in sum_bin_rec]
sum_nbsurj [lemma, in sum_nbsurj]
sum_pow [lemma, in sum_pow]
sum_pow_euler [lemma, in sum_pow_euler]
T
Tactics1 [module, in Tactics1]T_nkbin_pr [lemma, in T_nkbin_pr]
T_nkbin [definition, in T_nkbin]
U
Union [module, in Union]Union.C2_neC01 [lemma, in C2_neC01]
Union.C3 [definition, in C3]
Union.C3_neC012 [lemma, in C3_neC012]
Union.C3_P [lemma, in C3_P]
Union.C4 [definition, in C4]
Union.C4_P [lemma, in C4_P]
Union.funI_setU1 [lemma, in funI_setU1]
Union.funI_setU2 [lemma, in funI_setU2]
Union.funI_setne [lemma, in funI_setne]
Union.funI_setne1 [lemma, in funI_setne1]
Union.funI_set0 [lemma, in funI_set0]
Union.funI_set1 [lemma, in funI_set1]
Union.funI_set2 [lemma, in funI_set2]
Union.funI_setU [lemma, in funI_setU]
Union.funI_S [lemma, in funI_S]
Union.select [definition, in select]
Union.select_uniq [lemma, in select_uniq]
Union.select_pr [lemma, in select_pr]
Union.setCU_K [lemma, in setCU_K]
Union.setC1_K [lemma, in setC1_K]
Union.setC1_inj [lemma, in setC1_inj]
Union.setUt_P [lemma, in setUt_P]
Union.setU_0 [lemma, in setU_0]
Union.setU_1 [lemma, in setU_1]
Union.setU_P [lemma, in setU_P]
Union.setU_i [lemma, in setU_i]
Union.setU_hi [lemma, in setU_hi]
Union.setU_s1 [lemma, in setU_s1]
Union.setU_s2 [lemma, in setU_s2]
Union.setU1_eq [lemma, in setU1_eq]
Union.setU1_hi [lemma, in setU1_hi]
Union.setU1_sub [lemma, in setU1_sub]
Union.setU1_inj [lemma, in setU1_inj]
Union.setU1_1 [lemma, in setU1_1]
Union.setU1_K [lemma, in setU1_K]
Union.setU1_P [lemma, in setU1_P]
Union.setU1_r [lemma, in setU1_r]
Union.setU2Cr1 [lemma, in setU2Cr1]
Union.setU2Cr2 [lemma, in setU2Cr2]
Union.setU2id_Pl [lemma, in setU2id_Pl]
Union.setU2id_Pr [lemma, in setU2id_Pr]
Union.setU2_AC [lemma, in setU2_AC]
Union.setU2_CA [lemma, in setU2_CA]
Union.setU2_Cr [lemma, in setU2_Cr]
Union.setU2_0 [lemma, in setU2_0]
Union.setU2_1 [lemma, in setU2_1]
Union.setU2_2 [lemma, in setU2_2]
Union.setU2_A [lemma, in setU2_A]
Union.setU2_C [lemma, in setU2_C]
Union.setU2_P [lemma, in setU2_P]
Union.setU2_S1 [lemma, in setU2_S1]
Union.setU2_S2 [lemma, in setU2_S2]
Union.setU2_SS [lemma, in setU2_SS]
Union.setU2_hi [lemma, in setU2_hi]
Union.setU2_id [lemma, in setU2_id]
Union.setU2_12S [lemma, in setU2_12S]
Union.setU2_eq0P [lemma, in setU2_eq0P]
Union.setU2_11 [lemma, in setU2_11]
Union.set0_U2 [lemma, in set0_U2]
Union.set2_UUl [lemma, in set2_UUl]
Union.set2_UUr [lemma, in set2_UUr]
Union.set3_P [lemma, in set3_P]
Union.subCset_P2 [lemma, in subCset_P2]
Union.subsetU2l [lemma, in subsetU2l]
Union.subsetU2r [lemma, in subsetU2r]
Union.subU2_setP [lemma, in subU2_setP]
Union.sub_setU1 [lemma, in sub_setU1]
Union.sub_setU2 [lemma, in sub_setU2]
Union.tripleton [definition, in tripleton]
Union.Uaux [inductive, in Uaux]
Union.Uaux_c [constructor, in Uaux_c]
Union.union [definition, in union]
Union.UnionDef [section, in UnionDef]
Union.UnionDef.f [variable, in f]
Union.UnionDef.I [variable, in I]
Union.uniont [definition, in uniont]
Union.union2 [definition, in union2]
Union.Yo [definition, in Yo]
Union.Y_false [lemma, in Y_false]
Union.Y_same [lemma, in Y_same]
Union.Y_true [lemma, in Y_true]
_ \cup _ [notation, in ::x_'\cup'_x]
_ +s1 _ [notation, in ::x_'+s1'_x]
UT_nkbin [lemma, in UT_nkbin]
U_nkbin_pr [lemma, in U_nkbin_pr]
U_nkbin [definition, in U_nkbin]
V
VonNeumann [module, in VonNeumann]VonNeumann.direct_image_exten [lemma, in direct_image_exten]
VonNeumann.numerable [definition, in numerable]
VonNeumann.numeration [definition, in numeration]
VonNeumann.numeration_unique [lemma, in numeration_unique]
VonNeumann.segments_numerables [lemma, in segments_numerables]
VonNeumann.sub_numeration [lemma, in sub_numeration]
VonNeumann.the_numeration [definition, in the_numeration]
VonNeumann.worder_numerable [lemma, in worder_numerable]
VonNeumann.worder_numerable_bis [lemma, in worder_numerable_bis]
W
well_founded_P [definition, in well_founded_P]Wfsum [module, in Wfsum]
Wfsum.extension [definition, in extension]
Wfsum.f [definition, in f]
Wfsum.f_spec_simp [lemma, in f_spec_simp]
Wfsum.f_correct [lemma, in f_correct]
Wfsum.f_spec [definition, in f_spec]
Wfsum.f_eqn [lemma, in f_eqn]
Wfsum.f1 [definition, in f1]
Wfsum.f2 [definition, in f2]
Wfsum.lt_dec [lemma, in lt_dec]
Wfsum.psum [definition, in psum]
Wfsum.psum_exten [lemma, in psum_exten]
Wf_ex3.f [definition, in f]
Wf_ex.f [definition, in f]
Wf_ex3.f0a [lemma, in f0a]
Wf_ex3.f0b [lemma, in f0b]
Wf_ex3.f0c [lemma, in f0c]
Wf_ex3.f_spec_simp [lemma, in f_spec_simp]
Wf_ex.f_spec_simp [lemma, in f_spec_simp]
Wf_ex3.f_correct [lemma, in f_correct]
Wf_ex.f_correct [lemma, in f_correct]
Wf_ex.f0 [lemma, in f0]
Wf_ex3.f1 [definition, in f1]
Wf_ex.f1 [definition, in f1]
Wf_ex3.f2 [definition, in f2]
Wf_ex.f2 [definition, in f2]
Wf_ex [module, in Wf_ex]
Wf_ex3.f_spec [definition, in f_spec]
Wf_ex.f_spec [definition, in f_spec]
Wf_ex3.lte [definition, in lte]
Wf_ex3.lte_wf [lemma, in lte_wf]
Wf_ex3 [module, in Wf_ex3]
Wf_ex3.f_spec_simp1 [lemma, in f_spec_simp1]
Wf_ex3.f_spec_simp2 [lemma, in f_spec_simp2]
Wf_ex3.f_eqn [lemma, in f_eqn]
Wf_ex.f_eqn [lemma, in f_eqn]
Wf_ex3.odd_dec [lemma, in odd_dec]
Worder [module, in Worder]
Worder.bij_pair_isomorphism_onto_segment [lemma, in bij_pair_isomorphism_onto_segment]
Worder.canonical_doubleton_order [definition, in canonical_doubleton_order]
Worder.canonical2_substrate [lemma, in canonical2_substrate]
Worder.cdo_wor [lemma, in cdo_wor]
Worder.cdo_gleP [lemma, in cdo_gleP]
Worder.cdo_glt1 [lemma, in cdo_glt1]
Worder.change_target_fun [definition, in change_target_fun]
Worder.coarse_segment_monotone [lemma, in coarse_segment_monotone]
Worder.common_worder_axiom [definition, in common_worder_axiom]
Worder.common_extension_order [definition, in common_extension_order]
Worder.common_extension_order_axiom [definition, in common_extension_order_axiom]
Worder.common_ordering_set [definition, in common_ordering_set]
Worder.disjoint_union_pi1 [lemma, in disjoint_union_pi1]
Worder.du_index_pr1 [lemma, in du_index_pr1]
Worder.empty_substrate_zero [lemma, in empty_substrate_zero]
Worder.increasing_function_segments [lemma, in increasing_function_segments]
Worder.inc_segmentsP [lemma, in inc_segmentsP]
Worder.inc_segment [lemma, in inc_segment]
Worder.inc_bound_segmentc [lemma, in inc_bound_segmentc]
Worder.induced_wor [lemma, in induced_wor]
Worder.inductive [definition, in inductive]
Worder.inductive_powerset [lemma, in inductive_powerset]
Worder.inductive_graphs [lemma, in inductive_graphs]
Worder.inductive_max_greater [lemma, in inductive_max_greater]
Worder.isomorphic_subset_segment [lemma, in isomorphic_subset_segment]
Worder.isomorphism_worder_unique [lemma, in isomorphism_worder_unique]
Worder.isomorphism_worder2 [lemma, in isomorphism_worder2]
Worder.isomorphism_worder [lemma, in isomorphism_worder]
Worder.le_in_segment [lemma, in le_in_segment]
Worder.lt_in_segment [lemma, in lt_in_segment]
Worder.maximal_in_powerset [lemma, in maximal_in_powerset]
Worder.minimal_in_powerset [lemma, in minimal_in_powerset]
Worder.monotone_order_fam [definition, in monotone_order_fam]
Worder.not_in_segment [lemma, in not_in_segment]
Worder.OrderSumBasic [section, in OrderSumBasic]
Worder.OrderSumBasic.g [variable, in g]
Worder.OrderSumBasic.osa [variable, in osa]
Worder.OrderSumBasic.r [variable, in r]
Worder.OrderSum2Basic [section, in OrderSum2Basic]
Worder.OrderSum2Basic.or [variable, in or]
Worder.OrderSum2Basic.or' [variable, in or']
Worder.OrderSum2Basic.r [variable, in r]
Worder.OrderSum2Basic.r' [variable, in r']
Worder.order_prod2 [definition, in order_prod2]
Worder.order_sum2 [definition, in order_sum2]
Worder.order_merge1 [lemma, in order_merge1]
Worder.order_merge2 [lemma, in order_merge2]
Worder.order_merge3 [lemma, in order_merge3]
Worder.order_merge4 [lemma, in order_merge4]
Worder.order_merge5 [lemma, in order_merge5]
Worder.order_extends [definition, in order_extends]
Worder.order_sp_axioms [lemma, in order_sp_axioms]
Worder.order_prod_pr [lemma, in order_prod_pr]
Worder.order_prod_r [definition, in order_prod_r]
Worder.order_sum_r [definition, in order_sum_r]
Worder.order_prod [definition, in order_prod]
Worder.order_sum [definition, in order_sum]
Worder.ordinal_iso [definition, in ordinal_iso]
Worder.orprod_gle1P [lemma, in orprod_gle1P]
Worder.orprod_ax [definition, in orprod_ax]
Worder.orprod_or [lemma, in orprod_or]
Worder.orprod_sr [lemma, in orprod_sr]
Worder.orprod_osr [lemma, in orprod_osr]
Worder.orprod_gleP [lemma, in orprod_gleP]
Worder.orprod_total [lemma, in orprod_total]
Worder.orprod2_osr [lemma, in orprod2_osr]
Worder.orprod2_or [lemma, in orprod2_or]
Worder.orprod2_sr [lemma, in orprod2_sr]
Worder.orprod2_gleP [lemma, in orprod2_gleP]
Worder.orsum_osr [lemma, in orsum_osr]
Worder.orsum_gle_id [lemma, in orsum_gle_id]
Worder.orsum_ax [definition, in orsum_ax]
Worder.orsum_or [lemma, in orsum_or]
Worder.orsum_gle1 [lemma, in orsum_gle1]
Worder.orsum_gle2 [lemma, in orsum_gle2]
Worder.orsum_gleP [lemma, in orsum_gleP]
Worder.orsum_sr [lemma, in orsum_sr]
Worder.orsum_wor [lemma, in orsum_wor]
Worder.orsum2_or [lemma, in orsum2_or]
Worder.orsum2_sr [lemma, in orsum2_sr]
Worder.orsum2_totalorder [lemma, in orsum2_totalorder]
Worder.orsum2_gleP [lemma, in orsum2_gleP]
Worder.orsum2_gle_spec [lemma, in orsum2_gle_spec]
Worder.orsum2_osr [lemma, in orsum2_osr]
Worder.restriction_to_segment [definition, in restriction_to_segment]
Worder.rts_fs [lemma, in rts_fs]
Worder.rts_extensionality [lemma, in rts_extensionality]
Worder.segment [definition, in segment]
Worder.segmentc [definition, in segmentc]
Worder.segmentcP [lemma, in segmentcP]
Worder.segmentc_insetof [lemma, in segmentc_insetof]
Worder.segmentc_pr [lemma, in segmentc_pr]
Worder.segmentc_segment [lemma, in segmentc_segment]
Worder.segmentP [lemma, in segmentP]
Worder.segmentp [definition, in segmentp]
Worder.segments [definition, in segments]
Worder.segmentss [definition, in segmentss]
Worder.segments_worder [lemma, in segments_worder]
Worder.segments_iso [definition, in segments_iso]
Worder.segments_iso_is [lemma, in segments_iso_is]
Worder.segments_iso1 [lemma, in segments_iso1]
Worder.segments_iso2 [lemma, in segments_iso2]
Worder.segment_alt [lemma, in segment_alt]
Worder.segment_monotone [lemma, in segment_monotone]
Worder.segment_segment [lemma, in segment_segment]
Worder.segment_inc [lemma, in segment_inc]
Worder.segment_alt1 [lemma, in segment_alt1]
Worder.segment_dichot_sub [lemma, in segment_dichot_sub]
Worder.segment_induced [lemma, in segment_induced]
Worder.segment_injective [lemma, in segment_injective]
Worder.segment_induced_a [lemma, in segment_induced_a]
Worder.segment_monotone1 [lemma, in segment_monotone1]
Worder.segment_insetof [lemma, in segment_insetof]
Worder.segment_induced1 [lemma, in segment_induced1]
Worder.setI_segment [lemma, in setI_segment]
Worder.setUf_segment [lemma, in setUf_segment]
Worder.setU_segment [lemma, in setU_segment]
Worder.set0_or [lemma, in set0_or]
Worder.set0_segment [lemma, in set0_segment]
Worder.set0_wor [lemma, in set0_wor]
Worder.set1_order_is1 [lemma, in set1_order_is1]
Worder.set1_order_is2 [lemma, in set1_order_is2]
Worder.set1_order_is [lemma, in set1_order_is]
Worder.set1_wor [lemma, in set1_wor]
Worder.strict_increasing_extens [lemma, in strict_increasing_extens]
Worder.subsegment_segment [lemma, in subsegment_segment]
Worder.substrate_segment [lemma, in substrate_segment]
Worder.sub_segment1 [lemma, in sub_segment1]
Worder.sub_segment2 [lemma, in sub_segment2]
Worder.sub_segmentc [lemma, in sub_segmentc]
Worder.sub_segments [lemma, in sub_segments]
Worder.sub_segment [lemma, in sub_segment]
Worder.sum_of_substrates [definition, in sum_of_substrates]
Worder.transdef_tg1 [lemma, in transdef_tg1]
Worder.transdef_tg2 [lemma, in transdef_tg2]
Worder.transdef_tg3 [lemma, in transdef_tg3]
Worder.TransfinitePrinciple [section, in TransfinitePrinciple]
Worder.TransfinitePrinciple.adj_stable [variable, in adj_stable]
Worder.TransfinitePrinciple.r [variable, in r]
Worder.TransfinitePrinciple.s [variable, in s]
Worder.TransfinitePrinciple.u_stable [variable, in u_stable]
Worder.TransfinitePrinciple.wor [variable, in wor]
Worder.transfinite_aux1 [lemma, in transfinite_aux1]
Worder.transfinite_aux2 [lemma, in transfinite_aux2]
Worder.transfinite_aux3 [lemma, in transfinite_aux3]
Worder.transfinite_unique [lemma, in transfinite_unique]
Worder.transfinite_definition_stable [lemma, in transfinite_definition_stable]
Worder.transfinite_def [definition, in transfinite_def]
Worder.transfinite_defined [definition, in transfinite_defined]
Worder.transfinite_unique1 [lemma, in transfinite_unique1]
Worder.transfinite_defined_pr [lemma, in transfinite_defined_pr]
Worder.transfinite_pr [lemma, in transfinite_pr]
Worder.transfinite_definition [lemma, in transfinite_definition]
Worder.transfinite_principle [lemma, in transfinite_principle]
Worder.transfinite_principle1 [lemma, in transfinite_principle1]
Worder.transfinite_principle2 [lemma, in transfinite_principle2]
Worder.union_segments [lemma, in union_segments]
Worder.unique_isomorphism_onto_segment [lemma, in unique_isomorphism_onto_segment]
Worder.well_ordered_segment [lemma, in well_ordered_segment]
Worder.worder [definition, in worder]
Worder.wordering_pr [lemma, in wordering_pr]
Worder.worderr_total [lemma, in worderr_total]
Worder.worder_merge [lemma, in worder_merge]
Worder.worder_set1 [lemma, in worder_set1]
Worder.worder_adjoin_greatest [lemma, in worder_adjoin_greatest]
Worder.worder_fam [definition, in worder_fam]
Worder.worder_least [lemma, in worder_least]
Worder.worder_total [lemma, in worder_total]
Worder.worder_of [definition, in worder_of]
Worder.worder_on [definition, in worder_on]
Worder.worder_or [lemma, in worder_or]
Worder.worder_hassup [lemma, in worder_hassup]
Worder.worder_r [definition, in worder_r]
Worder.Zermelo [lemma, in Zermelo]
Worder.Zermelo_aux [lemma, in Zermelo_aux]
Worder.Zermelo_ter [lemma, in Zermelo_ter]
Worder.Zermelo_aux0 [lemma, in Zermelo_aux0]
Worder.Zermelo_aux1 [lemma, in Zermelo_aux1]
Worder.Zermelo_aux2 [lemma, in Zermelo_aux2]
Worder.Zermelo_aux3 [lemma, in Zermelo_aux3]
Worder.Zermelo_aux4 [lemma, in Zermelo_aux4]
Worder.Zermelo_axioms [definition, in Zermelo_axioms]
Worder.Zorn_aux [lemma, in Zorn_aux]
Worder.Zorn_lemma [lemma, in Zorn_lemma]
Z
Zformulas [module, in Zformulas]Zformulas.bin_conv_inv1 [lemma, in bin_conv_inv1]
Zformulas.bin_conv_inv2 [lemma, in bin_conv_inv2]
Zformulas.bin_conv_inv3 [lemma, in bin_conv_inv3]
Zformulas.bin_conv_dir [definition, in bin_conv_dir]
Zformulas.bin_conv_inv_rec [lemma, in bin_conv_inv_rec]
Zformulas.bin_conv_inv [definition, in bin_conv_inv]
Zformulas.double_pow_m1 [lemma, in double_pow_m1]
Zformulas.Exercise5_7a [lemma, in Exercise5_7a]
Zformulas.Exercise5_7b [lemma, in Exercise5_7b]
Zformulas.F26a [lemma, in F26a]
Zformulas.F26b [lemma, in F26b]
Zformulas.nb_surj_small [lemma, in nb_surj_small]
Zformulas.nb_surj_SSnn [lemma, in nb_surj_SSnn]
Zformulas.nb_surj [definition, in nb_surj]
Zformulas.nb_surj_rec [lemma, in nb_surj_rec]
Zformulas.nb_surj_00 [lemma, in nb_surj_00]
Zformulas.nb_surj_0p [lemma, in nb_surj_0p]
Zformulas.nb_surj_1p [lemma, in nb_surj_1p]
Zformulas.nb_surj_pos1 [lemma, in nb_surj_pos1]
Zformulas.nb_surj_Snn [lemma, in nb_surj_Snn]
Zformulas.nb_surj_n0 [lemma, in nb_surj_n0]
Zformulas.nb_surj_n1 [lemma, in nb_surj_n1]
Zformulas.nb_surj_n2 [lemma, in nb_surj_n2]
Zformulas.nb_surj_nn [lemma, in nb_surj_nn]
other
'U ( _ , _ ) (nat_scope) [notation, in :nat_scope:'''U'_'('_x_','_x_')']{ compat _ : _ / _ >-> _ } (type_scope) [notation, in :type_scope:'{'_'compat'_x_':'_x_'/'_x_'>->'_x_'}']
{ when _ & , _ } (type_scope) [notation, in :type_scope:'{'_'when'_x_'&'_','_x_'}']
{ when _ & _ , _ } (type_scope) [notation, in :type_scope:'{'_'when'_x_'&'_x_','_x_'}']
{ compat _ : _ & / _ } (type_scope) [notation, in :type_scope:'{'_'compat'_x_':'_x_'&'_'/'_x_'}']
{ when : _ , _ } (type_scope) [notation, in :type_scope:'{'_'when'_':'_x_','_x_'}']
{ compat _ : _ _ / _ } (type_scope) [notation, in :type_scope:'{'_'compat'_x_':'_x_x_'/'_x_'}']
{ compat _ : _ _ / _ >-> _ } (type_scope) [notation, in :type_scope:'{'_'compat'_x_':'_x_x_'/'_x_'>->'_x_'}']
{ compat _ : _ / _ } (type_scope) [notation, in :type_scope:'{'_'compat'_x_':'_x_'/'_x_'}']
{ inc _ & _ , _ } (type_scope) [notation, in :type_scope:'{'_'inc'_x_'&'_x_','_x_'}']
{ when _ , _ } (type_scope) [notation, in :type_scope:'{'_'when'_x_','_x_'}']
{ inc _ & , _ } (type_scope) [notation, in :type_scope:'{'_'inc'_x_'&'_','_x_'}']
{ compat _ : _ & / _ >-> _ } (type_scope) [notation, in :type_scope:'{'_'compat'_x_':'_x_'&'_'/'_x_'>->'_x_'}']
{ inc _ , _ } (type_scope) [notation, in :type_scope:'{'_'inc'_x_','_x_'}']
Lemma Index
A
acc_rec [in acc_rec]Ackermann.addC_CE [in addC_CE]
Ackermann.add_normal [in add_normal]
Ackermann.add_to_cons [in add_to_cons]
Ackermann.add_fin_omega [in add_fin_omega]
Ackermann.add_inj [in add_inj]
Ackermann.add_int [in add_int]
Ackermann.add_le1 [in add_le1]
Ackermann.add_le2 [in add_le2]
Ackermann.add_le3 [in add_le3]
Ackermann.add_le4 [in add_le4]
Ackermann.add1Nfin [in add1Nfin]
Ackermann.all_zeroE [in all_zeroE]
Ackermann.ap_pr2CE [in ap_pr2CE]
Ackermann.ap_pr0 [in ap_pr0]
Ackermann.ap_pr1 [in ap_pr1]
Ackermann.ap_pr2 [in ap_pr2]
Ackermann.ap_pr3 [in ap_pr3]
Ackermann.ap_pr4 [in ap_pr4]
Ackermann.ap_limit [in ap_limit]
Ackermann.conc1 [in conc1]
Ackermann.fincP [in fincP]
Ackermann.finite_ltP [in finite_ltP]
Ackermann.fooCE [in fooCE]
Ackermann.le_succ_succ [in le_succ_succ]
Ackermann.le_succ_succE [in le_succ_succE]
Ackermann.limit_pr [in limit_pr]
Ackermann.limit_pr1 [in limit_pr1]
Ackermann.limit1 [in limit1]
Ackermann.limit10 [in limit10]
Ackermann.limit11 [in limit11]
Ackermann.limit12a [in limit12a]
Ackermann.limit12b1 [in limit12b1]
Ackermann.limit12b2 [in limit12b2]
Ackermann.limit12b3 [in limit12b3]
Ackermann.limit12b4 [in limit12b4]
Ackermann.limit12b5 [in limit12b5]
Ackermann.limit2 [in limit2]
Ackermann.limit3 [in limit3]
Ackermann.limit4 [in limit4]
Ackermann.limit5 [in limit5]
Ackermann.limit6 [in limit6]
Ackermann.limit7 [in limit7]
Ackermann.limit8 [in limit8]
Ackermann.limit9 [in limit9]
Ackermann.lt_succ_succE [in lt_succ_succE]
Ackermann.lt_epsilon0 [in lt_epsilon0]
Ackermann.lt_omega1 [in lt_omega1]
Ackermann.lt_omega2 [in lt_omega2]
Ackermann.lt_succ_succ [in lt_succ_succ]
Ackermann.lt_succ_le_1 [in lt_succ_le_1]
Ackermann.lt_succ_le_2 [in lt_succ_le_2]
Ackermann.lt_succ_le_3 [in lt_succ_le_3]
Ackermann.lt_succ_le_4 [in lt_succ_le_4]
Ackermann.lt_not_wf [in lt_not_wf]
Ackermann.minus_le [in minus_le]
Ackermann.minus_lt [in minus_lt]
Ackermann.nf_sub [in nf_sub]
Ackermann.nf_cons_cons [in nf_cons_cons]
Ackermann.nf_pred [in nf_pred]
Ackermann.nf_split [in nf_split]
Ackermann.nf_Wf [in nf_Wf]
Ackermann.nf_int [in nf_int]
Ackermann.nf_omega [in nf_omega]
Ackermann.nf_0 [in nf_0]
Ackermann.nf_succ [in nf_succ]
Ackermann.nf_consE [in nf_consE]
Ackermann.nf_psi [in nf_psi]
Ackermann.nf_finite [in nf_finite]
Ackermann.nf_add [in nf_add]
Ackermann.normal_id [in normal_id]
Ackermann.normal_limit [in normal_limit]
Ackermann.normal_compose [in normal_compose]
Ackermann.omega_least_inf1 [in omega_least_inf1]
Ackermann.omega_least_inf2 [in omega_least_inf2]
Ackermann.omega_minus_one [in omega_minus_one]
Ackermann.phiE [in phiE]
Ackermann.phiE_1 [in phiE_1]
Ackermann.phiE_2 [in phiE_2]
Ackermann.phiE_3 [in phiE_3]
Ackermann.phiL [in phiL]
Ackermann.phi3v [in phi3v]
Ackermann.pred_le [in pred_le]
Ackermann.pred_lt [in pred_lt]
Ackermann.pred_succ [in pred_succ]
Ackermann.psi_lt1 [in psi_lt1]
Ackermann.psi_lt2 [in psi_lt2]
Ackermann.psi_succ_pr1 [in psi_succ_pr1]
Ackermann.size_a [in size_a]
Ackermann.size_b [in size_b]
Ackermann.size_c [in size_c]
Ackermann.size_d [in size_d]
Ackermann.size_prop [in size_prop]
Ackermann.size_psi [in size_psi]
Ackermann.size_prop1 [in size_prop1]
Ackermann.split_succ [in split_succ]
Ackermann.split_is_succ [in split_is_succ]
Ackermann.split_finite [in split_finite]
Ackermann.split_add [in split_add]
Ackermann.split_pred [in split_pred]
Ackermann.split_le [in split_le]
Ackermann.split_limit [in split_limit]
Ackermann.sub_nz [in sub_nz]
Ackermann.sub_pr [in sub_pr]
Ackermann.sub_pr1 [in sub_pr1]
Ackermann.sub_pr1r [in sub_pr1r]
Ackermann.sub_1aCE [in sub_1aCE]
Ackermann.sub_1bCE [in sub_1bCE]
Ackermann.sub_pr1rCE [in sub_pr1rCE]
Ackermann.sub_int [in sub_int]
Ackermann.sub_le1 [in sub_le1]
Ackermann.sub1a [in sub1a]
Ackermann.sub1b [in sub1b]
Ackermann.sub1Nfin [in sub1Nfin]
Ackermann.succ_psiCE [in succ_psiCE]
Ackermann.succ_is_add_one [in succ_is_add_one]
Ackermann.succ_inj [in succ_inj]
Ackermann.succ_lt [in succ_lt]
Ackermann.succ_p1 [in succ_p1]
Ackermann.succ_nz [in succ_nz]
Ackermann.succ_prCE [in succ_prCE]
Ackermann.succ_pred [in succ_pred]
Ackermann.succ_psi [in succ_psi]
Ackermann.succ_psi1 [in succ_psi1]
Ackermann.succ_psi2 [in succ_psi2]
Ackermann.succ_psi_lt2 [in succ_psi_lt2]
Ackermann.succ_psi_lt [in succ_psi_lt]
Ackermann.sup_Oalpha_limit [in sup_Oalpha_limit]
Ackermann.sup_unique [in sup_unique]
Ackermann.sup_Oalpha_zero [in sup_Oalpha_zero]
Ackermann.sup_Oalpha_succ [in sup_Oalpha_succ]
Ackermann.TT1T3_inj [in TT1T3_inj]
Ackermann.T1succ_nat [in T1succ_nat]
Ackermann.T1T3_lt_epsilon0 [in T1T3_lt_epsilon0]
Ackermann.T1T3_inc [in T1T3_inc]
Ackermann.T1T3_surj [in T1T3_surj]
Ackermann.T3addA [in T3addA]
Ackermann.T3addn0 [in T3addn0]
Ackermann.T3addS [in T3addS]
Ackermann.T3add_eq0 [in T3add_eq0]
Ackermann.T3add0n [in T3add0n]
Ackermann.T3eqE [in T3eqE]
Ackermann.T3eqP [in T3eqP]
Ackermann.T3eq_add2l [in T3eq_add2l]
Ackermann.T3eq_le [in T3eq_le]
Ackermann.T3finite_succ [in T3finite_succ]
Ackermann.T3finite1 [in T3finite1]
Ackermann.T3finite2 [in T3finite2]
Ackermann.T3ge1 [in T3ge1]
Ackermann.T3gt1 [in T3gt1]
Ackermann.T3lcp0_pr [in T3lcp0_pr]
Ackermann.T3leNgt [in T3leNgt]
Ackermann.T3lenn [in T3lenn]
Ackermann.T3len0 [in T3len0]
Ackermann.T3leP [in T3leP]
Ackermann.T3le_consE [in T3le_consE]
Ackermann.T3le_psi [in T3le_psi]
Ackermann.T3le_anti [in T3le_anti]
Ackermann.T3le_eqVlt [in T3le_eqVlt]
Ackermann.T3le_total [in T3le_total]
Ackermann.T3le_add2l [in T3le_add2l]
Ackermann.T3le_add2r [in T3le_add2r]
Ackermann.T3le_trans [in T3le_trans]
Ackermann.T3le_lt_trans [in T3le_lt_trans]
Ackermann.T3le0n [in T3le0n]
Ackermann.T3ltE [in T3ltE]
Ackermann.T3ltgtP [in T3ltgtP]
Ackermann.T3ltNge [in T3ltNge]
Ackermann.T3ltnn [in T3ltnn]
Ackermann.T3ltn0 [in T3ltn0]
Ackermann.T3ltP [in T3ltP]
Ackermann.T3ltW [in T3ltW]
Ackermann.T3lt_anti [in T3lt_anti]
Ackermann.T3lt_le_trans [in T3lt_le_trans]
Ackermann.T3lt_trichotomy [in T3lt_trichotomy]
Ackermann.T3lt_add2l [in T3lt_add2l]
Ackermann.T3lt_add2r [in T3lt_add2r]
Ackermann.T3lt_trans [in T3lt_trans]
Ackermann.T3lt_ne [in T3lt_ne]
Ackermann.T3lt_consE [in T3lt_consE]
Ackermann.T3lt_psi' [in T3lt_psi']
Ackermann.T3lt_psi_bc [in T3lt_psi_bc]
Ackermann.T3lt_neAle [in T3lt_neAle]
Ackermann.T3lt_ne' [in T3lt_ne']
Ackermann.T3lt_psi_a [in T3lt_psi_a]
Ackermann.T3lt_psi_b [in T3lt_psi_b]
Ackermann.T3lt_psi_c [in T3lt_psi_c]
Ackermann.T3lt_psi [in T3lt_psi]
Ackermann.T3lt0n [in T3lt0n]
Ackermann.T3lt1 [in T3lt1]
Ackermann.T3nf_finite [in T3nf_finite]
Ackermann.T3subnn [in T3subnn]
Ackermann.T3subn0 [in T3subn0]
Ackermann.T3sub0n [in T3sub0n]
Axioms.equal_or_not [in equal_or_not]
Axioms.excluded_middle [in excluded_middle]
Axioms.iff_neg [in iff_neg]
Axioms.iff_sym [in iff_sym]
Axioms.iff_trans [in iff_trans]
Axioms.inc_or_not [in inc_or_not]
Axioms.proj31 [in proj31]
Axioms.proj31_1 [in proj31_1]
Axioms.proj32 [in proj32]
Axioms.proj32_1 [in proj32_1]
Axioms.proj33 [in proj33]
B
Bell_rec [in Bell_rec]Bell0 [in Bell0]
Bell1 [in Bell1]
Bfunction.acreate_function [in acreate_function]
Bfunction.acreate_triple [in acreate_triple]
Bfunction.acreate_P [in acreate_P]
Bfunction.acreate_V [in acreate_V]
Bfunction.acreate_source [in acreate_source]
Bfunction.acreate_target [in acreate_target]
Bfunction.acreate_exten [in acreate_exten]
Bfunction.acreate_fb [in acreate_fb]
Bfunction.acreate_fi [in acreate_fi]
Bfunction.acreate_fs [in acreate_fs]
Bfunction.agrees_same_restriction [in agrees_same_restriction]
Bfunction.agrees_same_restrictionC [in agrees_same_restrictionC]
Bfunction.bcreate_eq [in bcreate_eq]
Bfunction.bcreate_fb [in bcreate_fb]
Bfunction.bcreate_fi [in bcreate_fi]
Bfunction.bcreate_fs [in bcreate_fs]
Bfunction.bcreate_inv1 [in bcreate_inv1]
Bfunction.bcreate_inv2 [in bcreate_inv2]
Bfunction.bcreate_inv3 [in bcreate_inv3]
Bfunction.bcreate1_fb [in bcreate1_fb]
Bfunction.bcreate1_fi [in bcreate1_fi]
Bfunction.bcreate1_fs [in bcreate1_fs]
Bfunction.bijection_coq [in bijection_coq]
Bfunction.bijectiveC_pr [in bijectiveC_pr]
Bfunction.bijective_inverseC [in bijective_inverseC]
Bfunction.bijective_ext_to_prod2C [in bijective_ext_to_prod2C]
Bfunction.bijective_from_compose [in bijective_from_compose]
Bfunction.bijective_inv_f [in bijective_inv_f]
Bfunction.bijective_pr [in bijective_pr]
Bfunction.bijective_double_inverseC [in bijective_double_inverseC]
Bfunction.bijective_double_inverseC1 [in bijective_double_inverseC1]
Bfunction.bij_right_inverseC [in bij_right_inverseC]
Bfunction.bij_left_inverseC [in bij_left_inverseC]
Bfunction.bij_surj [in bij_surj]
Bfunction.bij_left_inverse [in bij_left_inverse]
Bfunction.bij_right_inverse [in bij_right_inverse]
Bfunction.bij_inj [in bij_inj]
Bfunction.bij_function [in bij_function]
Bfunction.canonical_decomposition1 [in canonical_decomposition1]
Bfunction.canonical_decomposition1C [in canonical_decomposition1C]
Bfunction.canonical_injection_p1 [in canonical_injection_p1]
Bfunction.ci_fi [in ci_fi]
Bfunction.ci_range [in ci_range]
Bfunction.ci_V [in ci_V]
Bfunction.ci_f [in ci_f]
Bfunction.compfA [in compfA]
Bfunction.compf_graph [in compf_graph]
Bfunction.compf_regl [in compf_regl]
Bfunction.compf_regr [in compf_regr]
Bfunction.compf_id_l [in compf_id_l]
Bfunction.compf_id_r [in compf_id_r]
Bfunction.compf_lK [in compf_lK]
Bfunction.compf_domg [in compf_domg]
Bfunction.compf_rK [in compf_rK]
Bfunction.compf_V [in compf_V]
Bfunction.compf_f [in compf_f]
Bfunction.compf_s [in compf_s]
Bfunction.compf_t [in compf_t]
Bfunction.composable_f_inv [in composable_f_inv]
Bfunction.composable_pr [in composable_pr]
Bfunction.composable_ext_to_prod2 [in composable_ext_to_prod2]
Bfunction.composable_inv_f [in composable_inv_f]
Bfunction.composable_acreate [in composable_acreate]
Bfunction.composeC_surj [in composeC_surj]
Bfunction.composeC_ev [in composeC_ev]
Bfunction.composeC_bij [in composeC_bij]
Bfunction.composeC_inj [in composeC_inj]
Bfunction.compose_ext_to_prod2 [in compose_ext_to_prod2]
Bfunction.compose_id_leftC [in compose_id_leftC]
Bfunction.compose_fb [in compose_fb]
Bfunction.compose_fi [in compose_fi]
Bfunction.compose_fs [in compose_fs]
Bfunction.compose_ext_to_prod2C [in compose_ext_to_prod2C]
Bfunction.compose_id_rightC [in compose_id_rightC]
Bfunction.compose_acreate [in compose_acreate]
Bfunction.compositionC_A [in compositionC_A]
Bfunction.constant_V [in constant_V]
Bfunction.constant_f [in constant_f]
Bfunction.constant_g [in constant_g]
Bfunction.constant_s [in constant_s]
Bfunction.constant_t [in constant_t]
Bfunction.constant_fun_constantC [in constant_fun_constantC]
Bfunction.constant_prop1 [in constant_prop1]
Bfunction.constant_prop2 [in constant_prop2]
Bfunction.constant_prop3 [in constant_prop3]
Bfunction.constant_prop4 [in constant_prop4]
Bfunction.constant_prop5 [in constant_prop5]
Bfunction.constant_prop6 [in constant_prop6]
Bfunction.constant_constant_fun [in constant_constant_fun]
Bfunction.constant_prop [in constant_prop]
Bfunction.constant_function_pr2 [in constant_function_pr2]
Bfunction.constant_function_pr3 [in constant_function_pr3]
Bfunction.diag_app_range [in diag_app_range]
Bfunction.diag_app_V [in diag_app_V]
Bfunction.diag_app_f [in diag_app_f]
Bfunction.diag_app_fi [in diag_app_fi]
Bfunction.direct_inv_im_surjective [in direct_inv_im_surjective]
Bfunction.direct_inv_im [in direct_inv_im]
Bfunction.empty_function_graph [in empty_function_graph]
Bfunction.empty_source_graph2 [in empty_source_graph2]
Bfunction.empty_function_p1 [in empty_function_p1]
Bfunction.empty_function_p2 [in empty_function_p2]
Bfunction.empty_function_tg_function [in empty_function_tg_function]
Bfunction.empty_target_graph [in empty_target_graph]
Bfunction.empty_source_graph [in empty_source_graph]
Bfunction.empty_function_function [in empty_function_function]
Bfunction.equipotentC [in equipotentC]
Bfunction.equipotentR [in equipotentR]
Bfunction.equipotentS [in equipotentS]
Bfunction.equipotentT [in equipotentT]
Bfunction.equipotent_restriction1 [in equipotent_restriction1]
Bfunction.equipotent_indexed [in equipotent_indexed]
Bfunction.equipotent_rindexed [in equipotent_rindexed]
Bfunction.equipotent_range [in equipotent_range]
Bfunction.equipotent_aux [in equipotent_aux]
Bfunction.equipotent_product_sym [in equipotent_product_sym]
Bfunction.equipotent_source_graph [in equipotent_source_graph]
Bfunction.exists_right_composable_auxC [in exists_right_composable_auxC]
Bfunction.exists_left_composable [in exists_left_composable]
Bfunction.exists_right_composableC [in exists_right_composableC]
Bfunction.exists_unique_left_composableC [in exists_unique_left_composableC]
Bfunction.exists_unique_left_composable [in exists_unique_left_composable]
Bfunction.exists_left_composable_aux [in exists_left_composable_aux]
Bfunction.exists_left_inv_from_injC [in exists_left_inv_from_injC]
Bfunction.exists_right_composable_aux [in exists_right_composable_aux]
Bfunction.exists_right_inv_from_surjC [in exists_right_inv_from_surjC]
Bfunction.exists_left_composable_auxC [in exists_left_composable_auxC]
Bfunction.exists_right_inv_from_surj [in exists_right_inv_from_surj]
Bfunction.exists_left_composableC [in exists_left_composableC]
Bfunction.exists_right_composable_unique [in exists_right_composable_unique]
Bfunction.exists_left_inv_from_inj [in exists_left_inv_from_inj]
Bfunction.exists_right_composable_uniqueC [in exists_right_composable_uniqueC]
Bfunction.exists_right_composable [in exists_right_composable]
Bfunction.extendsC_pr [in extendsC_pr]
Bfunction.extends_Ssource [in extends_Ssource]
Bfunction.extends_sV [in extends_sV]
Bfunction.extension_f_injective [in extension_f_injective]
Bfunction.extension_restr [in extension_restr]
Bfunction.extension_Vf_in [in extension_Vf_in]
Bfunction.extension_fs [in extension_fs]
Bfunction.extension_f [in extension_f]
Bfunction.extension_Vf_out [in extension_Vf_out]
Bfunction.extension_injective [in extension_injective]
Bfunction.ext_to_prod_r [in ext_to_prod_r]
Bfunction.ext_to_prod_s [in ext_to_prod_s]
Bfunction.ext_to_prod_propJ [in ext_to_prod_propJ]
Bfunction.ext_to_prod_propP [in ext_to_prod_propP]
Bfunction.ext_to_prod_propQ [in ext_to_prod_propQ]
Bfunction.ext_to_prod_prop [in ext_to_prod_prop]
Bfunction.ext_to_prod_V2 [in ext_to_prod_V2]
Bfunction.ext_to_prod_fb [in ext_to_prod_fb]
Bfunction.ext_to_prod_fi [in ext_to_prod_fi]
Bfunction.ext_to_prod_fs [in ext_to_prod_fs]
Bfunction.ext_to_prod_inverse [in ext_to_prod_inverse]
Bfunction.ext_to_prod_V [in ext_to_prod_V]
Bfunction.ext_to_prod_f [in ext_to_prod_f]
Bfunction.fcomp_identity_left [in fcomp_identity_left]
Bfunction.first_proj_fi [in first_proj_fi]
Bfunction.first_proj_fs [in first_proj_fs]
Bfunction.first_proj_V [in first_proj_V]
Bfunction.first_proj_f [in first_proj_f]
Bfunction.functionalP [in functionalP]
Bfunction.function_extends_restC [in function_extends_restC]
Bfunction.function_extends_restr [in function_extends_restr]
Bfunction.function_exten [in function_exten]
Bfunction.function_functional [in function_functional]
Bfunction.function_rest_of_prolongation [in function_rest_of_prolongation]
Bfunction.function_exten1 [in function_exten1]
Bfunction.function_exten2 [in function_exten2]
Bfunction.function_exten3 [in function_exten3]
Bfunction.function_exten4 [in function_exten4]
Bfunction.function_pr [in function_pr]
Bfunction.function_fgraph [in function_fgraph]
Bfunction.function_sgraph [in function_sgraph]
Bfunction.fun_image_Starget1 [in fun_image_Starget1]
Bfunction.fun_image_Starget [in fun_image_Starget]
Bfunction.fun_image_set0 [in fun_image_set0]
Bfunction.fun_image_set1 [in fun_image_set1]
Bfunction.f_domain_graph [in f_domain_graph]
Bfunction.f_range_graph [in f_range_graph]
Bfunction.identityC_fb [in identityC_fb]
Bfunction.identity_Lf [in identity_Lf]
Bfunction.identity_fb [in identity_fb]
Bfunction.identity_prop [in identity_prop]
Bfunction.identity_prop1 [in identity_prop1]
Bfunction.identity_prop2 [in identity_prop2]
Bfunction.identity_V [in identity_V]
Bfunction.identity_f [in identity_f]
Bfunction.ifun_involutive [in ifun_involutive]
Bfunction.iim_fun_C [in iim_fun_C]
Bfunction.iim_fun_r [in iim_fun_r]
Bfunction.iim_fun_set1_hi [in iim_fun_set1_hi]
Bfunction.iim_fun_set1_E [in iim_fun_set1_E]
Bfunction.iim_fun_set1_P [in iim_fun_set1_P]
Bfunction.iim_fun_set1_i [in iim_fun_set1_i]
Bfunction.imageC_exists [in imageC_exists]
Bfunction.imageC_inc [in imageC_inc]
Bfunction.image_by_fun_source [in image_by_fun_source]
Bfunction.inclusionC_compose [in inclusionC_compose]
Bfunction.inclusionC_fi [in inclusionC_fi]
Bfunction.inclusionC_pr [in inclusionC_pr]
Bfunction.inclusionC_identity [in inclusionC_identity]
Bfunction.injective_pr3 [in injective_pr3]
Bfunction.injective_pr_bis [in injective_pr_bis]
Bfunction.injective_ext_to_prod2C [in injective_ext_to_prod2C]
Bfunction.injective_pr [in injective_pr]
Bfunction.inj_if_exists_left_invC [in inj_if_exists_left_invC]
Bfunction.inj_function [in inj_function]
Bfunction.inj_compose1 [in inj_compose1]
Bfunction.inj_left_compose2C [in inj_left_compose2C]
Bfunction.inj_if_exists_left_inv [in inj_if_exists_left_inv]
Bfunction.inj_right_composeC [in inj_right_composeC]
Bfunction.inverseC_pra [in inverseC_pra]
Bfunction.inverseC_prb [in inverseC_prb]
Bfunction.inverseC_prc [in inverseC_prc]
Bfunction.inverse_fun_involutiveC [in inverse_fun_involutiveC]
Bfunction.inverse_ext_to_prod2C [in inverse_ext_to_prod2C]
Bfunction.inverse_Vis [in inverse_Vis]
Bfunction.inverse_bij_fb [in inverse_bij_fb]
Bfunction.inverse_V2 [in inverse_V2]
Bfunction.inverse_V [in inverse_V]
Bfunction.inverse_direct_image_inj [in inverse_direct_image_inj]
Bfunction.inverse_direct_image [in inverse_direct_image]
Bfunction.inv_function_fb [in inv_function_fb]
Bfunction.inv_graph_canon_fb [in inv_graph_canon_fb]
Bfunction.in_graph_Vf [in in_graph_Vf]
Bfunction.left_inverse_compose [in left_inverse_compose]
Bfunction.left_inverse_composable [in left_inverse_composable]
Bfunction.left_inverse_surjectiveC [in left_inverse_surjectiveC]
Bfunction.left_inverse_from_right [in left_inverse_from_right]
Bfunction.left_inverse_comp_id [in left_inverse_comp_id]
Bfunction.left_inv_compose_rf [in left_inv_compose_rf]
Bfunction.left_composable_value [in left_composable_value]
Bfunction.left_inverse_composeC [in left_inverse_composeC]
Bfunction.left_inverse_fs [in left_inverse_fs]
Bfunction.left_inv_compose_rf2C [in left_inv_compose_rf2C]
Bfunction.left_inverse_from_rightC [in left_inverse_from_rightC]
Bfunction.left_inverseC_pr [in left_inverseC_pr]
Bfunction.left_composable_valueC [in left_composable_valueC]
Bfunction.left_compose_fb [in left_compose_fb]
Bfunction.left_compose_fs [in left_compose_fs]
Bfunction.left_compose_fi2 [in left_compose_fi2]
Bfunction.left_compose_fs2 [in left_compose_fs2]
Bfunction.left_i_V [in left_i_V]
Bfunction.left_i_v [in left_i_v]
Bfunction.left_inv_compose_rf2 [in left_inv_compose_rf2]
Bfunction.left_inv_compose_rfC [in left_inv_compose_rfC]
Bfunction.left_i_source [in left_i_source]
Bfunction.left_i_target [in left_i_target]
Bfunction.lf_recovers [in lf_recovers]
Bfunction.lf_function [in lf_function]
Bfunction.lf_V [in lf_V]
Bfunction.lf_source [in lf_source]
Bfunction.lf_target [in lf_target]
Bfunction.lf_injective [in lf_injective]
Bfunction.lf_graph1 [in lf_graph1]
Bfunction.lf_graph2 [in lf_graph2]
Bfunction.lf_graph3 [in lf_graph3]
Bfunction.lf_graph4 [in lf_graph4]
Bfunction.lf_bijective [in lf_bijective]
Bfunction.lf_surjective [in lf_surjective]
Bfunction.nonempty_image [in nonempty_image]
Bfunction.partial_fun1_V [in partial_fun1_V]
Bfunction.partial_fun1_f [in partial_fun1_f]
Bfunction.partial_fun2_V [in partial_fun2_V]
Bfunction.partial_fun2_f [in partial_fun2_f]
Bfunction.partial_fun1_axioms [in partial_fun1_axioms]
Bfunction.partial_fun2_axioms [in partial_fun2_axioms]
Bfunction.prC_prop [in prC_prop]
Bfunction.prJ_prop [in prJ_prop]
Bfunction.prJ_recov [in prJ_recov]
Bfunction.prop_bcreate1 [in prop_bcreate1]
Bfunction.prop_bcreate2 [in prop_bcreate2]
Bfunction.pr1C_prop [in pr1C_prop]
Bfunction.pr2C_prop [in pr2C_prop]
Bfunction.p1graph_source [in p1graph_source]
Bfunction.p1graph_source1 [in p1graph_source1]
Bfunction.p2graph_target1 [in p2graph_target1]
Bfunction.p2graph_target [in p2graph_target]
Bfunction.range_fP [in range_fP]
Bfunction.resrtriction_Lf [in resrtriction_Lf]
Bfunction.restriction_recovers [in restriction_recovers]
Bfunction.restriction_to_imageC_pr [in restriction_to_imageC_pr]
Bfunction.restriction_graph1 [in restriction_graph1]
Bfunction.restriction_V [in restriction_V]
Bfunction.restriction_to_image_axioms [in restriction_to_image_axioms]
Bfunction.restriction_to_imageE [in restriction_to_imageE]
Bfunction.restriction_to_image_fb [in restriction_to_image_fb]
Bfunction.restriction_to_image_fs [in restriction_to_image_fs]
Bfunction.restriction_prop [in restriction_prop]
Bfunction.restriction1_fb [in restriction1_fb]
Bfunction.restriction1_fs [in restriction1_fs]
Bfunction.restriction1_pr [in restriction1_pr]
Bfunction.restriction1_prop [in restriction1_prop]
Bfunction.restriction1_V [in restriction1_V]
Bfunction.restriction2C_pr [in restriction2C_pr]
Bfunction.restriction2C_pr1 [in restriction2C_pr1]
Bfunction.restriction2_prop [in restriction2_prop]
Bfunction.restriction2_props [in restriction2_props]
Bfunction.restriction2_fi [in restriction2_fi]
Bfunction.restriction2_fs [in restriction2_fs]
Bfunction.restriction2_V [in restriction2_V]
Bfunction.restr_range [in restr_range]
Bfunction.restr_setU1 [in restr_setU1]
Bfunction.right_inv_compose_rf2 [in right_inv_compose_rf2]
Bfunction.right_inv_compose_rfC [in right_inv_compose_rfC]
Bfunction.right_inverse_injectiveC [in right_inverse_injectiveC]
Bfunction.right_compose_fb [in right_compose_fb]
Bfunction.right_compose_fi [in right_compose_fi]
Bfunction.right_inverse_from_leftC [in right_inverse_from_leftC]
Bfunction.right_inverse_compose [in right_inverse_compose]
Bfunction.right_inverse_composable [in right_inverse_composable]
Bfunction.right_inverse_comp_id [in right_inverse_comp_id]
Bfunction.right_composable_value [in right_composable_value]
Bfunction.right_i_source [in right_i_source]
Bfunction.right_i_target [in right_i_target]
Bfunction.right_i_V [in right_i_V]
Bfunction.right_i_v [in right_i_v]
Bfunction.right_inverse_composeC [in right_inverse_composeC]
Bfunction.right_inv_compose_rf [in right_inv_compose_rf]
Bfunction.right_inv_compose_rf2C [in right_inv_compose_rf2C]
Bfunction.right_inverse_from_left [in right_inverse_from_left]
Bfunction.right_composable_valueC [in right_composable_valueC]
Bfunction.right_inverse_fi [in right_inverse_fi]
Bfunction.right_inverse_pr [in right_inverse_pr]
Bfunction.same_graph_agrees [in same_graph_agrees]
Bfunction.second_proj_fs [in second_proj_fs]
Bfunction.second_proj_V [in second_proj_V]
Bfunction.second_proj_f [in second_proj_f]
Bfunction.section_uniqueC [in section_uniqueC]
Bfunction.section_unique [in section_unique]
Bfunction.setU1_restr [in setU1_restr]
Bfunction.sub_inv_im_source [in sub_inv_im_source]
Bfunction.sub_function [in sub_function]
Bfunction.sub_image_targetC [in sub_image_targetC]
Bfunction.surjective_pr [in surjective_pr]
Bfunction.surjective_pr0 [in surjective_pr0]
Bfunction.surjective_pr1 [in surjective_pr1]
Bfunction.surjective_pr3 [in surjective_pr3]
Bfunction.surjective_pr4 [in surjective_pr4]
Bfunction.surjective_pr5 [in surjective_pr5]
Bfunction.surjective_ext_to_prod2C [in surjective_ext_to_prod2C]
Bfunction.surj_function [in surj_function]
Bfunction.surj_if_exists_right_inv [in surj_if_exists_right_inv]
Bfunction.surj_left_compose2C [in surj_left_compose2C]
Bfunction.surj_if_exists_right_invC [in surj_if_exists_right_invC]
Bfunction.surj_left_composeCl [in surj_left_composeCl]
Bfunction.Vf_target [in Vf_target]
Bfunction.Vf_image_P [in Vf_image_P]
Bfunction.Vf_pr2 [in Vf_pr2]
Bfunction.Vf_pr3 [in Vf_pr3]
Bfunction.Vf_pr [in Vf_pr]
Bfunction.Vf_image_P1 [in Vf_image_P1]
Bfunction.Vf_range_g [in Vf_range_g]
Bfunction.Vf_mapping [in Vf_mapping]
bigop_simpl1 [in bigop_simpl1]
big_ord1 [in big_ord1]
big_ord_rev [in big_ord_rev]
binn [in binn]
binom_exchange [in binom_exchange]
binom_mn_n [in binom_mn_n]
binom_exchange1 [in binom_exchange1]
bin_vandermonde [in bin_vandermonde]
bin2' [in bin2']
Border.adjoin_greatest [in adjoin_greatest]
Border.axioms_of_order [in axioms_of_order]
Border.bounded_above_sub [in bounded_above_sub]
Border.bounded_below_sub [in bounded_below_sub]
Border.bounded_both_sub [in bounded_both_sub]
Border.coarser_osr [in coarser_osr]
Border.coarser_preorder_osr [in coarser_preorder_osr]
Border.coarser_preorder_gleP [in coarser_preorder_gleP]
Border.coarser_preorder_gleP1 [in coarser_preorder_gleP1]
Border.coarser_gleP [in coarser_gleP]
Border.cofinal_right_directed [in cofinal_right_directed]
Border.coinitial_left_directed [in coinitial_left_directed]
Border.compare_inf_sup1 [in compare_inf_sup1]
Border.compare_inf_sup2 [in compare_inf_sup2]
Border.compatible_equivalence_preorder1 [in compatible_equivalence_preorder1]
Border.compatible_equivalence_preorder [in compatible_equivalence_preorder]
Border.compose_order_morphism [in compose_order_morphism]
Border.compose_order_is [in compose_order_is]
Border.compose3_relP [in compose3_relP]
Border.constant_fun_increasing [in constant_fun_increasing]
Border.constant_fun_decreasing [in constant_fun_decreasing]
Border.decreasing_fun_reva [in decreasing_fun_reva]
Border.decreasing_fun_revb [in decreasing_fun_revb]
Border.decreasing_composition [in decreasing_composition]
Border.eao_P [in eao_P]
Border.emptyset_is_least [in emptyset_is_least]
Border.empty_interval [in empty_interval]
Border.equality_order_r [in equality_order_r]
Border.equivalence_associated_o_sr [in equivalence_associated_o_sr]
Border.equivalence_preorder1 [in equivalence_preorder1]
Border.equivalence_preorder [in equivalence_preorder]
Border.exists_greatest_cofinalP [in exists_greatest_cofinalP]
Border.exists_least_coinitialP [in exists_least_coinitialP]
Border.extension_orderP [in extension_orderP]
Border.extension_osr [in extension_osr]
Border.extension_order_P1 [in extension_order_P1]
Border.extension_order_P2 [in extension_order_P2]
Border.extension_order_pr [in extension_order_pr]
Border.fos_V [in fos_V]
Border.fos_d [in fos_d]
Border.fos_graph [in fos_graph]
Border.glbP [in glbP]
Border.glb_set0 [in glb_set0]
Border.glb_set2 [in glb_set2]
Border.gop_axioms [in gop_axioms]
Border.gop_V [in gop_V]
Border.gop_morphism [in gop_morphism]
Border.graph_of_function_fb [in graph_of_function_fb]
Border.graph_of_function_is [in graph_of_function_is]
Border.graph_of_function_sub [in graph_of_function_sub]
Border.graph_of_function_V [in graph_of_function_V]
Border.graph_of_function_f [in graph_of_function_f]
Border.greater_upper_bound [in greater_upper_bound]
Border.greatest_maximal [in greatest_maximal]
Border.greatest_elementP [in greatest_elementP]
Border.greatest_partition_is_greatest [in greatest_partition_is_greatest]
Border.greatest_induced [in greatest_induced]
Border.greatest_unique_maximal [in greatest_unique_maximal]
Border.greatest_right_directed [in greatest_right_directed]
Border.greatest_opposite [in greatest_opposite]
Border.greatest_is_setU [in greatest_is_setU]
Border.greatest_is_sup [in greatest_is_sup]
Border.greatest_prolongation [in greatest_prolongation]
Border.identity_is [in identity_is]
Border.identity_morphism [in identity_morphism]
Border.identity_increasing_decreasing [in identity_increasing_decreasing]
Border.increasing_fun_reva [in increasing_fun_reva]
Border.increasing_fun_revb [in increasing_fun_revb]
Border.inc_supremum_substrate [in inc_supremum_substrate]
Border.inc_infimum_substrate [in inc_infimum_substrate]
Border.infimum_pr [in infimum_pr]
Border.infimum_pr1 [in infimum_pr1]
Border.infimum_pr2 [in infimum_pr2]
Border.infimum_unique [in infimum_unique]
Border.infimum_singleton [in infimum_singleton]
Border.inf_comparable [in inf_comparable]
Border.inf_decreasing1 [in inf_decreasing1]
Border.inf_increasing2 [in inf_increasing2]
Border.inf_inclusion [in inf_inclusion]
Border.inf_sup_oppP [in inf_sup_oppP]
Border.inf_A1 [in inf_A1]
Border.inf_A2 [in inf_A2]
Border.inf_A3 [in inf_A3]
Border.inf_decreasing [in inf_decreasing]
Border.inf_monotone [in inf_monotone]
Border.inf_pr [in inf_pr]
Border.inf_in_product [in inf_in_product]
Border.inf_A [in inf_A]
Border.inf_C [in inf_C]
Border.inf_in_total_order [in inf_in_total_order]
Border.inf_induced1 [in inf_induced1]
Border.inf_induced2 [in inf_induced2]
Border.inf_comparable1 [in inf_comparable1]
Border.inverse_order_is [in inverse_order_is]
Border.iorder_substrate [in iorder_substrate]
Border.iorder_preorder [in iorder_preorder]
Border.iorder_trans [in iorder_trans]
Border.iorder_osr [in iorder_osr]
Border.iorder_opposite [in iorder_opposite]
Border.iorder_gle5P [in iorder_gle5P]
Border.iorder_gle6P [in iorder_gle6P]
Border.iorder_sr [in iorder_sr]
Border.iorder_gle1 [in iorder_gle1]
Border.iorder_gle2 [in iorder_gle2]
Border.iorder_gle3 [in iorder_gle3]
Border.iorder_gle4 [in iorder_gle4]
Border.iorder_gleP [in iorder_gleP]
Border.is_inf_graph_pr1 [in is_inf_graph_pr1]
Border.is_sup_graph_pr1 [in is_sup_graph_pr1]
Border.is_sup_funP [in is_sup_funP]
Border.is_inf_graphP [in is_inf_graphP]
Border.is_sup_graphP [in is_sup_graphP]
Border.is_inf_funP [in is_inf_funP]
Border.lattice_props [in lattice_props]
Border.lattice_opposite [in lattice_opposite]
Border.lattice_finite_sup1 [in lattice_finite_sup1]
Border.lattice_sup_pr [in lattice_sup_pr]
Border.lattice_inf_pr [in lattice_inf_pr]
Border.lattice_finite_inf1 [in lattice_finite_inf1]
Border.lattice_directed [in lattice_directed]
Border.least_equivalence [in least_equivalence]
Border.least_partition_is_least [in least_partition_is_least]
Border.least_minimal [in least_minimal]
Border.least_prolongation [in least_prolongation]
Border.least_unique_minimal [in least_unique_minimal]
Border.least_opposite [in least_opposite]
Border.least_greatest_pr [in least_greatest_pr]
Border.least_elementP [in least_elementP]
Border.least_induced [in least_induced]
Border.least_left_directed [in least_left_directed]
Border.least_and_greatest [in least_and_greatest]
Border.least_is_setI [in least_is_setI]
Border.least_is_inf [in least_is_inf]
Border.left_directed_minimal [in left_directed_minimal]
Border.left_directedP [in left_directedP]
Border.leq_lt_trans [in leq_lt_trans]
Border.lt_leq_trans [in lt_leq_trans]
Border.lt_lt_trans [in lt_lt_trans]
Border.lubP [in lubP]
Border.lub_set0 [in lub_set0]
Border.lub_set2 [in lub_set2]
Border.maximal_opp [in maximal_opp]
Border.maximal_prolongation [in maximal_prolongation]
Border.minimal_opp [in minimal_opp]
Border.minimal_inclusion [in minimal_inclusion]
Border.monotone_fun_reva [in monotone_fun_reva]
Border.monotone_fun_revb [in monotone_fun_revb]
Border.nonempty_closed_interval [in nonempty_closed_interval]
Border.not_le_gt [in not_le_gt]
Border.oap_pr [in oap_pr]
Border.oap_relP1 [in oap_relP1]
Border.oap_relP2 [in oap_relP2]
Border.oap_osr [in oap_osr]
Border.oap_graph [in oap_graph]
Border.opposite_upper_boundP [in opposite_upper_boundP]
Border.opposite_left_directedP [in opposite_left_directedP]
Border.opposite_lower_boundP [in opposite_lower_boundP]
Border.opposite_right_directedP [in opposite_right_directedP]
Border.opposite_is_preorder1 [in opposite_is_preorder1]
Border.opposite_order_r [in opposite_order_r]
Border.opposite_preorder_r [in opposite_preorder_r]
Border.opp_osr [in opp_osr]
Border.opp_gleP [in opp_gleP]
Border.opp_gltP [in opp_gltP]
Border.orderIR [in orderIR]
Border.orderIS [in orderIS]
Border.orderIT [in orderIT]
Border.orderP [in orderP]
Border.order_morphism_increasing [in order_morphism_increasing]
Border.order_with_greatest_pr [in order_with_greatest_pr]
Border.order_product_gleP [in order_product_gleP]
Border.order_morphism_siso [in order_morphism_siso]
Border.order_graph_osr [in order_graph_osr]
Border.order_isomorphism_ws [in order_isomorphism_ws]
Border.order_graph_pr1 [in order_graph_pr1]
Border.order_function_osr [in order_function_osr]
Border.order_isomorphism_incr [in order_isomorphism_incr]
Border.order_product2_P [in order_product2_P]
Border.order_morphism_sincr [in order_morphism_sincr]
Border.order_graph_r_P [in order_graph_r_P]
Border.order_transportation [in order_transportation]
Border.order_product_osr [in order_product_osr]
Border.order_isomorphism_increasing [in order_isomorphism_increasing]
Border.order_fam_cst [in order_fam_cst]
Border.order_exten [in order_exten]
Border.order_functionP [in order_functionP]
Border.order_graph_pr [in order_graph_pr]
Border.order_morphism_incr [in order_morphism_incr]
Border.order_function_is [in order_function_is]
Border.order_structure [in order_structure]
Border.order_isomorphism_sincr [in order_isomorphism_sincr]
Border.order_isomorphism_P [in order_isomorphism_P]
Border.order_isomorphism_w [in order_isomorphism_w]
Border.order_morphism_fi [in order_morphism_fi]
Border.order_reflexivityP [in order_reflexivityP]
Border.order_antisymmetry [in order_antisymmetry]
Border.order_transitivity [in order_transitivity]
Border.order_function_is1 [in order_function_is1]
Border.order_isomorphism_opposite [in order_isomorphism_opposite]
Border.order_isomorphism_siso [in order_isomorphism_siso]
Border.order_from_rel1 [in order_from_rel1]
Border.partitionsP [in partitionsP]
Border.partition_relset_order [in partition_relset_order]
Border.partition_relset_pr1 [in partition_relset_pr1]
Border.partition_set_in_PP [in partition_set_in_PP]
Border.partition_relset_pr [in partition_relset_pr]
Border.part_relset_anti [in part_relset_anti]
Border.pfs_V [in pfs_V]
Border.pfs_f [in pfs_f]
Border.pfs_partition [in pfs_partition]
Border.preorderP [in preorderP]
Border.preordersP [in preordersP]
Border.preorder_prop1 [in preorder_prop1]
Border.preorder_reflexivity [in preorder_reflexivity]
Border.product_order_def [in product_order_def]
Border.prod_of_substrates_gi [in prod_of_substrates_gi]
Border.prod_of_substrates_p [in prod_of_substrates_p]
Border.prod_of_substratesP [in prod_of_substratesP]
Border.prs_is_equivalence [in prs_is_equivalence]
Border.right_directedP [in right_directedP]
Border.right_directed_maximal [in right_directed_maximal]
Border.setC_decreasing [in setC_decreasing]
Border.setI_i1 [in setI_i1]
Border.setI_i2 [in setI_i2]
Border.setI_i3 [in setI_i3]
Border.setI_inf [in setI_inf]
Border.setI_is_least [in setI_is_least]
Border.setI_interval [in setI_interval]
Border.setI_inf1 [in setI_inf1]
Border.setI2_4 [in setI2_4]
Border.setP_lattice [in setP_lattice]
Border.setP_lattice_pr [in setP_lattice_pr]
Border.setU_sup1 [in setU_sup1]
Border.setU_sup [in setU_sup]
Border.setU_is_greatest [in setU_is_greatest]
Border.setX_right_directed [in setX_right_directed]
Border.setX_lattice [in setX_lattice]
Border.setX_left_directed [in setX_left_directed]
Border.set_of_upper_bounds1_P [in set_of_upper_bounds1_P]
Border.set_of_upper_bounds1_decreasing [in set_of_upper_bounds1_decreasing]
Border.set_of_upper_bounds_set0 [in set_of_upper_bounds_set0]
Border.set_of_graphs_pr [in set_of_graphs_pr]
Border.set_of_lower_bounds_set0 [in set_of_lower_bounds_set0]
Border.singleton_interval [in singleton_interval]
Border.singleton_bounded [in singleton_bounded]
Border.smaller_lower_bound [in smaller_lower_bound]
Border.strict_decreasing_fun_reva [in strict_decreasing_fun_reva]
Border.strict_decreasing_fun_revb [in strict_decreasing_fun_revb]
Border.strict_increasing_fun_reva [in strict_increasing_fun_reva]
Border.strict_increasing_fun_revb [in strict_increasing_fun_revb]
Border.strict_decreasing_from_injective [in strict_decreasing_from_injective]
Border.strict_increasing_w [in strict_increasing_w]
Border.strict_monotone_fun_reva [in strict_monotone_fun_reva]
Border.strict_monotone_fun_revb [in strict_monotone_fun_revb]
Border.strict_decreasing_w [in strict_decreasing_w]
Border.strict_increasing_from_injective [in strict_increasing_from_injective]
Border.strict_monotone_from_injective [in strict_monotone_from_injective]
Border.subp_gleP [in subp_gleP]
Border.subp_osr [in subp_osr]
Border.sub_osr [in sub_osr]
Border.sub_gleP [in sub_gleP]
Border.sub_part_relsetX [in sub_part_relsetX]
Border.sub_order_r [in sub_order_r]
Border.sub_upper_bound [in sub_upper_bound]
Border.sub_lower_bound [in sub_lower_bound]
Border.supremum_pr [in supremum_pr]
Border.supremum_singleton [in supremum_singleton]
Border.supremum_unique [in supremum_unique]
Border.supremum_pr1 [in supremum_pr1]
Border.supremum_pr2 [in supremum_pr2]
Border.sup_in_product [in sup_in_product]
Border.sup_A1 [in sup_A1]
Border.sup_A2 [in sup_A2]
Border.sup_A3 [in sup_A3]
Border.sup_induced1 [in sup_induced1]
Border.sup_induced2 [in sup_induced2]
Border.sup_increasing [in sup_increasing]
Border.sup_in_total_order [in sup_in_total_order]
Border.sup_inclusion [in sup_inclusion]
Border.sup_comparable1 [in sup_comparable1]
Border.sup_pr [in sup_pr]
Border.sup_monotone [in sup_monotone]
Border.sup_inf_oppP [in sup_inf_oppP]
Border.sup_A [in sup_A]
Border.sup_C [in sup_C]
Border.sup_increasing1 [in sup_increasing1]
Border.sup_increasing2 [in sup_increasing2]
Border.sup_extension_order1 [in sup_extension_order1]
Border.sup_extension_order2 [in sup_extension_order2]
Border.sup_comparable [in sup_comparable]
Border.the_greatest_pr [in the_greatest_pr]
Border.the_greatest_interval [in the_greatest_interval]
Border.the_least_pr2 [in the_least_pr2]
Border.the_least_interval [in the_least_interval]
Border.the_least_opposite [in the_least_opposite]
Border.the_greatest_pr2 [in the_greatest_pr2]
Border.the_least_pr [in the_least_pr]
Border.total_order_increasing_morphism [in total_order_increasing_morphism]
Border.total_order_sub [in total_order_sub]
Border.total_order_directed [in total_order_directed]
Border.total_order_monotone_injective [in total_order_monotone_injective]
Border.total_order_counterexample [in total_order_counterexample]
Border.total_orderP [in total_orderP]
Border.total_order_small [in total_order_small]
Border.total_order_morphism [in total_order_morphism]
Border.total_order_opposite [in total_order_opposite]
Border.total_order_lattice [in total_order_lattice]
Border.total_order_isomorphism [in total_order_isomorphism]
Border.total_order_pr1 [in total_order_pr1]
Border.total_order_pr2 [in total_order_pr2]
Border.unique_greatest [in unique_greatest]
Border.unique_least [in unique_least]
Border.wholeset_is_greatest [in wholeset_is_greatest]
Bordinal.CantorBernstein [in CantorBernstein]
Bordinal.Cantor_Bernstein1 [in Cantor_Bernstein1]
Bordinal.cardinalP [in cardinalP]
Bordinal.cardinalV_unique [in cardinalV_unique]
Bordinal.cardinalV_pr0 [in cardinalV_pr0]
Bordinal.cardinalV_pr [in cardinalV_pr]
Bordinal.cardinal_range [in cardinal_range]
Bordinal.cardinal_nonemptyset [in cardinal_nonemptyset]
Bordinal.cardinal_image [in cardinal_image]
Bordinal.cardinal_pr [in cardinal_pr]
Bordinal.cardinal_pr0 [in cardinal_pr0]
Bordinal.cardinal_set0 [in cardinal_set0]
Bordinal.cardinal_irreflexive [in cardinal_irreflexive]
Bordinal.cardinal_indexed [in cardinal_indexed]
Bordinal.cardinal_nonemptyset0 [in cardinal_nonemptyset0]
Bordinal.cardinal_nonemptyset1 [in cardinal_nonemptyset1]
Bordinal.cardinal_ordinal_le [in cardinal_ordinal_le]
Bordinal.cardinal_indexedr [in cardinal_indexedr]
Bordinal.Cardinal.cardinalE [in cardinalE]
Bordinal.card_12 [in card_12]
Bordinal.card_succ_pr1 [in card_succ_pr1]
Bordinal.card_succ_pr2 [in card_succ_pr2]
Bordinal.card_card [in card_card]
Bordinal.card_succ_pr [in card_succ_pr]
Bordinal.card_eqP [in card_eqP]
Bordinal.card1_nz [in card1_nz]
Bordinal.card2_nz [in card2_nz]
Bordinal.constants_v [in constants_v]
Bordinal.CS_succ_o [in CS_succ_o]
Bordinal.CS_finite2 [in CS_finite2]
Bordinal.CS_succ [in CS_succ]
Bordinal.CS_finite_o [in CS_finite_o]
Bordinal.CS_omega [in CS_omega]
Bordinal.CS_cardinal [in CS_cardinal]
Bordinal.CS0 [in CS0]
Bordinal.CS1 [in CS1]
Bordinal.CS2 [in CS2]
Bordinal.double_cardinal [in double_cardinal]
Bordinal.equipotent_to_emptyset [in equipotent_to_emptyset]
Bordinal.finite_zero [in finite_zero]
Bordinal.finite_one [in finite_one]
Bordinal.finite_oP [in finite_oP]
Bordinal.finite_succ [in finite_succ]
Bordinal.finite_two [in finite_two]
Bordinal.finite_o_increasing [in finite_o_increasing]
Bordinal.infinite_dichot1 [in infinite_dichot1]
Bordinal.infinite_dichot2 [in infinite_dichot2]
Bordinal.infinite_pr1 [in infinite_pr1]
Bordinal.infinite_card_limit1 [in infinite_card_limit1]
Bordinal.infinite_card_limit2 [in infinite_card_limit2]
Bordinal.infinite_oP [in infinite_oP]
Bordinal.infinite_nz [in infinite_nz]
Bordinal.infinite_set_pr [in infinite_set_pr]
Bordinal.infinite_o_increasing [in infinite_o_increasing]
Bordinal.infinite_set_pr1 [in infinite_set_pr1]
Bordinal.infinite_set_pr2 [in infinite_set_pr2]
Bordinal.infinite_set_pr3 [in infinite_set_pr3]
Bordinal.infinite_setP [in infinite_setP]
Bordinal.least_ordinal1 [in least_ordinal1]
Bordinal.least_ordinal2 [in least_ordinal2]
Bordinal.least_ordinal3 [in least_ordinal3]
Bordinal.least_ordinal4 [in least_ordinal4]
Bordinal.least_ordinal6 [in least_ordinal6]
Bordinal.limit_ordinal_P1 [in limit_ordinal_P1]
Bordinal.limit_ordinal_P3 [in limit_ordinal_P3]
Bordinal.limit_ordinal_pr2 [in limit_ordinal_pr2]
Bordinal.limit_infinite [in limit_infinite]
Bordinal.nat_infinite_set [in nat_infinite_set]
Bordinal.non_collectivizing_ordinal [in non_collectivizing_ordinal]
Bordinal.omega_infinitec [in omega_infinitec]
Bordinal.omega_limit [in omega_limit]
Bordinal.omega_infinite [in omega_infinite]
Bordinal.omega_P1 [in omega_P1]
Bordinal.omega_P2 [in omega_P2]
Bordinal.omega_limit0 [in omega_limit0]
Bordinal.omega_limit2 [in omega_limit2]
Bordinal.omega_limit3 [in omega_limit3]
Bordinal.omega0_pr [in omega0_pr]
Bordinal.order_le_alt2 [in order_le_alt2]
Bordinal.order_le_alt [in order_le_alt]
Bordinal.order_leR [in order_leR]
Bordinal.order_le_compatible [in order_le_compatible]
Bordinal.order_cp0 [in order_cp0]
Bordinal.order_cp1 [in order_cp1]
Bordinal.order_cp2 [in order_cp2]
Bordinal.order_cp3 [in order_cp3]
Bordinal.order_le_compatible1 [in order_le_compatible1]
Bordinal.ordinal_setI [in ordinal_setI]
Bordinal.ordinal_lt_P [in ordinal_lt_P]
Bordinal.ordinal_irreflexive [in ordinal_irreflexive]
Bordinal.ordinal_isomorphism_exists [in ordinal_isomorphism_exists]
Bordinal.ordinal_le_order_r [in ordinal_le_order_r]
Bordinal.ordinal_o_o [in ordinal_o_o]
Bordinal.ordinal_le_P0 [in ordinal_le_P0]
Bordinal.ordinal_le_P1 [in ordinal_le_P1]
Bordinal.ordinal_o_is [in ordinal_o_is]
Bordinal.ordinal_o_or [in ordinal_o_or]
Bordinal.ordinal_sub4P [in ordinal_sub4P]
Bordinal.ordinal_le_P [in ordinal_le_P]
Bordinal.ordinal_o_sr [in ordinal_o_sr]
Bordinal.ordinal_o_tor [in ordinal_o_tor]
Bordinal.ordinal_pr1 [in ordinal_pr1]
Bordinal.ordinal_lt_pr2 [in ordinal_lt_pr2]
Bordinal.ordinal_o_wor [in ordinal_o_wor]
Bordinal.ordinal_sub [in ordinal_sub]
Bordinal.ordinal_segment [in ordinal_segment]
Bordinal.ordinal_set_ordinal [in ordinal_set_ordinal]
Bordinal.ordinal_transitive [in ordinal_transitive]
Bordinal.ordinal_decent [in ordinal_decent]
Bordinal.ordinal_o_isu1 [in ordinal_o_isu1]
Bordinal.ordinal_o_isu2 [in ordinal_o_isu2]
Bordinal.ordinal_lt_P1 [in ordinal_lt_P1]
Bordinal.ordinal_asymmetric [in ordinal_asymmetric]
Bordinal.ordinal_o_isu [in ordinal_o_isu]
Bordinal.ordinal_same_wo [in ordinal_same_wo]
Bordinal.ordinal_trans_dec [in ordinal_trans_dec]
Bordinal.ordinal_segment1 [in ordinal_segment1]
Bordinal.ordinal_trichotomy [in ordinal_trichotomy]
Bordinal.ordinal_isomorphism_unique [in ordinal_isomorphism_unique]
Bordinal.ordinal_hi [in ordinal_hi]
Bordinal.ordinal_worder [in ordinal_worder]
Bordinal.ordinal_pr [in ordinal_pr]
Bordinal.ordinal_sub2 [in ordinal_sub2]
Bordinal.ordinal_sub3 [in ordinal_sub3]
Bordinal.ordo_leP [in ordo_leP]
Bordinal.ordo_ltP [in ordo_ltP]
Bordinal.ord_succ_lt [in ord_succ_lt]
Bordinal.ord_gt_ne0 [in ord_gt_ne0]
Bordinal.ord_le_to_ee [in ord_le_to_ee]
Bordinal.ord_le_to_el [in ord_le_to_el]
Bordinal.ord_le_to_si [in ord_le_to_si]
Bordinal.ord_lt_leT [in ord_lt_leT]
Bordinal.ord_ub_sup [in ord_ub_sup]
Bordinal.ord_le_to_ell [in ord_le_to_ell]
Bordinal.ord_lt_ltT [in ord_lt_ltT]
Bordinal.ord_le0 [in ord_le0]
Bordinal.ord_leA [in ord_leA]
Bordinal.ord_leP [in ord_leP]
Bordinal.ord_leR [in ord_leR]
Bordinal.ord_leT [in ord_leT]
Bordinal.ord_lt0 [in ord_lt0]
Bordinal.ord_ltP [in ord_ltP]
Bordinal.ord_ne_pos [in ord_ne_pos]
Bordinal.ord_le_ltT [in ord_le_ltT]
Bordinal.ord_ne_has0 [in ord_ne_has0]
Bordinal.ord_ltP0 [in ord_ltP0]
Bordinal.ord_succ_inj [in ord_succ_inj]
Bordinal.ord_sup_prop [in ord_sup_prop]
Bordinal.ord_leA1 [in ord_leA1]
Bordinal.ord_lt_succP [in ord_lt_succP]
Bordinal.ord_succ_ltP [in ord_succ_ltP]
Bordinal.ord_lt_succ_succP [in ord_lt_succ_succP]
Bordinal.ord_sup_ub [in ord_sup_ub]
Bordinal.ord_ne0_pos [in ord_ne0_pos]
Bordinal.ord_le_succ_succP [in ord_le_succ_succP]
Bordinal.osuccVidpred [in osuccVidpred]
Bordinal.osucc_pr [in osucc_pr]
Bordinal.OS_succr [in OS_succr]
Bordinal.OS_cardinal [in OS_cardinal]
Bordinal.OS_omega [in OS_omega]
Bordinal.OS_ordinal [in OS_ordinal]
Bordinal.OS_sup [in OS_sup]
Bordinal.OS_succ [in OS_succ]
Bordinal.OS0 [in OS0]
Bordinal.OS1 [in OS1]
Bordinal.OS2 [in OS2]
Bordinal.ozero_least [in ozero_least]
Bordinal.predo_K [in predo_K]
Bordinal.setU1_injective_card1 [in setU1_injective_card1]
Bordinal.setU1_injective_card2 [in setU1_injective_card2]
Bordinal.succo_K [in succo_K]
Bordinal.succ_i [in succ_i]
Bordinal.succ_o_zero [in succ_o_zero]
Bordinal.succ_op_pr [in succ_op_pr]
Bordinal.succ_injective_oP [in succ_injective_oP]
Bordinal.succ_injective1 [in succ_injective1]
Bordinal.succ_o_one [in succ_o_one]
Bordinal.the_ordinal_iso1 [in the_ordinal_iso1]
Bordinal.the_ordinal_iso2 [in the_ordinal_iso2]
Bordinal.transitive_setU [in transitive_setU]
Bordinal.trans_dec_succ [in trans_dec_succ]
Bordinal.trans_dec_setI [in trans_dec_setI]
Bordinal.trans_dec_setU [in trans_dec_setU]
Bordinal.wordering_ordinal_le_pr [in wordering_ordinal_le_pr]
Bordinal.wordering_ordinal_le [in wordering_ordinal_le]
Bordinal.worder_invariance [in worder_invariance]
Bproduct.cf_injective [in cf_injective]
Bproduct.cst_graph_pr [in cst_graph_pr]
Bproduct.diagonal_graph_P [in diagonal_graph_P]
Bproduct.distrib_product2_union [in distrib_product2_union]
Bproduct.distrib_prod_intersection [in distrib_prod_intersection]
Bproduct.distrib_union2_inter [in distrib_union2_inter]
Bproduct.distrib_prod2_inter [in distrib_prod2_inter]
Bproduct.distrib_inter2_union [in distrib_inter2_union]
Bproduct.distrib_product2_inter [in distrib_product2_inter]
Bproduct.distrib_inter_union [in distrib_inter_union]
Bproduct.distrib_inter_prod_inter [in distrib_inter_prod_inter]
Bproduct.distrib_prod_union [in distrib_prod_union]
Bproduct.distrib_union_inter [in distrib_union_inter]
Bproduct.distrib_prod2_sum [in distrib_prod2_sum]
Bproduct.distrib_inter_prod [in distrib_inter_prod]
Bproduct.distrib_prod_inter2_prod [in distrib_prod_inter2_prod]
Bproduct.distrib_prod2_union [in distrib_prod2_union]
Bproduct.extension_psetX [in extension_psetX]
Bproduct.ext_map_prod_VV [in ext_map_prod_VV]
Bproduct.ext_map_prod_taxioms [in ext_map_prod_taxioms]
Bproduct.ext_map_prod_fi [in ext_map_prod_fi]
Bproduct.ext_map_prod_fs [in ext_map_prod_fs]
Bproduct.ext_map_prod_compose [in ext_map_prod_compose]
Bproduct.ext_map_prod_composable [in ext_map_prod_composable]
Bproduct.ext_map_prod_V [in ext_map_prod_V]
Bproduct.ext_map_prod_f [in ext_map_prod_f]
Bproduct.first_proj_fb [in first_proj_fb]
Bproduct.fun_set_to_prod1 [in fun_set_to_prod1]
Bproduct.fun_set_to_prod2 [in fun_set_to_prod2]
Bproduct.fun_set_to_prod3 [in fun_set_to_prod3]
Bproduct.fun_set_to_prod4 [in fun_set_to_prod4]
Bproduct.fun_set_to_prod6 [in fun_set_to_prod6]
Bproduct.fun_set_to_prod7 [in fun_set_to_prod7]
Bproduct.fun_set_to_prod8 [in fun_set_to_prod8]
Bproduct.graphset_P1 [in graphset_P1]
Bproduct.graphset_P2 [in graphset_P2]
Bproduct.pam_V [in pam_V]
Bproduct.pam_f [in pam_f]
Bproduct.pam_axiom [in pam_axiom]
Bproduct.pam_fb [in pam_fb]
Bproduct.pam_fi [in pam_fi]
Bproduct.partition_product [in partition_product]
Bproduct.pc_axiom0 [in pc_axiom0]
Bproduct.pc_axiom [in pc_axiom]
Bproduct.pc_V [in pc_V]
Bproduct.pc_f [in pc_f]
Bproduct.pc_VV [in pc_VV]
Bproduct.pc_fb [in pc_fb]
Bproduct.popc_axioms [in popc_axioms]
Bproduct.popc_V [in popc_V]
Bproduct.popc_target_aux [in popc_target_aux]
Bproduct.popc_fb [in popc_fb]
Bproduct.pri_axiom [in pri_axiom]
Bproduct.pri_V [in pri_V]
Bproduct.pri_f [in pri_f]
Bproduct.pri_fs [in pri_fs]
Bproduct.prj_axiom [in prj_axiom]
Bproduct.prj_V [in prj_V]
Bproduct.prj_f [in prj_f]
Bproduct.prj_VV [in prj_VV]
Bproduct.prj_fb [in prj_fb]
Bproduct.prj_fs [in prj_fs]
Bproduct.productb_gr [in productb_gr]
Bproduct.product2_canon_fb [in product2_canon_fb]
Bproduct.prod_of_function_V [in prod_of_function_V]
Bproduct.prod_of_function_f [in prod_of_function_f]
Bproduct.prod_of_products_V [in prod_of_products_V]
Bproduct.prod_of_products_f [in prod_of_products_f]
Bproduct.prod_assoc_map2 [in prod_assoc_map2]
Bproduct.prod_of_function_axioms [in prod_of_function_axioms]
Bproduct.restriction_productE [in restriction_productE]
Bproduct.restriction_graph2 [in restriction_graph2]
Bproduct.setXb_ne [in setXb_ne]
Bproduct.setXb_0 [in setXb_0]
Bproduct.setXb_eq_graphset [in setXb_eq_graphset]
Bproduct.setXb_P [in setXb_P]
Bproduct.setXb_monotone1 [in setXb_monotone1]
Bproduct.setXb_monotone2 [in setXb_monotone2]
Bproduct.setXb_exten [in setXb_exten]
Bproduct.setXb_0' [in setXb_0']
Bproduct.setXb_ne2 [in setXb_ne2]
Bproduct.setXb_sub_graphset [in setXb_sub_graphset]
Bproduct.setXf_P [in setXf_P]
Bproduct.setXf_exten [in setXf_exten]
Bproduct.setX_set1 [in setX_set1]
Bproduct.setX1_P [in setX1_P]
Bproduct.setX1_pr [in setX1_pr]
Bproduct.setX1_canon_V [in setX1_canon_V]
Bproduct.setX1_canon_f [in setX1_canon_f]
Bproduct.setX1_canon_axiom [in setX1_canon_axiom]
Bproduct.setX1_pr2 [in setX1_pr2]
Bproduct.setX1_canon_fb [in setX1_canon_fb]
Bproduct.setX2_P [in setX2_P]
Bproduct.setX2_canon_V [in setX2_canon_V]
Bproduct.setX2_canon_f [in setX2_canon_f]
Bproduct.setX2_canon_axiom [in setX2_canon_axiom]
Bproduct.unionb_gr [in unionb_gr]
Bproduct.variantLc_prop [in variantLc_prop]
Bunion.agrees_on_covering [in agrees_on_covering]
Bunion.candu2P [in candu2P]
Bunion.candu2_pra [in candu2_pra]
Bunion.candu2_prb [in candu2_prb]
Bunion.candu2_rw [in candu2_rw]
Bunion.candu2_pr2 [in candu2_pr2]
Bunion.coarserA [in coarserA]
Bunion.coarserR [in coarserR]
Bunion.coarserT [in coarserT]
Bunion.coarser_cP [in coarser_cP]
Bunion.composable_for_function [in composable_for_function]
Bunion.covering_P [in covering_P]
Bunion.cover_at_in [in cover_at_in]
Bunion.cover_at_pr [in cover_at_pr]
Bunion.c3f_fb [in c3f_fb]
Bunion.c3f_fi [in c3f_fi]
Bunion.c3f_fs [in c3f_fs]
Bunion.c3f_V [in c3f_V]
Bunion.c3f_f [in c3f_f]
Bunion.c3f_axiom [in c3f_axiom]
Bunion.dirim_setI2 [in dirim_setI2]
Bunion.dirim_setIt [in dirim_setIt]
Bunion.dirim_setU2 [in dirim_setU2]
Bunion.dirim_setUt [in dirim_setUt]
Bunion.disjointU_disjoint [in disjointU_disjoint]
Bunion.disjointU_P [in disjointU_P]
Bunion.disjointU_d [in disjointU_d]
Bunion.disjointU_fgraph [in disjointU_fgraph]
Bunion.disjointU_hi [in disjointU_hi]
Bunion.disjointU_pi [in disjointU_pi]
Bunion.disjointU_pr [in disjointU_pr]
Bunion.disjointU2_rw1 [in disjointU2_rw1]
Bunion.disjointU2_rw [in disjointU2_rw]
Bunion.disjoint_union_lemma [in disjoint_union_lemma]
Bunion.etp_composable [in etp_composable]
Bunion.etp_identity [in etp_identity]
Bunion.etp_axiom [in etp_axiom]
Bunion.etp_compose [in etp_compose]
Bunion.etp_V [in etp_V]
Bunion.etp_f [in etp_f]
Bunion.etp_fi [in etp_fi]
Bunion.etp_fs [in etp_fs]
Bunion.extension_covering [in extension_covering]
Bunion.extension_partition1 [in extension_partition1]
Bunion.extension_partition2 [in extension_partition2]
Bunion.extension_partition_aux [in extension_partition_aux]
Bunion.extension_partition_thm [in extension_partition_thm]
Bunion.extension_covering_thm [in extension_covering_thm]
Bunion.fpfa_axiom [in fpfa_axiom]
Bunion.fpfa_V [in fpfa_V]
Bunion.fpfa_f [in fpfa_f]
Bunion.fpfa_fb [in fpfa_fb]
Bunion.fpfb_axiom [in fpfb_axiom]
Bunion.fpfb_V [in fpfb_V]
Bunion.fpfb_f [in fpfb_f]
Bunion.fpfb_VV [in fpfb_VV]
Bunion.fpf_V [in fpf_V]
Bunion.fpf_f [in fpf_f]
Bunion.fpf_axiom [in fpf_axiom]
Bunion.function_exten5 [in function_exten5]
Bunion.fun_set_ne [in fun_set_ne]
Bunion.fun_set_P [in fun_set_P]
Bunion.fun_set_small_source [in fun_set_small_source]
Bunion.fun_set_small_target [in fun_set_small_target]
Bunion.fun_set_equipotent [in fun_set_equipotent]
Bunion.gfun_set_i [in gfun_set_i]
Bunion.gfun_set_hi [in gfun_set_hi]
Bunion.graph_fb [in graph_fb]
Bunion.graph_lf_axiom [in graph_lf_axiom]
Bunion.greatest_partition_P [in greatest_partition_P]
Bunion.greatest_is_partition [in greatest_is_partition]
Bunion.iim_fun_C1 [in iim_fun_C1]
Bunion.iim_fun_setI2 [in iim_fun_setI2]
Bunion.iim_fun_setIt [in iim_fun_setIt]
Bunion.image_of_covering [in image_of_covering]
Bunion.injective_partition [in injective_partition]
Bunion.inj_image_setIt [in inj_image_setIt]
Bunion.inj_image_C [in inj_image_C]
Bunion.inv_image_of_covering [in inv_image_of_covering]
Bunion.inv_image_disjoint [in inv_image_disjoint]
Bunion.is_partition_with_complement [in is_partition_with_complement]
Bunion.least_is_partition [in least_is_partition]
Bunion.mutually_disjoint_prop1 [in mutually_disjoint_prop1]
Bunion.mutually_disjoint_prop2 [in mutually_disjoint_prop2]
Bunion.mutually_disjoint_prop [in mutually_disjoint_prop]
Bunion.partial_fun_axiom_pr [in partial_fun_axiom_pr]
Bunion.partitions_is_covering [in partitions_is_covering]
Bunion.partition_fam_is_covering [in partition_fam_is_covering]
Bunion.partition_same2 [in partition_same2]
Bunion.partition_same [in partition_same]
Bunion.partition_fam_partition [in partition_fam_partition]
Bunion.partition_disjointU [in partition_disjointU]
Bunion.product_of_covering [in product_of_covering]
Bunion.same_cover_at [in same_cover_at]
Bunion.setCIf2 [in setCIf2]
Bunion.setCIt2 [in setCIt2]
Bunion.setCUf2 [in setCUf2]
Bunion.setCUt2 [in setCUt2]
Bunion.setIb_hi [in setIb_hi]
Bunion.setIb_identity [in setIb_identity]
Bunion.setIb_alt [in setIb_alt]
Bunion.setIb_rewrite [in setIb_rewrite]
Bunion.setIb_0 [in setIb_0]
Bunion.setIb_P [in setIb_P]
Bunion.setIb_i [in setIb_i]
Bunion.setIf_exten [in setIf_exten]
Bunion.setIf_hi [in setIf_hi]
Bunion.setIf_0 [in setIf_0]
Bunion.setIf_1 [in setIf_1]
Bunion.setIf_A [in setIf_A]
Bunion.setIf_P [in setIf_P]
Bunion.setIf_S [in setIf_S]
Bunion.setIf_i [in setIf_i]
Bunion.setIf2 [in setIf2]
Bunion.setIf2f [in setIf2f]
Bunion.setIg_constant [in setIg_constant]
Bunion.setIt_rewrite [in setIt_rewrite]
Bunion.setIt_0 [in setIt_0]
Bunion.setIt_1 [in setIt_1]
Bunion.setIt_P [in setIt_P]
Bunion.setIt_S [in setIt_S]
Bunion.setIt_i [in setIt_i]
Bunion.setIt_sub2 [in setIt_sub2]
Bunion.setIt_exten [in setIt_exten]
Bunion.setIt_hi [in setIt_hi]
Bunion.setIt_s1 [in setIt_s1]
Bunion.setIt_s2 [in setIt_s2]
Bunion.setIt_constant [in setIt_constant]
Bunion.setI_coarser2_clr [in setI_coarser2_clr]
Bunion.setI_covering2 [in setI_covering2]
Bunion.setI_coarser2_cl [in setI_coarser2_cl]
Bunion.setI_coarser2_cr [in setI_coarser2_cr]
Bunion.setI_covering [in setI_covering]
Bunion.setI_covering2_P [in setI_covering2_P]
Bunion.setI_coarser_cl [in setI_coarser_cl]
Bunion.setI_coarser_cr [in setI_coarser_cr]
Bunion.setI_prop [in setI_prop]
Bunion.setI_coarser_clr [in setI_coarser_clr]
Bunion.setI_P [in setI_P]
Bunion.setUb_rewrite [in setUb_rewrite]
Bunion.setUb_P1 [in setUb_P1]
Bunion.setUb_hi [in setUb_hi]
Bunion.setUb_rewrite1 [in setUb_rewrite1]
Bunion.setUb_alt [in setUb_alt]
Bunion.setUb_identity [in setUb_identity]
Bunion.setUb_0 [in setUb_0]
Bunion.setUb_P [in setUb_P]
Bunion.setUb_i [in setUb_i]
Bunion.setUf_hi [in setUf_hi]
Bunion.setUf_0 [in setUf_0]
Bunion.setUf_1 [in setUf_1]
Bunion.setUf_A [in setUf_A]
Bunion.setUf_P [in setUf_P]
Bunion.setUf_i [in setUf_i]
Bunion.setUf_exten [in setUf_exten]
Bunion.setUf_S2 [in setUf_S2]
Bunion.setUf2 [in setUf2]
Bunion.setUf2f [in setUf2f]
Bunion.setUg_constant [in setUg_constant]
Bunion.setUt_constant [in setUt_constant]
Bunion.setUt_s1 [in setUt_s1]
Bunion.setUt_s2 [in setUt_s2]
Bunion.setUt_rewrite [in setUt_rewrite]
Bunion.setUt_sub2 [in setUt_sub2]
Bunion.setUt_exten [in setUt_exten]
Bunion.setUt_0 [in setUt_0]
Bunion.setUt_1 [in setUt_1]
Bunion.setUt_S [in setUt_S]
Bunion.setUt_i [in setUt_i]
Bunion.setU_prop [in setU_prop]
Bunion.sfun_set_P [in sfun_set_P]
Bunion.spfa_axiom [in spfa_axiom]
Bunion.spfa_fb [in spfa_fb]
Bunion.spfa_V [in spfa_V]
Bunion.spfa_f [in spfa_f]
Bunion.spfb_VV [in spfb_VV]
Bunion.spfb_axiom [in spfb_axiom]
Bunion.spfb_V [in spfb_V]
Bunion.spfb_f [in spfb_f]
Bunion.spf_axiom [in spf_axiom]
Bunion.spf_V [in spf_V]
Bunion.spf_f [in spf_f]
Bunion.sub_covering [in sub_covering]
Bunion.varianti_out [in varianti_out]
Bunion.varianti_in [in varianti_in]
Bunion.variantLc_comp [in variantLc_comp]
Bunion.variantLc_d [in variantLc_d]
Bunion.variantLc_domain_ne [in variantLc_domain_ne]
Bunion.variantLc_fgraph [in variantLc_fgraph]
Bunion.variant_d [in variant_d]
Bunion.variant_V_a [in variant_V_a]
Bunion.variant_V_b [in variant_V_b]
Bunion.variant_false [in variant_false]
Bunion.variant_true1 [in variant_true1]
Bunion.variant_false1 [in variant_false1]
Bunion.variant_fgraph [in variant_fgraph]
Bunion.variant_true [in variant_true]
Bunion.variant_V_ca [in variant_V_ca]
Bunion.variant_V_cb [in variant_V_cb]
BZdvd_latticeD [in BZdvd_latticeD]
C
CantorOrdinal.addC_CE [in addC_CE]CantorOrdinal.add_normal [in add_normal]
CantorOrdinal.add_simpl1 [in add_simpl1]
CantorOrdinal.add_simpl2 [in add_simpl2]
CantorOrdinal.add_simpl3 [in add_simpl3]
CantorOrdinal.add_to_cons [in add_to_cons]
CantorOrdinal.add_fin_omega [in add_fin_omega]
CantorOrdinal.add_inj [in add_inj]
CantorOrdinal.add_int [in add_int]
CantorOrdinal.add_le1 [in add_le1]
CantorOrdinal.add_le2 [in add_le2]
CantorOrdinal.add_le3 [in add_le3]
CantorOrdinal.add_le4 [in add_le4]
CantorOrdinal.add1Nfin [in add1Nfin]
CantorOrdinal.ap_pr2CE [in ap_pr2CE]
CantorOrdinal.ap_pr0 [in ap_pr0]
CantorOrdinal.ap_pr1 [in ap_pr1]
CantorOrdinal.ap_pr2 [in ap_pr2]
CantorOrdinal.ap_pr3 [in ap_pr3]
CantorOrdinal.ap_pr4 [in ap_pr4]
CantorOrdinal.cantorCE2 [in cantorCE2]
CantorOrdinal.cantorCE3 [in cantorCE3]
CantorOrdinal.cantor_unique [in cantor_unique]
CantorOrdinal.cantor_exists [in cantor_exists]
CantorOrdinal.cantor_CE1 [in cantor_CE1]
CantorOrdinal.div_by_omega_pr [in div_by_omega_pr]
CantorOrdinal.expF_mul [in expF_mul]
CantorOrdinal.expF_add [in expF_add]
CantorOrdinal.expF_1n [in expF_1n]
CantorOrdinal.expF_eq0 [in expF_eq0]
CantorOrdinal.expF_eq1 [in expF_eq1]
CantorOrdinal.expO_1n [in expO_1n]
CantorOrdinal.expO_add [in expO_add]
CantorOrdinal.expO_n0 [in expO_n0]
CantorOrdinal.expO_eq0 [in expO_eq0]
CantorOrdinal.expO_eq1 [in expO_eq1]
CantorOrdinal.expO_mul1 [in expO_mul1]
CantorOrdinal.expx_nat [in expx_nat]
CantorOrdinal.expx_pnat [in expx_pnat]
CantorOrdinal.expx0 [in expx0]
CantorOrdinal.expx1 [in expx1]
CantorOrdinal.expx1CE [in expx1CE]
CantorOrdinal.exp_consCE1 [in exp_consCE1]
CantorOrdinal.exp_sum [in exp_sum]
CantorOrdinal.exp_eq0 [in exp_eq0]
CantorOrdinal.exp_eq1 [in exp_eq1]
CantorOrdinal.exp_FO1 [in exp_FO1]
CantorOrdinal.exp_FO2 [in exp_FO2]
CantorOrdinal.exp_FO3 [in exp_FO3]
CantorOrdinal.exp_prod [in exp_prod]
CantorOrdinal.exp_int [in exp_int]
CantorOrdinal.exp_FO [in exp_FO]
CantorOrdinal.exp0nz [in exp0nz]
CantorOrdinal.exp00 [in exp00]
CantorOrdinal.exp1x [in exp1x]
CantorOrdinal.exp2omega [in exp2omega]
CantorOrdinal.ex_middle_pick [in ex_middle_pick]
CantorOrdinal.fincP [in fincP]
CantorOrdinal.fooCE [in fooCE]
CantorOrdinal.head_lt_cons [in head_lt_cons]
CantorOrdinal.le_succ_succ [in le_succ_succ]
CantorOrdinal.le_succ_succE [in le_succ_succE]
CantorOrdinal.limit_pr [in limit_pr]
CantorOrdinal.limit_unique [in limit_unique]
CantorOrdinal.limit_prop [in limit_prop]
CantorOrdinal.limit_CE1 [in limit_CE1]
CantorOrdinal.limit_CE2 [in limit_CE2]
CantorOrdinal.limit_CE3 [in limit_CE3]
CantorOrdinal.limit_lub [in limit_lub]
CantorOrdinal.limit_pr1 [in limit_pr1]
CantorOrdinal.limit_unique1 [in limit_unique1]
CantorOrdinal.limit_unique2 [in limit_unique2]
CantorOrdinal.limit1 [in limit1]
CantorOrdinal.limit2 [in limit2]
CantorOrdinal.limit3 [in limit3]
CantorOrdinal.lt_succ_succE [in lt_succ_succE]
CantorOrdinal.lt_succ_succ [in lt_succ_succ]
CantorOrdinal.lt_succ_le_1 [in lt_succ_le_1]
CantorOrdinal.lt_succ_le_2 [in lt_succ_le_2]
CantorOrdinal.lt_succ_le_3 [in lt_succ_le_3]
CantorOrdinal.lt_succ_le_4 [in lt_succ_le_4]
CantorOrdinal.lt_not_wf [in lt_not_wf]
CantorOrdinal.lt_succ2CE [in lt_succ2CE]
CantorOrdinal.minus_le [in minus_le]
CantorOrdinal.minus_lt [in minus_lt]
CantorOrdinal.min_exists [in min_exists]
CantorOrdinal.mulA [in mulA]
CantorOrdinal.mulnf0 [in mulnf0]
CantorOrdinal.mul_omega2_pr1 [in mul_omega2_pr1]
CantorOrdinal.mul_omega_pr1 [in mul_omega_pr1]
CantorOrdinal.mul_omega_pr3 [in mul_omega_pr3]
CantorOrdinal.mul_int_limit [in mul_int_limit]
CantorOrdinal.mul_fin_omega [in mul_fin_omega]
CantorOrdinal.mul_int [in mul_int]
CantorOrdinal.mul_distr [in mul_distr]
CantorOrdinal.mul_phi0 [in mul_phi0]
CantorOrdinal.mul_omega_limit [in mul_omega_limit]
CantorOrdinal.mul_succ [in mul_succ]
CantorOrdinal.mul_na [in mul_na]
CantorOrdinal.mul_sum_omega [in mul_sum_omega]
CantorOrdinal.nf_sub [in nf_sub]
CantorOrdinal.nf_pred [in nf_pred]
CantorOrdinal.nf_div_by_omega [in nf_div_by_omega]
CantorOrdinal.nf_rev_prod [in nf_rev_prod]
CantorOrdinal.nf_toNF [in nf_toNF]
CantorOrdinal.nf_exp [in nf_exp]
CantorOrdinal.nf_split [in nf_split]
CantorOrdinal.nf_rev_sum [in nf_rev_sum]
CantorOrdinal.nf_Wf [in nf_Wf]
CantorOrdinal.nf_Wf' [in nf_Wf']
CantorOrdinal.nf_expF [in nf_expF]
CantorOrdinal.nf_expO [in nf_expO]
CantorOrdinal.nf_omega [in nf_omega]
CantorOrdinal.nf_phi0 [in nf_phi0]
CantorOrdinal.nf_succ [in nf_succ]
CantorOrdinal.nf_log [in nf_log]
CantorOrdinal.nf_rev_unique [in nf_rev_unique]
CantorOrdinal.nf_mul [in nf_mul]
CantorOrdinal.nf_omega_plus_n [in nf_omega_plus_n]
CantorOrdinal.nf_finite [in nf_finite]
CantorOrdinal.nf_revCE [in nf_revCE]
CantorOrdinal.nf_rev [in nf_rev]
CantorOrdinal.nf_add [in nf_add]
CantorOrdinal.normal_id [in normal_id]
CantorOrdinal.normal_limit [in normal_limit]
CantorOrdinal.normal_compose [in normal_compose]
CantorOrdinal.omega_tower_nf [in omega_tower_nf]
CantorOrdinal.omega_tower_unbounded [in omega_tower_unbounded]
CantorOrdinal.omega_minus_one [in omega_minus_one]
CantorOrdinal.phi0_log [in phi0_log]
CantorOrdinal.phi0_lt1 [in phi0_lt1]
CantorOrdinal.phi0_le [in phi0_le]
CantorOrdinal.phi0_lt [in phi0_lt]
CantorOrdinal.plus_int_Ox [in plus_int_Ox]
CantorOrdinal.pow_mon1 [in pow_mon1]
CantorOrdinal.pow_mon2 [in pow_mon2]
CantorOrdinal.pow_mon3 [in pow_mon3]
CantorOrdinal.pow_omega [in pow_omega]
CantorOrdinal.pred_le [in pred_le]
CantorOrdinal.pred_lt [in pred_lt]
CantorOrdinal.pred_succ [in pred_succ]
CantorOrdinal.pred_succ_CE [in pred_succ_CE]
CantorOrdinal.split_succ [in split_succ]
CantorOrdinal.split_is_succ [in split_is_succ]
CantorOrdinal.split_limit1 [in split_limit1]
CantorOrdinal.split_finite [in split_finite]
CantorOrdinal.split_add [in split_add]
CantorOrdinal.split_pred [in split_pred]
CantorOrdinal.split_le [in split_le]
CantorOrdinal.split_limit [in split_limit]
CantorOrdinal.sub_nz [in sub_nz]
CantorOrdinal.sub_pr [in sub_pr]
CantorOrdinal.sub_pr1 [in sub_pr1]
CantorOrdinal.sub_pr1r [in sub_pr1r]
CantorOrdinal.sub_1aCE [in sub_1aCE]
CantorOrdinal.sub_1bCE [in sub_1bCE]
CantorOrdinal.sub_nzCE [in sub_nzCE]
CantorOrdinal.sub_pr1rCE [in sub_pr1rCE]
CantorOrdinal.sub_pr1CE [in sub_pr1CE]
CantorOrdinal.sub_int [in sub_int]
CantorOrdinal.sub_le1 [in sub_le1]
CantorOrdinal.sub1a [in sub1a]
CantorOrdinal.sub1b [in sub1b]
CantorOrdinal.sub1Nfin [in sub1Nfin]
CantorOrdinal.succ_is_add_one [in succ_is_add_one]
CantorOrdinal.succ_injCE [in succ_injCE]
CantorOrdinal.succ_inj [in succ_inj]
CantorOrdinal.succ_lt [in succ_lt]
CantorOrdinal.succ_p1 [in succ_p1]
CantorOrdinal.succ_pred [in succ_pred]
CantorOrdinal.succ_predCE [in succ_predCE]
CantorOrdinal.sup_Oalpha_limit [in sup_Oalpha_limit]
CantorOrdinal.sup_unique [in sup_unique]
CantorOrdinal.sup_Oalpha_zero [in sup_Oalpha_zero]
CantorOrdinal.sup_Oalpha_succ [in sup_Oalpha_succ]
CantorOrdinal.tail_lt_cons [in tail_lt_cons]
CantorOrdinal.toNF_nf [in toNF_nf]
CantorOrdinal.toNF_nz [in toNF_nz]
CantorOrdinal.toNF_ex1 [in toNF_ex1]
CantorOrdinal.toNF_ex2 [in toNF_ex2]
CantorOrdinal.toNF_pred [in toNF_pred]
CantorOrdinal.toNF_mon [in toNF_mon]
CantorOrdinal.toNF_succ [in toNF_succ]
CantorOrdinal.T1addA [in T1addA]
CantorOrdinal.T1addn0 [in T1addn0]
CantorOrdinal.T1addS [in T1addS]
CantorOrdinal.T1add_eq0 [in T1add_eq0]
CantorOrdinal.T1add0n [in T1add0n]
CantorOrdinal.T1ap_phi0 [in T1ap_phi0]
CantorOrdinal.T1eqE [in T1eqE]
CantorOrdinal.T1eqP [in T1eqP]
CantorOrdinal.T1eq_add2l [in T1eq_add2l]
CantorOrdinal.T1eq_le [in T1eq_le]
CantorOrdinal.T1eq_mul2l [in T1eq_mul2l]
CantorOrdinal.T1finite_succ [in T1finite_succ]
CantorOrdinal.T1finite1 [in T1finite1]
CantorOrdinal.T1finite2 [in T1finite2]
CantorOrdinal.T1finite2CE [in T1finite2CE]
CantorOrdinal.T1F_inj [in T1F_inj]
CantorOrdinal.T1ge1 [in T1ge1]
CantorOrdinal.T1leNgt [in T1leNgt]
CantorOrdinal.T1lenn [in T1lenn]
CantorOrdinal.T1len0 [in T1len0]
CantorOrdinal.T1leP [in T1leP]
CantorOrdinal.T1le_eqVlt [in T1le_eqVlt]
CantorOrdinal.T1le_pmull [in T1le_pmull]
CantorOrdinal.T1le_pmulr [in T1le_pmulr]
CantorOrdinal.T1le_total [in T1le_total]
CantorOrdinal.T1le_cons_le [in T1le_cons_le]
CantorOrdinal.T1le_add2l [in T1le_add2l]
CantorOrdinal.T1le_add2r [in T1le_add2r]
CantorOrdinal.T1le_trans [in T1le_trans]
CantorOrdinal.T1le_pmulrl [in T1le_pmulrl]
CantorOrdinal.T1le_consE [in T1le_consE]
CantorOrdinal.T1le_pmulrCE [in T1le_pmulrCE]
CantorOrdinal.T1le_mul2l [in T1le_mul2l]
CantorOrdinal.T1le_mul2r [in T1le_mul2r]
CantorOrdinal.T1le_mulCE [in T1le_mulCE]
CantorOrdinal.T1le_mul [in T1le_mul]
CantorOrdinal.T1le_lt_trans [in T1le_lt_trans]
CantorOrdinal.T1le0n [in T1le0n]
CantorOrdinal.T1log_prod [in T1log_prod]
CantorOrdinal.T1log_exp0 [in T1log_exp0]
CantorOrdinal.T1log_exp1 [in T1log_exp1]
CantorOrdinal.T1log_exp2 [in T1log_exp2]
CantorOrdinal.T1log_phi0 [in T1log_phi0]
CantorOrdinal.T1ltgtP [in T1ltgtP]
CantorOrdinal.T1ltNge [in T1ltNge]
CantorOrdinal.T1ltnn [in T1ltnn]
CantorOrdinal.T1ltn0 [in T1ltn0]
CantorOrdinal.T1ltP [in T1ltP]
CantorOrdinal.T1ltW [in T1ltW]
CantorOrdinal.T1lt_cons_le [in T1lt_cons_le]
CantorOrdinal.T1lt_trans [in T1lt_trans]
CantorOrdinal.T1lt_le_trans [in T1lt_le_trans]
CantorOrdinal.T1lt_neAle [in T1lt_neAle]
CantorOrdinal.T1lt_mul2l [in T1lt_mul2l]
CantorOrdinal.T1lt_mul2r [in T1lt_mul2r]
CantorOrdinal.T1lt_ne' [in T1lt_ne']
CantorOrdinal.T1lt_trichotomy [in T1lt_trichotomy]
CantorOrdinal.T1lt_anti [in T1lt_anti]
CantorOrdinal.T1lt_ne [in T1lt_ne]
CantorOrdinal.T1lt_add2l [in T1lt_add2l]
CantorOrdinal.T1lt_add2r [in T1lt_add2r]
CantorOrdinal.T1lt0n [in T1lt0n]
CantorOrdinal.T1lt1 [in T1lt1]
CantorOrdinal.T1muln0 [in T1muln0]
CantorOrdinal.T1muln1 [in T1muln1]
CantorOrdinal.T1muln1_CE [in T1muln1_CE]
CantorOrdinal.T1mul_eq0 [in T1mul_eq0]
CantorOrdinal.T1mul_eq1 [in T1mul_eq1]
CantorOrdinal.T1mul_omega [in T1mul_omega]
CantorOrdinal.T1mul0n [in T1mul0n]
CantorOrdinal.T1mul1n [in T1mul1n]
CantorOrdinal.T1mul1nCE [in T1mul1nCE]
CantorOrdinal.T1nat_inc [in T1nat_inc]
CantorOrdinal.T1nfCE [in T1nfCE]
CantorOrdinal.T1nf_cons_cons [in T1nf_cons_cons]
CantorOrdinal.T1nf_cons0 [in T1nf_cons0]
CantorOrdinal.T1nf_consa [in T1nf_consa]
CantorOrdinal.T1nf_consb [in T1nf_consb]
CantorOrdinal.T1nf_rect [in T1nf_rect]
CantorOrdinal.T1nf_finite1 [in T1nf_finite1]
CantorOrdinal.T1nf_finite [in T1nf_finite]
CantorOrdinal.T1phi0_zero' [in T1phi0_zero']
CantorOrdinal.T1phi0_zero [in T1phi0_zero]
CantorOrdinal.T1subnn [in T1subnn]
CantorOrdinal.T1subn0 [in T1subn0]
CantorOrdinal.T1sub0 [in T1sub0]
CantorOrdinal.T1succ_nat [in T1succ_nat]
CantorOrdinal.T1transfinite_induction_Q [in T1transfinite_induction_Q]
CantorOrdinal.T1transfinite_induction [in T1transfinite_induction]
CardinalOps.cantor [in cantor]
CardinalOps.cantor_bis [in cantor_bis]
CardinalOps.cardinal_le_setCP [in cardinal_le_setCP]
CardinalOps.cardinal_setC1 [in cardinal_setC1]
CardinalOps.cardinal_setC2 [in cardinal_setC2]
CardinalOps.cardinal_setC3 [in cardinal_setC3]
CardinalOps.cardinal_setC [in cardinal_setC]
CardinalOps.cardinal_commutativity_aux [in cardinal_commutativity_aux]
CardinalOps.card_two_pr [in card_two_pr]
CardinalOps.card_succ_pr3 [in card_succ_pr3]
CardinalOps.card_succ_pr4 [in card_succ_pr4]
CardinalOps.card_succ_pr5 [in card_succ_pr5]
CardinalOps.card_prod_gr [in card_prod_gr]
CardinalOps.card_partition_induced [in card_partition_induced]
CardinalOps.card_sum_gr [in card_sum_gr]
CardinalOps.card_partition_induced1 [in card_partition_induced1]
CardinalOps.card_commutative_aux [in card_commutative_aux]
CardinalOps.card_setP [in card_setP]
CardinalOps.char_fun_V [in char_fun_V]
CardinalOps.char_fun_f [in char_fun_f]
CardinalOps.char_fun_V_a [in char_fun_V_a]
CardinalOps.char_fun_V_b [in char_fun_V_b]
CardinalOps.char_fun_injectiveP [in char_fun_injectiveP]
CardinalOps.char_fun_surjective [in char_fun_surjective]
CardinalOps.char_fun_axioms [in char_fun_axioms]
CardinalOps.char_fun_V_cardinal [in char_fun_V_cardinal]
CardinalOps.cpowx0 [in cpowx0]
CardinalOps.cpowx1 [in cpowx1]
CardinalOps.cpowx1c [in cpowx1c]
CardinalOps.cpowx2 [in cpowx2]
CardinalOps.cpow_Meqle0 [in cpow_Meqle0]
CardinalOps.cpow_prod [in cpow_prod]
CardinalOps.cpow_M2le [in cpow_M2le]
CardinalOps.cpow_Mleeq [in cpow_Mleeq]
CardinalOps.cpow_Mlele [in cpow_Mlele]
CardinalOps.cpow_pr1 [in cpow_pr1]
CardinalOps.cpow_pr2 [in cpow_pr2]
CardinalOps.cpow_pr3 [in cpow_pr3]
CardinalOps.cpow_pow [in cpow_pow]
CardinalOps.cpow_pra [in cpow_pra]
CardinalOps.cpow_prb [in cpow_prb]
CardinalOps.cpow_Meqle [in cpow_Meqle]
CardinalOps.cpow_pr [in cpow_pr]
CardinalOps.cpow_sum [in cpow_sum]
CardinalOps.cpow_Mle1 [in cpow_Mle1]
CardinalOps.cpow_sum2 [in cpow_sum2]
CardinalOps.cpow_prod2 [in cpow_prod2]
CardinalOps.cpow0x [in cpow0x]
CardinalOps.cpow00 [in cpow00]
CardinalOps.cpow1x [in cpow1x]
CardinalOps.cprodA [in cprodA]
CardinalOps.cprodA_setU1 [in cprodA_setU1]
CardinalOps.cprodA_setU2 [in cprodA_setU2]
CardinalOps.cprodb_exten [in cprodb_exten]
CardinalOps.cprodC [in cprodC]
CardinalOps.cprod_nzP [in cprod_nzP]
CardinalOps.cprod_An [in cprod_An]
CardinalOps.cprod_Cn [in cprod_Cn]
CardinalOps.cprod_pr [in cprod_pr]
CardinalOps.cprod_increasing [in cprod_increasing]
CardinalOps.cprod_sum_Dn [in cprod_sum_Dn]
CardinalOps.cprod_sumDl [in cprod_sumDl]
CardinalOps.cprod_sumDr [in cprod_sumDr]
CardinalOps.cprod_one_unit [in cprod_one_unit]
CardinalOps.cprod_Mlele [in cprod_Mlele]
CardinalOps.cprod_Cn2 [in cprod_Cn2]
CardinalOps.cprod_M1le [in cprod_M1le]
CardinalOps.cprod_trivial1 [in cprod_trivial1]
CardinalOps.cprod_trivial2 [in cprod_trivial2]
CardinalOps.cprod_zero_absorbing [in cprod_zero_absorbing]
CardinalOps.cprod_increasing1 [in cprod_increasing1]
CardinalOps.cprod_trivial [in cprod_trivial]
CardinalOps.cprod0r [in cprod0r]
CardinalOps.cprod1l [in cprod1l]
CardinalOps.cprod1r [in cprod1r]
CardinalOps.cprod2_sumDn [in cprod2_sumDn]
CardinalOps.cprod2_pr2a [in cprod2_pr2a]
CardinalOps.cprod2_pr2b [in cprod2_pr2b]
CardinalOps.cprod2_pr1 [in cprod2_pr1]
CardinalOps.cprod2_pr2 [in cprod2_pr2]
CardinalOps.cprod2_nz [in cprod2_nz]
CardinalOps.cprod2_pr [in cprod2_pr]
CardinalOps.csumA [in csumA]
CardinalOps.csumA_setU1 [in csumA_setU1]
CardinalOps.csumA_setU2 [in csumA_setU2]
CardinalOps.csumb_exten [in csumb_exten]
CardinalOps.csumC [in csumC]
CardinalOps.csum_M0le [in csum_M0le]
CardinalOps.csum_permute24 [in csum_permute24]
CardinalOps.csum_pr1 [in csum_pr1]
CardinalOps.csum_pr3 [in csum_pr3]
CardinalOps.csum_pr4 [in csum_pr4]
CardinalOps.csum_trivial1 [in csum_trivial1]
CardinalOps.csum_trivial2 [in csum_trivial2]
CardinalOps.csum_trivial3 [in csum_trivial3]
CardinalOps.csum_increasing [in csum_increasing]
CardinalOps.csum_increasing1 [in csum_increasing1]
CardinalOps.csum_pr4_bis [in csum_pr4_bis]
CardinalOps.csum_Mleeq [in csum_Mleeq]
CardinalOps.csum_Mlele [in csum_Mlele]
CardinalOps.csum_Meqle [in csum_Meqle]
CardinalOps.csum_of_same [in csum_of_same]
CardinalOps.csum_Cn' [in csum_Cn']
CardinalOps.csum_Cn2 [in csum_Cn2]
CardinalOps.csum_of_ones1 [in csum_of_ones1]
CardinalOps.csum_An [in csum_An]
CardinalOps.csum_Cn [in csum_Cn]
CardinalOps.csum_zero_unit [in csum_zero_unit]
CardinalOps.csum_of_ones [in csum_of_ones]
CardinalOps.csum_trivial [in csum_trivial]
CardinalOps.csum_of_same1 [in csum_of_same1]
CardinalOps.csum_pr [in csum_pr]
CardinalOps.csum_pr1_bis [in csum_pr1_bis]
CardinalOps.csum0l [in csum0l]
CardinalOps.csum0r [in csum0r]
CardinalOps.csum2_pr2a [in csum2_pr2a]
CardinalOps.csum2_pr2b [in csum2_pr2b]
CardinalOps.csum2_pr2 [in csum2_pr2]
CardinalOps.csum2_pr4 [in csum2_pr4]
CardinalOps.csum2_pr5 [in csum2_pr5]
CardinalOps.csum2_pr6 [in csum2_pr6]
CardinalOps.csum2_pr [in csum2_pr]
CardinalOps.CS_succ_c [in CS_succ_c]
CardinalOps.CS_diff [in CS_diff]
CardinalOps.CS_sum2 [in CS_sum2]
CardinalOps.CS_pow [in CS_pow]
CardinalOps.CS_prod2 [in CS_prod2]
CardinalOps.disjointU2_pr3 [in disjointU2_pr3]
CardinalOps.disjointU2_pr4 [in disjointU2_pr4]
CardinalOps.infinite_powerset [in infinite_powerset]
CardinalOps.prod_of_prods [in prod_of_prods]
CardinalOps.succ_cP [in succ_cP]
CardinalOps.succ_c_pr1 [in succ_c_pr1]
CardinalOps.succ_c_pr2 [in succ_c_pr2]
CardinalOps.succ_c_pr3 [in succ_c_pr3]
CardinalOps.succ_c_pr4 [in succ_c_pr4]
CardinalOps.succ_c_pr6 [in succ_c_pr6]
CardinalOps.succ_injective [in succ_injective]
CardinalOps.succ_c_pr4P [in succ_c_pr4P]
CardinalOps.succ_c_pr5P [in succ_c_pr5P]
CardinalOps.sum_of_sums_aux [in sum_of_sums_aux]
CardinalOps.sum_of_sums [in sum_of_sums]
CardinalOps.two_times_n [in two_times_n]
Cardinal.cardinals_leP [in cardinals_leP]
Cardinal.cardinals_ltP [in cardinals_ltP]
Cardinal.cardinal_le_aux1 [in cardinal_le_aux1]
Cardinal.cardinal_le_wor [in cardinal_le_wor]
Cardinal.cardinal_ordinal_lt1 [in cardinal_ordinal_lt1]
Cardinal.cardinal_set1 [in cardinal_set1]
Cardinal.cardinal_set2 [in cardinal_set2]
Cardinal.cardinal_supremum1 [in cardinal_supremum1]
Cardinal.cardinal_supremum2 [in cardinal_supremum2]
Cardinal.cardinal_le_aux2P [in cardinal_le_aux2P]
Cardinal.card_leltA [in card_leltA]
Cardinal.card_le_01 [in card_le_01]
Cardinal.card_le_12 [in card_le_12]
Cardinal.card_le1P [in card_le1P]
Cardinal.card_le2P [in card_le2P]
Cardinal.card_sup_image [in card_sup_image]
Cardinal.card_lt_leT [in card_lt_leT]
Cardinal.card_ne0_pos [in card_ne0_pos]
Cardinal.card_ub_sup [in card_ub_sup]
Cardinal.card_lt_ltT [in card_lt_ltT]
Cardinal.card_le0 [in card_le0]
Cardinal.card_leA [in card_leA]
Cardinal.card_leR [in card_leR]
Cardinal.card_leT [in card_leT]
Cardinal.card_lt0 [in card_lt0]
Cardinal.card_lt1 [in card_lt1]
Cardinal.card_lt2 [in card_lt2]
Cardinal.card_ltleA [in card_ltleA]
Cardinal.card_lt_01 [in card_lt_01]
Cardinal.card_lt_02 [in card_lt_02]
Cardinal.card_lt_12 [in card_lt_12]
Cardinal.card_le_ltT [in card_le_ltT]
Cardinal.card_ge1P [in card_ge1P]
Cardinal.card_sup_ub [in card_sup_ub]
Cardinal.card_le_to_ell [in card_le_to_ell]
Cardinal.card_le_to_ee [in card_le_to_ee]
Cardinal.card_le_to_el [in card_le_to_el]
Cardinal.card_ge1 [in card_ge1]
Cardinal.card_ge2 [in card_ge2]
Cardinal.CS_sup [in CS_sup]
Cardinal.czero_least [in czero_least]
Cardinal.disjointLv [in disjointLv]
Cardinal.disjointU2_pr0 [in disjointU2_pr0]
Cardinal.disjointU2_pr1 [in disjointU2_pr1]
Cardinal.disjointU2_pr [in disjointU2_pr]
Cardinal.distrib_inter_prod2 [in distrib_inter_prod2]
Cardinal.distrib_union_prod2 [in distrib_union_prod2]
Cardinal.doubleton_fam_canon [in doubleton_fam_canon]
Cardinal.equipotent_ex_pr [in equipotent_ex_pr]
Cardinal.equipotent_disjointU [in equipotent_disjointU]
Cardinal.equipotent_disjointU1 [in equipotent_disjointU1]
Cardinal.equipotent_disjointU2 [in equipotent_disjointU2]
Cardinal.equipotent_setXb [in equipotent_setXb]
Cardinal.equipotent_setX [in equipotent_setX]
Cardinal.equipotent_times_s1s1 [in equipotent_times_s1s1]
Cardinal.eq_subset_cardP1 [in eq_subset_cardP1]
Cardinal.eq_subset_ex_injP [in eq_subset_ex_injP]
Cardinal.eq_subset_pr2 [in eq_subset_pr2]
Cardinal.eq_subset_cardP [in eq_subset_cardP]
Cardinal.finite_cP [in finite_cP]
Cardinal.finite_dichot1 [in finite_dichot1]
Cardinal.finite_le_infinite [in finite_le_infinite]
Cardinal.finite_lt_infinite [in finite_lt_infinite]
Cardinal.finite_dichot [in finite_dichot]
Cardinal.fun_image_smaller [in fun_image_smaller]
Cardinal.ge_infinite_infinite [in ge_infinite_infinite]
Cardinal.image_smaller_cardinal [in image_smaller_cardinal]
Cardinal.image_smaller_cardinal1 [in image_smaller_cardinal1]
Cardinal.incr_fun_morph [in incr_fun_morph]
Cardinal.infinite_c_P2 [in infinite_c_P2]
Cardinal.infinite_cP [in infinite_cP]
Cardinal.le_finite_finite [in le_finite_finite]
Cardinal.not_card_le_lt [in not_card_le_lt]
Cardinal.ordinals_card_ltP [in ordinals_card_ltP]
Cardinal.ordinal_finite1 [in ordinal_finite1]
Cardinal.ordinal_finite2 [in ordinal_finite2]
Cardinal.ordinal_finite3 [in ordinal_finite3]
Cardinal.ordinal_finite4 [in ordinal_finite4]
Cardinal.ordinal_cardinal_le [in ordinal_cardinal_le]
Cardinal.ordinal_cardinal_lt [in ordinal_cardinal_lt]
Cardinal.ordinal_cardinal_le2P [in ordinal_cardinal_le2P]
Cardinal.ordinal_cardinal_le1 [in ordinal_cardinal_le1]
Cardinal.ordinal_cardinal_le3 [in ordinal_cardinal_le3]
Cardinal.ordinal_cardinal_lt3 [in ordinal_cardinal_lt3]
Cardinal.ord_one_dichot [in ord_one_dichot]
Cardinal.ord_ge1 [in ord_ge1]
Cardinal.ord_ge1P [in ord_ge1P]
Cardinal.ord_lt1 [in ord_lt1]
Cardinal.ord_zero_dichot [in ord_zero_dichot]
Cardinal.product2A [in product2A]
Cardinal.set_of_card_one [in set_of_card_one]
Cardinal.set_of_card_two [in set_of_card_two]
Cardinal.set1_equipotent [in set1_equipotent]
Cardinal.set2_equipotent1 [in set2_equipotent1]
Cardinal.set2_equipotent [in set2_equipotent]
Cardinal.sub_image_finite_set [in sub_image_finite_set]
Cardinal.sub_smaller [in sub_smaller]
Cardinal.sub_finite_set [in sub_finite_set]
Cardinal.succ_nz [in succ_nz]
Cardinal.succ_one [in succ_one]
Cardinal.succ_positive [in succ_positive]
Cardinal.succ_zero [in succ_zero]
Cardinal.succ_of_finite [in succ_of_finite]
Cardinal.surjective_cardinal_le [in surjective_cardinal_le]
Cardinal.two_terms_bij [in two_terms_bij]
Cardinal.union2Lv [in union2Lv]
Cardinal.wordering_cardinal_le_pr [in wordering_cardinal_le_pr]
card_set_pred [in card_set_pred]
card_inv_im [in card_inv_im]
card_partition_aux [in card_partition_aux]
card_set_surj_fun_p1 [in card_set_surj_fun_p1]
Cartesian.indexedrP [in indexedrP]
Cartesian.indexed_P [in indexed_P]
Cartesian.indexed_pi [in indexed_pi]
Cartesian.setXp_P [in setXp_P]
Cartesian.setXp_i [in setXp_i]
Cartesian.setX_Sll [in setX_Sll]
Cartesian.setX_Slr [in setX_Slr]
Cartesian.setX_pair [in setX_pair]
Cartesian.setX_0l [in setX_0l]
Cartesian.setX_0r [in setX_0r]
Cartesian.setX_0 [in setX_0]
Cartesian.setX_P [in setX_P]
Cartesian.setX_i [in setX_i]
Cartesian.setX_Sl [in setX_Sl]
Cartesian.setX_Sr [in setX_Sr]
Cartesian.setX_lS [in setX_lS]
Cartesian.setX_rS [in setX_rS]
Complement.empty_setC [in empty_setC]
Complement.nin_setC [in nin_setC]
Complement.setC_ne [in setC_ne]
Complement.setC_0 [in setC_0]
Complement.setC_K [in setC_K]
Complement.setC_P [in setC_P]
Complement.setC_T [in setC_T]
Complement.setC_i [in setC_i]
Complement.setC_v [in setC_v]
Complement.setC1_1 [in setC1_1]
Complement.setC1_P [in setC1_P]
Complement.set_CS [in set_CS]
Complement.set_SC [in set_SC]
Complement.set_CSS [in set_CSS]
Complement.set_CSm [in set_CSm]
Complement.subCset_P [in subCset_P]
Complement.subsetC_P [in subsetC_P]
Complement.sub_setC [in sub_setC]
Constructions.B_back [in B_back]
Constructions.B_eq [in B_eq]
Constructions.choose_pr [in choose_pr]
Constructions.emptyset_dichot [in emptyset_dichot]
Constructions.in_set0 [in in_set0]
Constructions.nonemptyP [in nonemptyP]
Constructions.rep_i [in rep_i]
Constructions.R_inc [in R_inc]
Constructions.set0_P [in set0_P]
Constructions.ssub_trans1 [in ssub_trans1]
Constructions.ssub_trans2 [in ssub_trans2]
Constructions.sub_trans [in sub_trans]
Constructions.sub_refl [in sub_refl]
Constructions.sub_set0 [in sub_set0]
Constructions.sub0_set [in sub0_set]
Constructions.Zo_P [in Zo_P]
Constructions.Zo_S [in Zo_S]
Constructions.Zo_i [in Zo_i]
Constructions.Zo_hi [in Zo_hi]
Constructions.Zo_exten1 [in Zo_exten1]
Constructions.Zo_exten2 [in Zo_exten2]
Correspondence.compf_id_left [in compf_id_left]
Correspondence.compf_image [in compf_image]
Correspondence.compf_id_id [in compf_id_id]
Correspondence.compf_id_right [in compf_id_right]
Correspondence.compf_correspondence [in compf_correspondence]
Correspondence.compf_inverse [in compf_inverse]
Correspondence.compgA [in compgA]
Correspondence.compg_composef [in compg_composef]
Correspondence.compg_range [in compg_range]
Correspondence.compg_domain [in compg_domain]
Correspondence.compg_graph [in compg_graph]
Correspondence.compg_image [in compg_image]
Correspondence.compg_domain_S [in compg_domain_S]
Correspondence.compg_rangeS [in compg_rangeS]
Correspondence.compg_P [in compg_P]
Correspondence.compg_S [in compg_S]
Correspondence.compg_pP [in compg_pP]
Correspondence.compg_inverse [in compg_inverse]
Correspondence.compose_identity_left [in compose_identity_left]
Correspondence.correspondences_P [in correspondences_P]
Correspondence.corresp_g [in corresp_g]
Correspondence.corresp_s [in corresp_s]
Correspondence.corresp_t [in corresp_t]
Correspondence.corresp_recov1 [in corresp_recov1]
Correspondence.corresp_is_graph [in corresp_is_graph]
Correspondence.corresp_sub_range [in corresp_sub_range]
Correspondence.corresp_sub_domain [in corresp_sub_domain]
Correspondence.corresp_create [in corresp_create]
Correspondence.corresp_recov [in corresp_recov]
Correspondence.corr_propcc [in corr_propcc]
Correspondence.corr_propc [in corr_propc]
Correspondence.diagonal_is_identity [in diagonal_is_identity]
Correspondence.diagonal_i_P [in diagonal_i_P]
Correspondence.diagonal_pi_P [in diagonal_pi_P]
Correspondence.dirimE [in dirimE]
Correspondence.dirim_domain [in dirim_domain]
Correspondence.dirim_set0 [in dirim_set0]
Correspondence.dirim_setn0 [in dirim_setn0]
Correspondence.dirim_Sr [in dirim_Sr]
Correspondence.dirim_P [in dirim_P]
Correspondence.dirim_S [in dirim_S]
Correspondence.dirim_set1_P [in dirim_set1_P]
Correspondence.dirim_set1_S [in dirim_set1_S]
Correspondence.icor_correspondence [in icor_correspondence]
Correspondence.icor_involutive [in icor_involutive]
Correspondence.identity_self_inverse [in identity_self_inverse]
Correspondence.identity_graph0 [in identity_graph0]
Correspondence.identity_s [in identity_s]
Correspondence.identity_t [in identity_t]
Correspondence.identity_corresp [in identity_corresp]
Correspondence.ifun_g [in ifun_g]
Correspondence.ifun_s [in ifun_s]
Correspondence.ifun_t [in ifun_t]
Correspondence.igraphP [in igraphP]
Correspondence.igraphX [in igraphX]
Correspondence.igraph_pP [in igraph_pP]
Correspondence.igraph_range [in igraph_range]
Correspondence.igraph_involutive [in igraph_involutive]
Correspondence.igraph_graph [in igraph_graph]
Correspondence.igraph_domain [in igraph_domain]
Correspondence.igraph_alt [in igraph_alt]
Correspondence.igraph_identity_g [in igraph_identity_g]
Correspondence.igraph0 [in igraph0]
Correspondence.iim_graph_P [in iim_graph_P]
Correspondence.iim_fun_P [in iim_fun_P]
Correspondence.iim_fun_pr [in iim_fun_pr]
Correspondence.inverse_direct_imageg [in inverse_direct_imageg]
Correspondence.range_domain_exists [in range_domain_exists]
Correspondence.setX_graph [in setX_graph]
Correspondence.setX_range [in setX_range]
Correspondence.setX_relP [in setX_relP]
Correspondence.setX_domain [in setX_domain]
Correspondence.sub_graph_setX [in sub_graph_setX]
Correspondence.sub_setX_graph [in sub_setX_graph]
Correspondence.triple_corr [in triple_corr]
D
derangeS [in derangeS]derangeS1 [in derangeS1]
derange_sum [in derange_sum]
derange0 [in derange0]
derange1 [in derange1]
disjointsU1 [in disjointsU1]
E
eqcard_equipotent [in eqcard_equipotent]eqn_simpl1 [in eqn_simpl1]
eqn_simpl2 [in eqn_simpl2]
eulerE [in eulerE]
eulern0 [in eulern0]
eulern1 [in eulern1]
eulern2 [in eulern2]
eulern3 [in eulern3]
eulerS [in eulerS]
euler_sum_pow [in euler_sum_pow]
euler_sum_aux [in euler_sum_aux]
euler_small [in euler_small]
euler_nn [in euler_nn]
euler_sub [in euler_sub]
euler_sum [in euler_sum]
euler_small1 [in euler_small1]
euler0m [in euler0m]
Exercise1.Cab_trans [in Cab_trans]
Exercise1.Cab_stable [in Cab_stable]
Exercise1.chained_concat [in chained_concat]
Exercise1.chained_reverse [in chained_reverse]
Exercise1.chained_reconc [in chained_reconc]
Exercise1.collectivizing_special [in collectivizing_special]
Exercise1.complement_graph_g [in complement_graph_g]
Exercise1.connected_comp_class [in connected_comp_class]
Exercise1.constituant_inter2 [in constituant_inter2]
Exercise1.constitutant_inter3 [in constitutant_inter3]
Exercise1.emptyset_pra [in emptyset_pra]
Exercise1.equivalenceS [in equivalenceS]
Exercise1.equivalence_Sgraph [in equivalence_Sgraph]
Exercise1.exercise1_1 [in exercise1_1]
Exercise1.exercise1_2 [in exercise1_2]
Exercise1.exercise1_3 [in exercise1_3]
Exercise1.exercise1_4 [in exercise1_4]
Exercise1.exercise1_5 [in exercise1_5]
Exercise1.exercise1_6 [in exercise1_6]
Exercise1.exercise2_1 [in exercise2_1]
Exercise1.exercise2_2 [in exercise2_2]
Exercise1.exercise3_1 [in exercise3_1]
Exercise1.exercise3_2 [in exercise3_2]
Exercise1.exercise3_5 [in exercise3_5]
Exercise1.exercise3_7 [in exercise3_7]
Exercise1.exercise3_8 [in exercise3_8]
Exercise1.exercise3_9 [in exercise3_9]
Exercise1.exercise3_10 [in exercise3_10]
Exercise1.exercise3_3a [in exercise3_3a]
Exercise1.exercise3_3b [in exercise3_3b]
Exercise1.exercise3_4a [in exercise3_4a]
Exercise1.exercise3_4b [in exercise3_4b]
Exercise1.exercise3_6a [in exercise3_6a]
Exercise1.exercise3_6b [in exercise3_6b]
Exercise1.exercise3_6c [in exercise3_6c]
Exercise1.exercise3_6d [in exercise3_6d]
Exercise1.exercise4_1a [in exercise4_1a]
Exercise1.exercise4_1b [in exercise4_1b]
Exercise1.exercise4_2a [in exercise4_2a]
Exercise1.exercise4_2b [in exercise4_2b]
Exercise1.exercise4_3a [in exercise4_3a]
Exercise1.exercise4_3b [in exercise4_3b]
Exercise1.exercise4_4a [in exercise4_4a]
Exercise1.exercise4_4b [in exercise4_4b]
Exercise1.exercise4_4c [in exercise4_4c]
Exercise1.exercise4_8a [in exercise4_8a]
Exercise1.exercise4_8b [in exercise4_8b]
Exercise1.exercise4_8c [in exercise4_8c]
Exercise1.exercise4_5 [in exercise4_5]
Exercise1.exercise4_6 [in exercise4_6]
Exercise1.exercise4_7 [in exercise4_7]
Exercise1.exercise4_6bis [in exercise4_6bis]
Exercise1.exercise5_1 [in exercise5_1]
Exercise1.exercise5_2 [in exercise5_2]
Exercise1.exercise5_f1 [in exercise5_f1]
Exercise1.exercise5_f2 [in exercise5_f2]
Exercise1.exercise6_11b1 [in exercise6_11b1]
Exercise1.exercise6_11b2 [in exercise6_11b2]
Exercise1.exercise6_11b3 [in exercise6_11b3]
Exercise1.exercise6_11b4 [in exercise6_11b4]
Exercise1.exercise6_6a [in exercise6_6a]
Exercise1.exercise6_6b [in exercise6_6b]
Exercise1.exercise6_6c [in exercise6_6c]
Exercise1.exercise6_6d [in exercise6_6d]
Exercise1.exercise6_1 [in exercise6_1]
Exercise1.exercise6_2 [in exercise6_2]
Exercise1.exercise6_3 [in exercise6_3]
Exercise1.exercise6_4 [in exercise6_4]
Exercise1.exercise6_5 [in exercise6_5]
Exercise1.exercise6_7 [in exercise6_7]
Exercise1.exercise6_8 [in exercise6_8]
Exercise1.exercise6_9 [in exercise6_9]
Exercise1.Exercise6_10_a [in Exercise6_10_a]
Exercise1.exercise6_10_b [in exercise6_10_b]
Exercise1.head_concat [in head_concat]
Exercise1.head_reverse [in head_reverse]
Exercise1.head_reconc [in head_reconc]
Exercise1.intransitive1pr [in intransitive1pr]
Exercise1.is_universal_pr [in is_universal_pr]
Exercise1.not_collectivizing_notin [in not_collectivizing_notin]
Exercise1.powerset_mono [in powerset_mono]
Exercise1.range_is_substrate [in range_is_substrate]
Exercise1.rel_True [in rel_True]
Exercise1.rel_False [in rel_False]
Exercise1.setF_pr [in setF_pr]
Exercise1.setF_pr2 [in setF_pr2]
Exercise1.setF_pr3 [in setF_pr3]
Exercise1.setF_pr4 [in setF_pr4]
Exercise1.set1_pr2 [in set1_pr2]
Exercise1.singleton_component [in singleton_component]
Exercise1.special_equivalence_ea [in special_equivalence_ea]
Exercise1.substrate_special_equivalence [in substrate_special_equivalence]
Exercise1.substrate_Sgraph [in substrate_Sgraph]
Exercise1.substrate_union_diag [in substrate_union_diag]
Exercise1.sub_coarse [in sub_coarse]
Exercise1.symmetricS [in symmetricS]
Exercise1.symmetric_union [in symmetric_union]
Exercise1.S_is_smallest [in S_is_smallest]
Exercise1.tail_reconc [in tail_reconc]
Exercise1.tail_reverse [in tail_reverse]
Exercise1.tail_concat [in tail_concat]
Exercise1.transitiveS [in transitiveS]
Exercise2_aux.union_monotone3 [in union_monotone3]
Exercise2_aux.transfinite_principle_bis [in transfinite_principle_bis]
Exercise2_aux.powerset_inter [in powerset_inter]
Exercise2_aux.exercise5_3 [in exercise5_3]
Exercise2_aux.Cantor_Bernstein2_full [in Cantor_Bernstein2_full]
Exercise2_aux.odiff_wrong_alt [in odiff_wrong_alt]
Exercise2_aux.example_worder_gleP [in example_worder_gleP]
Exercise2_aux.Cantor_Bernstein_aux [in Cantor_Bernstein_aux]
Exercise2_aux.odivision_exists_alt [in odivision_exists_alt]
Exercise2_aux.odiff_pr_alt [in odiff_pr_alt]
Exercise2_aux.example_is_worder [in example_is_worder]
Exercise2_aux.osum_limit_alt [in osum_limit_alt]
Exercise2_aux.inductive_graphs [in inductive_graphs]
Exercise2_aux.intersection_greatest [in intersection_greatest]
Exercise2_aux.Cantor_Bernstein2 [in Cantor_Bernstein2]
Exercise2_aux.ord_div_nonzero_b_bis [in ord_div_nonzero_b_bis]
Exercise2_aux.succ_injective2 [in succ_injective2]
Exercise2_aux.ord_div_nonzero_b [in ord_div_nonzero_b]
Exercise2_aux.cantor_worder [in cantor_worder]
Exercise2_aux.afa_ex10 [in afa_ex10]
Exercise2_aux.afa_ex11 [in afa_ex11]
Exercise2_aux.afa_ex12 [in afa_ex12]
Exercise2_aux.afa_ex1 [in afa_ex1]
Exercise2_aux.afa_ex2 [in afa_ex2]
Exercise2_aux.afa_ex3 [in afa_ex3]
Exercise2_aux.afa_ex4 [in afa_ex4]
Exercise2_aux.afa_ex5 [in afa_ex5]
Exercise2_aux.afa_ex6 [in afa_ex6]
Exercise2_aux.afa_ex7 [in afa_ex7]
Exercise2_aux.afa_ex8 [in afa_ex8]
Exercise2_aux.afa_ex9 [in afa_ex9]
Exercise2_aux.inductive_example1 [in inductive_example1]
Exercise2.cantor_tri_order_sr [in cantor_tri_order_sr]
Exercise2.cantor_tri_order_total [in cantor_tri_order_total]
Exercise2.cantor_tri_order_sr1 [in cantor_tri_order_sr1]
Exercise2.cantor_tri_order_axioms [in cantor_tri_order_axioms]
Exercise2.cantor_tri_order_gltP [in cantor_tri_order_gltP]
Exercise2.cofinal_inducedP [in cofinal_inducedP]
Exercise2.compatibility_proj_increasing [in compatibility_proj_increasing]
Exercise2.constant_increasing [in constant_increasing]
Exercise2.constant_increasing1 [in constant_increasing1]
Exercise2.cr_properties [in cr_properties]
Exercise2.disjointU_function_pr [in disjointU_function_pr]
Exercise2.disjoint_pr1 [in disjoint_pr1]
Exercise2.Exercise1_5cP [in Exercise1_5cP]
Exercise2.Exercise1_3a10 [in Exercise1_3a10]
Exercise2.Exercise1_3a11 [in Exercise1_3a11]
Exercise2.Exercise1_3a12 [in Exercise1_3a12]
Exercise2.Exercise1_3a13 [in Exercise1_3a13]
Exercise2.Exercise1_3a14 [in Exercise1_3a14]
Exercise2.Exercise1_3a15 [in Exercise1_3a15]
Exercise2.Exercise1_3a3' [in Exercise1_3a3']
Exercise2.Exercise1_3a5P [in Exercise1_3a5P]
Exercise2.Exercise1_3a6P [in Exercise1_3a6P]
Exercise2.Exercise1_3a8P [in Exercise1_3a8P]
Exercise2.Exercise1_6m' [in Exercise1_6m']
Exercise2.Exercise1_10 [in Exercise1_10]
Exercise2.Exercise1_12 [in Exercise1_12]
Exercise2.Exercise1_14 [in Exercise1_14]
Exercise2.Exercise1_2a [in Exercise1_2a]
Exercise2.Exercise1_2d [in Exercise1_2d]
Exercise2.Exercise1_2g [in Exercise1_2g]
Exercise2.Exercise1_2h [in Exercise1_2h]
Exercise2.Exercise1_2i [in Exercise1_2i]
Exercise2.Exercise1_2j [in Exercise1_2j]
Exercise2.Exercise1_4b [in Exercise1_4b]
Exercise2.Exercise1_5a [in Exercise1_5a]
Exercise2.Exercise1_5b [in Exercise1_5b]
Exercise2.Exercise1_5d [in Exercise1_5d]
Exercise2.Exercise1_5e [in Exercise1_5e]
Exercise2.Exercise1_5f [in Exercise1_5f]
Exercise2.Exercise1_5g [in Exercise1_5g]
Exercise2.Exercise1_5h [in Exercise1_5h]
Exercise2.Exercise1_6a [in Exercise1_6a]
Exercise2.Exercise1_6b [in Exercise1_6b]
Exercise2.Exercise1_6c [in Exercise1_6c]
Exercise2.Exercise1_6d [in Exercise1_6d]
Exercise2.Exercise1_5w [in Exercise1_5w]
Exercise2.Exercise1_6e [in Exercise1_6e]
Exercise2.Exercise1_6f [in Exercise1_6f]
Exercise2.Exercise1_6g [in Exercise1_6g]
Exercise2.Exercise1_6h [in Exercise1_6h]
Exercise2.Exercise1_6i [in Exercise1_6i]
Exercise2.Exercise1_6j [in Exercise1_6j]
Exercise2.Exercise1_6k [in Exercise1_6k]
Exercise2.Exercise1_6l [in Exercise1_6l]
Exercise2.Exercise1_6m [in Exercise1_6m]
Exercise2.Exercise1_6n [in Exercise1_6n]
Exercise2.Exercise1_6o [in Exercise1_6o]
Exercise2.Exercise1_6p [in Exercise1_6p]
Exercise2.Exercise1_6q [in Exercise1_6q]
Exercise2.Exercise1_6r [in Exercise1_6r]
Exercise2.Exercise1_6s [in Exercise1_6s]
Exercise2.Exercise1_7a [in Exercise1_7a]
Exercise2.Exercise1_7b [in Exercise1_7b]
Exercise2.Exercise1_7c [in Exercise1_7c]
Exercise2.Exercise1_7d [in Exercise1_7d]
Exercise2.Exercise1_7e [in Exercise1_7e]
Exercise2.Exercise1_21aP [in Exercise1_21aP]
Exercise2.Exercise1_21bP [in Exercise1_21bP]
Exercise2.Exercise1_21cP [in Exercise1_21cP]
Exercise2.Exercise1_21dP [in Exercise1_21dP]
Exercise2.Exercise1_22s1P [in Exercise1_22s1P]
Exercise2.Exercise1_21kP [in Exercise1_21kP]
Exercise2.Exercise1_22qP [in Exercise1_22qP]
Exercise2.Exercise1_22rP [in Exercise1_22rP]
Exercise2.Exercise1_23aP [in Exercise1_23aP]
Exercise2.Exercise1_23bP [in Exercise1_23bP]
Exercise2.Exercise1_23d1 [in Exercise1_23d1]
Exercise2.Exercise1_23d2 [in Exercise1_23d2]
Exercise2.Exercise1_15a1 [in Exercise1_15a1]
Exercise2.Exercise1_15a2 [in Exercise1_15a2]
Exercise2.Exercise1_15a3 [in Exercise1_15a3]
Exercise2.Exercise1_15a4 [in Exercise1_15a4]
Exercise2.Exercise1_15a5 [in Exercise1_15a5]
Exercise2.Exercise1_15a6 [in Exercise1_15a6]
Exercise2.Exercise1_15a7 [in Exercise1_15a7]
Exercise2.Exercise1_15a8 [in Exercise1_15a8]
Exercise2.Exercise1_15a9 [in Exercise1_15a9]
Exercise2.Exercise1_15b1 [in Exercise1_15b1]
Exercise2.Exercise1_15b2 [in Exercise1_15b2]
Exercise2.Exercise1_23hP [in Exercise1_23hP]
Exercise2.Exercise1_16cP [in Exercise1_16cP]
Exercise2.Exercise1_16dP [in Exercise1_16dP]
Exercise2.Exercise1_10_bis [in Exercise1_10_bis]
Exercise2.Exercise1_10_ter [in Exercise1_10_ter]
Exercise2.Exercise1_10b [in Exercise1_10b]
Exercise2.Exercise1_11a [in Exercise1_11a]
Exercise2.Exercise1_11b [in Exercise1_11b]
Exercise2.Exercise1_11c [in Exercise1_11c]
Exercise2.Exercise1_11d [in Exercise1_11d]
Exercise2.Exercise1_11e [in Exercise1_11e]
Exercise2.Exercise1_11f [in Exercise1_11f]
Exercise2.Exercise1_11g [in Exercise1_11g]
Exercise2.Exercise1_11h [in Exercise1_11h]
Exercise2.Exercise1_11i [in Exercise1_11i]
Exercise2.Exercise1_11j [in Exercise1_11j]
Exercise2.Exercise1_13a [in Exercise1_13a]
Exercise2.Exercise1_13b [in Exercise1_13b]
Exercise2.Exercise1_13c [in Exercise1_13c]
Exercise2.Exercise1_13d [in Exercise1_13d]
Exercise2.Exercise1_15c [in Exercise1_15c]
Exercise2.Exercise1_16a [in Exercise1_16a]
Exercise2.Exercise1_16b [in Exercise1_16b]
Exercise2.Exercise1_17a [in Exercise1_17a]
Exercise2.Exercise1_17b [in Exercise1_17b]
Exercise2.Exercise1_17c [in Exercise1_17c]
Exercise2.Exercise1_17d [in Exercise1_17d]
Exercise2.Exercise1_17e [in Exercise1_17e]
Exercise2.Exercise1_1 [in Exercise1_1]
Exercise2.Exercise1_8 [in Exercise1_8]
Exercise2.Exercise1_9 [in Exercise1_9]
Exercise2.Exercise1_18a [in Exercise1_18a]
Exercise2.Exercise1_18b [in Exercise1_18b]
Exercise2.Exercise1_18c [in Exercise1_18c]
Exercise2.Exercise1_18d [in Exercise1_18d]
Exercise2.Exercise1_19a [in Exercise1_19a]
Exercise2.Exercise1_19b [in Exercise1_19b]
Exercise2.Exercise1_19c [in Exercise1_19c]
Exercise2.Exercise1_19d [in Exercise1_19d]
Exercise2.Exercise1_20a [in Exercise1_20a]
Exercise2.Exercise1_20b [in Exercise1_20b]
Exercise2.Exercise1_20c [in Exercise1_20c]
Exercise2.Exercise1_20d [in Exercise1_20d]
Exercise2.Exercise1_20e [in Exercise1_20e]
Exercise2.Exercise1_20f [in Exercise1_20f]
Exercise2.Exercise1_22A [in Exercise1_22A]
Exercise2.Exercise1_22B [in Exercise1_22B]
Exercise2.Exercise1_22C [in Exercise1_22C]
Exercise2.Exercise1_22D [in Exercise1_22D]
Exercise2.Exercise1_22E [in Exercise1_22E]
Exercise2.Exercise1_22F [in Exercise1_22F]
Exercise2.Exercise1_22G [in Exercise1_22G]
Exercise2.Exercise1_22H [in Exercise1_22H]
Exercise2.Exercise1_22I [in Exercise1_22I]
Exercise2.Exercise1_21e [in Exercise1_21e]
Exercise2.Exercise1_21f [in Exercise1_21f]
Exercise2.Exercise1_21g [in Exercise1_21g]
Exercise2.Exercise1_21h [in Exercise1_21h]
Exercise2.Exercise1_21i [in Exercise1_21i]
Exercise2.Exercise1_21j [in Exercise1_21j]
Exercise2.Exercise1_21l [in Exercise1_21l]
Exercise2.Exercise1_21m [in Exercise1_21m]
Exercise2.Exercise1_21n [in Exercise1_21n]
Exercise2.Exercise1_21o [in Exercise1_21o]
Exercise2.Exercise1_21p [in Exercise1_21p]
Exercise2.Exercise1_21q [in Exercise1_21q]
Exercise2.Exercise1_21r [in Exercise1_21r]
Exercise2.Exercise1_22a [in Exercise1_22a]
Exercise2.Exercise1_22b [in Exercise1_22b]
Exercise2.Exercise1_22c [in Exercise1_22c]
Exercise2.Exercise1_22d [in Exercise1_22d]
Exercise2.Exercise1_22e [in Exercise1_22e]
Exercise2.Exercise1_22f [in Exercise1_22f]
Exercise2.Exercise1_22g [in Exercise1_22g]
Exercise2.Exercise1_22h [in Exercise1_22h]
Exercise2.Exercise1_22i [in Exercise1_22i]
Exercise2.Exercise1_22j [in Exercise1_22j]
Exercise2.Exercise1_22k [in Exercise1_22k]
Exercise2.Exercise1_22m [in Exercise1_22m]
Exercise2.Exercise1_22n [in Exercise1_22n]
Exercise2.Exercise1_22o [in Exercise1_22o]
Exercise2.Exercise1_22p [in Exercise1_22p]
Exercise2.Exercise1_15a18a [in Exercise1_15a18a]
Exercise2.Exercise1_22s [in Exercise1_22s]
Exercise2.Exercise1_22t [in Exercise1_22t]
Exercise2.Exercise1_22u [in Exercise1_22u]
Exercise2.Exercise1_23c [in Exercise1_23c]
Exercise2.Exercise1_22v [in Exercise1_22v]
Exercise2.Exercise1_22w [in Exercise1_22w]
Exercise2.Exercise1_23e [in Exercise1_23e]
Exercise2.Exercise1_22x [in Exercise1_22x]
Exercise2.Exercise1_23f [in Exercise1_23f]
Exercise2.Exercise1_22y [in Exercise1_22y]
Exercise2.Exercise1_23g [in Exercise1_23g]
Exercise2.Exercise1_22z [in Exercise1_22z]
Exercise2.Exercise1_23i [in Exercise1_23i]
Exercise2.Exercise1_23j [in Exercise1_23j]
Exercise2.Exercise1_23k [in Exercise1_23k]
Exercise2.Exercise1_23l [in Exercise1_23l]
Exercise2.Exercise1_24a [in Exercise1_24a]
Exercise2.Exercise1_24b [in Exercise1_24b]
Exercise2.Exercise1_24c [in Exercise1_24c]
Exercise2.Exercise1_24d [in Exercise1_24d]
Exercise2.Exercise1_24e [in Exercise1_24e]
Exercise2.Exercise1_24f [in Exercise1_24f]
Exercise2.Exercise1_24g [in Exercise1_24g]
Exercise2.Exercise1_15a10 [in Exercise1_15a10]
Exercise2.Exercise1_15a11 [in Exercise1_15a11]
Exercise2.Exercise1_15a12 [in Exercise1_15a12]
Exercise2.Exercise1_15a13 [in Exercise1_15a13]
Exercise2.Exercise1_15a14 [in Exercise1_15a14]
Exercise2.Exercise1_15a15 [in Exercise1_15a15]
Exercise2.Exercise1_15a16 [in Exercise1_15a16]
Exercise2.Exercise1_15a17 [in Exercise1_15a17]
Exercise2.Exercise1_15a18 [in Exercise1_15a18]
Exercise2.Exercise1_15a19 [in Exercise1_15a19]
Exercise2.Exercise1_15a20 [in Exercise1_15a20]
Exercise2.Exercise1_3a3'' [in Exercise1_3a3'']
Exercise2.Exercise1_2b1 [in Exercise1_2b1]
Exercise2.Exercise1_2c1 [in Exercise1_2c1]
Exercise2.Exercise1_2c2 [in Exercise1_2c2]
Exercise2.Exercise1_2c4 [in Exercise1_2c4]
Exercise2.Exercise1_2e1 [in Exercise1_2e1]
Exercise2.Exercise1_2e2 [in Exercise1_2e2]
Exercise2.Exercise1_2e3 [in Exercise1_2e3]
Exercise2.Exercise1_2e4 [in Exercise1_2e4]
Exercise2.Exercise1_2e5 [in Exercise1_2e5]
Exercise2.Exercise1_2f1 [in Exercise1_2f1]
Exercise2.Exercise1_2f2 [in Exercise1_2f2]
Exercise2.Exercise1_2f3 [in Exercise1_2f3]
Exercise2.Exercise1_3a0 [in Exercise1_3a0]
Exercise2.Exercise1_3a1 [in Exercise1_3a1]
Exercise2.Exercise1_3a2 [in Exercise1_3a2]
Exercise2.Exercise1_3a3 [in Exercise1_3a3]
Exercise2.Exercise1_3a4 [in Exercise1_3a4]
Exercise2.Exercise1_3a7 [in Exercise1_3a7]
Exercise2.Exercise1_3a9 [in Exercise1_3a9]
Exercise2.Exercise1_4a1 [in Exercise1_4a1]
Exercise2.Exercise1_4a2 [in Exercise1_4a2]
Exercise2.Exercise1_4a3 [in Exercise1_4a3]
Exercise2.Exercise1_4b1 [in Exercise1_4b1]
Exercise2.Exercise1_4c1 [in Exercise1_4c1]
Exercise2.Exercise1_4c2 [in Exercise1_4c2]
Exercise2.Exercise1_4c3 [in Exercise1_4c3]
Exercise2.Exercise1_4c4 [in Exercise1_4c4]
Exercise2.fs_order_osr [in fs_order_osr]
Exercise2.fs_order_gleP [in fs_order_gleP]
Exercise2.image_of_greatest [in image_of_greatest]
Exercise2.imo_gleP [in imo_gleP]
Exercise2.imo_incr [in imo_incr]
Exercise2.imo_osr [in imo_osr]
Exercise2.indexed_p2 [in indexed_p2]
Exercise2.inf_pr2 [in inf_pr2]
Exercise2.intersection_is_sup2_a [in intersection_is_sup2_a]
Exercise2.intersection_is_sup2_b [in intersection_is_sup2_b]
Exercise2.intersection_is_partition [in intersection_is_partition]
Exercise2.intersection_p2_comm [in intersection_p2_comm]
Exercise2.intersection_is_partition2 [in intersection_is_partition2]
Exercise2.intersection_is_sup_a [in intersection_is_sup_a]
Exercise2.intersection_is_sup2 [in intersection_is_sup2]
Exercise2.intersection_is_sup [in intersection_is_sup]
Exercise2.lattice_finite_sup5 [in lattice_finite_sup5]
Exercise2.lattice_finite_inf4P [in lattice_finite_inf4P]
Exercise2.lattice_finite_sup4P [in lattice_finite_sup4P]
Exercise2.lattice_finite_inf5 [in lattice_finite_inf5]
Exercise2.least_greatest_pr1 [in least_greatest_pr1]
Exercise2.ncr_properties [in ncr_properties]
Exercise2.orsum_total1 [in orsum_total1]
Exercise2.orsum_total2 [in orsum_total2]
Exercise2.orsum_pr0 [in orsum_pr0]
Exercise2.orsum_pr1 [in orsum_pr1]
Exercise2.orsum_lattice1 [in orsum_lattice1]
Exercise2.orsum_lattice2 [in orsum_lattice2]
Exercise2.orsum_lattice3 [in orsum_lattice3]
Exercise2.orsum_lattice4 [in orsum_lattice4]
Exercise2.orsum_lattice5 [in orsum_lattice5]
Exercise2.orsum_lattice6 [in orsum_lattice6]
Exercise2.orsum_g1 [in orsum_g1]
Exercise2.orsum_lattice [in orsum_lattice]
Exercise2.orsum_directed [in orsum_directed]
Exercise2.orsum2_nc [in orsum2_nc]
Exercise2.orsum2_greatest [in orsum2_greatest]
Exercise2.product2_lattice [in product2_lattice]
Exercise2.Qpairio_osr [in Qpairio_osr]
Exercise2.Qpairio_eq [in Qpairio_eq]
Exercise2.Qpairio_gle1P [in Qpairio_gle1P]
Exercise2.Qpairio_gle2P [in Qpairio_gle2P]
Exercise2.Qpairio_gle3 [in Qpairio_gle3]
Exercise2.Qpairio_gle4 [in Qpairio_gle4]
Exercise2.Qpairio_gleP [in Qpairio_gleP]
Exercise2.Qpairis_pr1P [in Qpairis_pr1P]
Exercise2.Qpairis_pr2 [in Qpairis_pr2]
Exercise2.Qpairis_prP [in Qpairis_prP]
Exercise2.Qpair_leP [in Qpair_leP]
Exercise2.Qpair_le0P [in Qpair_le0P]
Exercise2.Qpair_q [in Qpair_q]
Exercise2.Qpair_eq [in Qpair_eq]
Exercise2.Qpair_q1 [in Qpair_q1]
Exercise2.Qplus_or_gle2 [in Qplus_or_gle2]
Exercise2.Qplus_inc1 [in Qplus_inc1]
Exercise2.Qplus_inc2 [in Qplus_inc2]
Exercise2.Qplus_or_osr [in Qplus_or_osr]
Exercise2.Qplus_leq_compatP [in Qplus_leq_compatP]
Exercise2.Qplus_eq_sr [in Qplus_eq_sr]
Exercise2.Qplus_or_tor [in Qplus_or_tor]
Exercise2.Qplus_equiv [in Qplus_equiv]
Exercise2.Qplus_eq_relatedP [in Qplus_eq_relatedP]
Exercise2.Qplus_or_gle1P [in Qplus_or_gle1P]
Exercise2.Qplus1_inc1P [in Qplus1_inc1P]
Exercise2.quotient_orderP [in quotient_orderP]
Exercise2.quotient_is_preorder [in quotient_is_preorder]
Exercise2.soimP [in soimP]
Exercise2.standard_completion_involutive [in standard_completion_involutive]
Exercise2.standard_completion_unique [in standard_completion_unique]
Exercise2.standard_completion_pr [in standard_completion_pr]
Exercise2.standard_completion_monotone [in standard_completion_monotone]
Exercise2.strong_order_compatibility [in strong_order_compatibility]
Exercise2.substrate_quotient_order [in substrate_quotient_order]
Exercise2.tarski1 [in tarski1]
Exercise2.the_complement_pr [in the_complement_pr]
Exercise2.total_order_dlattice [in total_order_dlattice]
Exercise3.aleph_pr13 [in aleph_pr13]
Exercise3.Bnat_greatest [in Bnat_greatest]
Exercise3.complement_p1 [in complement_p1]
Exercise3.complement_p2 [in complement_p2]
Exercise3.complement_p3 [in complement_p3]
Exercise3.complement_p4 [in complement_p4]
Exercise3.Exercise2_1a [in Exercise2_1a]
Exercise3.Exercise2_1c [in Exercise2_1c]
Exercise3.Exercise2_1d [in Exercise2_1d]
Exercise3.Exercise2_2a [in Exercise2_2a]
Exercise3.Exercise2_2b [in Exercise2_2b]
Exercise3.Exercise2_3a [in Exercise2_3a]
Exercise3.Exercise2_3b [in Exercise2_3b]
Exercise3.Exercise2_3c [in Exercise2_3c]
Exercise3.Exercise2_6a [in Exercise2_6a]
Exercise3.Exercise2_6b [in Exercise2_6b]
Exercise3.Exercise2_6c [in Exercise2_6c]
Exercise3.Exercise2_6d [in Exercise2_6d]
Exercise3.Exercise2_6e [in Exercise2_6e]
Exercise3.Exercise2_6g [in Exercise2_6g]
Exercise3.Exercise2_6h [in Exercise2_6h]
Exercise3.Exercise2_6i [in Exercise2_6i]
Exercise3.Exercise2_7b [in Exercise2_7b]
Exercise3.Exercise2_7c [in Exercise2_7c]
Exercise3.Exercise2_7e [in Exercise2_7e]
Exercise3.Exercise2_7f [in Exercise2_7f]
Exercise3.Exercise2_7g [in Exercise2_7g]
Exercise3.Exercise2_7h [in Exercise2_7h]
Exercise3.Exercise2_8a [in Exercise2_8a]
Exercise3.Exercise2_8b [in Exercise2_8b]
Exercise3.Exercise2_8c [in Exercise2_8c]
Exercise3.Exercise2_8d [in Exercise2_8d]
Exercise3.Exercise2_7A10 [in Exercise2_7A10]
Exercise3.Exercise2_7A11 [in Exercise2_7A11]
Exercise3.Exercise2_7A12 [in Exercise2_7A12]
Exercise3.Exercise2_1bP [in Exercise2_1bP]
Exercise3.Exercise2_4 [in Exercise2_4]
Exercise3.Exercise2_5 [in Exercise2_5]
Exercise3.Exercise2_7A1 [in Exercise2_7A1]
Exercise3.Exercise2_7A2 [in Exercise2_7A2]
Exercise3.Exercise2_7A3 [in Exercise2_7A3]
Exercise3.Exercise2_7A4 [in Exercise2_7A4]
Exercise3.Exercise2_7A5 [in Exercise2_7A5]
Exercise3.Exercise2_7A6 [in Exercise2_7A6]
Exercise3.Exercise2_7A7 [in Exercise2_7A7]
Exercise3.Exercise2_7A8 [in Exercise2_7A8]
Exercise3.Exercise2_7A9 [in Exercise2_7A9]
Exercise3.Exercise2_7aP [in Exercise2_7aP]
Exercise3.Exercise2_7dP [in Exercise2_7dP]
Exercise3.Exercise3_1b [in Exercise3_1b]
Exercise3.Exercise3_2a [in Exercise3_2a]
Exercise3.Exercise3_2b [in Exercise3_2b]
Exercise3.Exercise3_2c [in Exercise3_2c]
Exercise3.Exercise3_5a [in Exercise3_5a]
Exercise3.Exercise3_5b [in Exercise3_5b]
Exercise3.Exercise3_5c [in Exercise3_5c]
Exercise3.Exercise3_5d [in Exercise3_5d]
Exercise3.Exercise3_5e [in Exercise3_5e]
Exercise3.Exercise3_5f [in Exercise3_5f]
Exercise3.Exercise3_6b [in Exercise3_6b]
Exercise3.Exercise3_6c [in Exercise3_6c]
Exercise3.Exercise3_1 [in Exercise3_1]
Exercise3.Exercise3_6 [in Exercise3_6]
Exercise3.Exercise34a [in Exercise34a]
Exercise3.Exercise34b [in Exercise34b]
Exercise3.fct_co_simpl_right [in fct_co_simpl_right]
Exercise3.fct_co_simpl_left [in fct_co_simpl_left]
Exercise3.finite_union2 [in finite_union2]
Exercise3.finite_subsets_pr [in finite_subsets_pr]
Exercise3.finite_powerset [in finite_powerset]
Exercise3.fo_osr [in fo_osr]
Exercise3.fo_gle1P [in fo_gle1P]
Exercise3.fo_inductive [in fo_inductive]
Exercise3.fo_gleP [in fo_gleP]
Exercise3.image_of_inf [in image_of_inf]
Exercise3.inclusion_morphism_a [in inclusion_morphism_a]
Exercise3.inclusion_morphism_b [in inclusion_morphism_b]
Exercise3.inc_coarse [in inc_coarse]
Exercise3.induced_sub_pr1 [in induced_sub_pr1]
Exercise3.induced_sub_pr2 [in induced_sub_pr2]
Exercise3.olexp_total [in olexp_total]
Exercise3.olexp_Gxy1 [in olexp_Gxy1]
Exercise3.olexp_G_least [in olexp_G_least]
Exercise3.olexp_Gs [in olexp_Gs]
Exercise3.olexp_ax [in olexp_ax]
Exercise3.olexp_gleP [in olexp_gleP]
Exercise3.olexp_gleh [in olexp_gleh]
Exercise3.olexp_lEp [in olexp_lEp]
Exercise3.olexp_worder [in olexp_worder]
Exercise3.olexp_Gxy [in olexp_Gxy]
Exercise3.olexp_gle1P [in olexp_gle1P]
Exercise3.olexp_osr [in olexp_osr]
Exercise3.olexp'_osr [in olexp'_osr]
Exercise3.olexp'_gleP [in olexp'_gleP]
Exercise3.olex_gleP [in olex_gleP]
Exercise3.olex_cc_comparable1 [in olex_cc_comparable1]
Exercise3.olex_cc_comparable2 [in olex_cc_comparable2]
Exercise3.olex_nsvS [in olex_nsvS]
Exercise3.olex_nsve [in olex_nsve]
Exercise3.olex_R [in olex_R]
Exercise3.olex_G_cc [in olex_G_cc]
Exercise3.olex_glt_aux [in olex_glt_aux]
Exercise3.olex_ioS [in olex_ioS]
Exercise3.olex_Fe [in olex_Fe]
Exercise3.olex_total1 [in olex_total1]
Exercise3.olex_total2 [in olex_total2]
Exercise3.olex_nsve1 [in olex_nsve1]
Exercise3.olex_lex [in olex_lex]
Exercise3.olex_sr [in olex_sr]
Exercise3.olex_nFe_Ee [in olex_nFe_Ee]
Exercise3.olex_osr [in olex_osr]
Exercise3.olex_cc_tor [in olex_cc_tor]
Exercise3.opowa_invariant [in opowa_invariant]
Exercise3.ordersP [in ordersP]
Exercise3.order_total_extension [in order_total_extension]
Exercise3.ordprod_worder_bisP [in ordprod_worder_bisP]
Exercise3.ord_powa_pr0 [in ord_powa_pr0]
Exercise3.ord_powa_pr1 [in ord_powa_pr1]
Exercise3.ord_powa_pr2 [in ord_powa_pr2]
Exercise3.ord_powa_pr3 [in ord_powa_pr3]
Exercise3.ord_powa_pr4 [in ord_powa_pr4]
Exercise3.ord_powa_pr5 [in ord_powa_pr5]
Exercise3.ord_powa_M_eqle [in ord_powa_M_eqle]
Exercise3.ord_powa_same [in ord_powa_same]
Exercise3.ord_powa_succ [in ord_powa_succ]
Exercise3.ord_sup_pr6 [in ord_sup_pr6]
Exercise3.orprod_total3P [in orprod_total3P]
Exercise3.orprod_total2 [in orprod_total2]
Exercise3.orprod_total4 [in orprod_total4]
Exercise3.orsum_wo_P [in orsum_wo_P]
Exercise3.OS_ord_powa [in OS_ord_powa]
Exercise3.power_of_suma [in power_of_suma]
Exercise3.union2_wor [in union2_wor]
Exercise3.well_ordered_opposite [in well_ordered_opposite]
Exercise3.worder_has_empty_seg [in worder_has_empty_seg]
Exercise3.worder_decreasing_finite [in worder_decreasing_finite]
Exercise4.char_fun_sub [in char_fun_sub]
Exercise4.distributive_rec [in distributive_rec]
Exercise4.Exercise4_5A1 [in Exercise4_5A1]
Exercise4.Exercise4_5A2 [in Exercise4_5A2]
Exercise4.Exercise4_7c1 [in Exercise4_7c1]
Exercise4.Exercise4_5a [in Exercise4_5a]
Exercise4.Exercise4_5b [in Exercise4_5b]
Exercise4.Exercise4_5c [in Exercise4_5c]
Exercise4.Exercise4_5d [in Exercise4_5d]
Exercise4.Exercise4_7i1 [in Exercise4_7i1]
Exercise4.Exercise4_6a [in Exercise4_6a]
Exercise4.Exercise4_6b [in Exercise4_6b]
Exercise4.Exercise4_6c [in Exercise4_6c]
Exercise4.Exercise4_6d [in Exercise4_6d]
Exercise4.Exercise4_6e [in Exercise4_6e]
Exercise4.Exercise4_6f [in Exercise4_6f]
Exercise4.Exercise4_6g [in Exercise4_6g]
Exercise4.Exercise4_6h [in Exercise4_6h]
Exercise4.Exercise4_6i [in Exercise4_6i]
Exercise4.Exercise4_6j [in Exercise4_6j]
Exercise4.Exercise4_6k [in Exercise4_6k]
Exercise4.Exercise4_6l [in Exercise4_6l]
Exercise4.Exercise4_7a [in Exercise4_7a]
Exercise4.Exercise4_7b [in Exercise4_7b]
Exercise4.Exercise4_7c [in Exercise4_7c]
Exercise4.Exercise4_7d [in Exercise4_7d]
Exercise4.Exercise4_7e [in Exercise4_7e]
Exercise4.Exercise4_7f [in Exercise4_7f]
Exercise4.Exercise4_7g [in Exercise4_7g]
Exercise4.Exercise4_7h [in Exercise4_7h]
Exercise4.Exercise4_7i [in Exercise4_7i]
Exercise4.Exercise4_7j [in Exercise4_7j]
Exercise4.Exercise4_7k [in Exercise4_7k]
Exercise4.Exercise4_7l [in Exercise4_7l]
Exercise4.Exercise4_7m [in Exercise4_7m]
Exercise4.Exercise4_7n [in Exercise4_7n]
Exercise4.Exercise4_7o [in Exercise4_7o]
Exercise4.Exercise4_7p [in Exercise4_7p]
Exercise4.Exercise4_7q [in Exercise4_7q]
Exercise4.Exercise4_8a [in Exercise4_8a]
Exercise4.Exercise4_8b [in Exercise4_8b]
Exercise4.Exercise4_8c [in Exercise4_8c]
Exercise4.Exercise4_8d [in Exercise4_8d]
Exercise4.Exercise4_8e [in Exercise4_8e]
Exercise4.Exercise4_8f [in Exercise4_8f]
Exercise4.Exercise4_8g [in Exercise4_8g]
Exercise4.Exercise4_8h [in Exercise4_8h]
Exercise4.Exercise4_8j [in Exercise4_8j]
Exercise4.Exercise4_8k [in Exercise4_8k]
Exercise4.Exercise4_8l [in Exercise4_8l]
Exercise4.Exercise4_8m [in Exercise4_8m]
Exercise4.Exercise4_8n [in Exercise4_8n]
Exercise4.Exercise4_8o [in Exercise4_8o]
Exercise4.Exercise4_8p [in Exercise4_8p]
Exercise4.Exercise4_8r [in Exercise4_8r]
Exercise4.Exercise4_8s [in Exercise4_8s]
Exercise4.Exercise4_9a [in Exercise4_9a]
Exercise4.Exercise4_8t [in Exercise4_8t]
Exercise4.Exercise4_9b [in Exercise4_9b]
Exercise4.Exercise4_8u [in Exercise4_8u]
Exercise4.Exercise4_8v [in Exercise4_8v]
Exercise4.Exercise4_8c1 [in Exercise4_8c1]
Exercise4.Exercise4_8iP [in Exercise4_8iP]
Exercise4.Exercise4_8qP [in Exercise4_8qP]
Exercise4.Exercise4_4 [in Exercise4_4]
Exercise4.Exercise4_10a [in Exercise4_10a]
Exercise4.Exercise4_10b [in Exercise4_10b]
Exercise4.Exercise4_10c [in Exercise4_10c]
Exercise4.Exercise4_10d [in Exercise4_10d]
Exercise4.Exercise4_11a [in Exercise4_11a]
Exercise4.Exercise4_11b [in Exercise4_11b]
Exercise4.Exercise4_11c [in Exercise4_11c]
Exercise4.Exercise4_11d [in Exercise4_11d]
Exercise4.Exercise4_11e [in Exercise4_11e]
Exercise4.Exercise4_11f [in Exercise4_11f]
Exercise4.Exercise4_11g [in Exercise4_11g]
Exercise4.Exercise4_11h [in Exercise4_11h]
Exercise4.Exercise4_11i [in Exercise4_11i]
Exercise4.Ex4_11_ex1_pure [in Ex4_11_ex1_pure]
Exercise4.Ex4_11_ex0 [in Ex4_11_ex0]
Exercise4.Ex4_11_ex1 [in Ex4_11_ex1]
Exercise4.Ex4_11_ex2 [in Ex4_11_ex2]
Exercise4.Ex4_11_ex0_pure [in Ex4_11_ex0_pure]
Exercise4.Ex4_11_ex3a [in Ex4_11_ex3a]
Exercise4.Ex4_11_ex3b [in Ex4_11_ex3b]
Exercise4.Ex4_11_minR_P2 [in Ex4_11_minR_P2]
Exercise4.Ex4_11_minR_mb [in Ex4_11_minR_mb]
Exercise4.Ex4_11_minR_pr [in Ex4_11_minR_pr]
Exercise4.Ex4_11_ex3_pure [in Ex4_11_ex3_pure]
Exercise4.Ex4_11_minR_pr3 [in Ex4_11_minR_pr3]
Exercise4.Ex4_11_ex2_pure [in Ex4_11_ex2_pure]
Exercise4.finite_set_minimal [in finite_set_minimal]
Exercise4.finite_set_minimal1 [in finite_set_minimal1]
Exercise4.finite_bounded_greatest_B [in finite_bounded_greatest_B]
Exercise4.finite_set_maximal1 [in finite_set_maximal1]
Exercise4.finite_is_maximal_inclusion [in finite_is_maximal_inclusion]
Exercise4.fun_image_exten [in fun_image_exten]
Exercise4.orthogonal_union_inter [in orthogonal_union_inter]
Exercise4.orthogonal_union_order [in orthogonal_union_order]
Exercise4.pure_properties_res1 [in pure_properties_res1]
Exercise4.pure_properties_res2 [in pure_properties_res2]
Exercise4.pure_properties_res3 [in pure_properties_res3]
Exercise4.pure_properties_res4 [in pure_properties_res4]
Exercise4.pure_properties_res5 [in pure_properties_res5]
Exercise4.pure_properties_res6 [in pure_properties_res6]
Exercise4.pure_properties_res7 [in pure_properties_res7]
Exercise4.pure_properties_res8 [in pure_properties_res8]
Exercise4.pure_properties_res9 [in pure_properties_res9]
Exercise4.setX_lattice_sup [in setX_lattice_sup]
Exercise4.setX_dlattice [in setX_dlattice]
Exercise4.setX_lattice_finite_sup [in setX_lattice_finite_sup]
Exercise4.setX_torder_dlattice [in setX_torder_dlattice]
Exercise4.set_of_pureP [in set_of_pureP]
Exercise4.shift_mod_n_ax [in shift_mod_n_ax]
Exercise4.shift_mod_n_fb [in shift_mod_n_fb]
Exercise4.shift_mod_n_vl [in shift_mod_n_vl]
Exercise4.sublattice_dr [in sublattice_dr]
Exercise4.sublattice_pr [in sublattice_pr]
Exercise5.aleph_pr9 [in aleph_pr9]
Exercise5.Bell_pr1 [in Bell_pr1]
Exercise5.Bell_pr2 [in Bell_pr2]
Exercise5.Bell_rec [in Bell_rec]
Exercise5.Bell_pr [in Bell_pr]
Exercise5.cardinal_set_of_increasing_functions5 [in cardinal_set_of_increasing_functions5]
Exercise5.chained_prop1 [in chained_prop1]
Exercise5.chained_prop2 [in chained_prop2]
Exercise5.chain_valP [in chain_valP]
Exercise5.chain_val_finite [in chain_val_finite]
Exercise5.cofinality_pr6 [in cofinality_pr6]
Exercise5.cofinality_pr7 [in cofinality_pr7]
Exercise5.cofinality'_pr1 [in cofinality'_pr1]
Exercise5.cofinal_image [in cofinal_image]
Exercise5.cofinal_trans [in cofinal_trans]
Exercise5.critical_product_P2 [in critical_product_P2]
Exercise5.critical_product_pr3 [in critical_product_pr3]
Exercise5.disjointness [in disjointness]
Exercise5.disjointness1 [in disjointness1]
Exercise5.even_compare [in even_compare]
Exercise5.Exercice6_5e [in Exercice6_5e]
Exercise5.Exercice6_5f [in Exercice6_5f]
Exercise5.Exercice6_5g [in Exercice6_5g]
Exercise5.Exercice6_5h [in Exercice6_5h]
Exercise5.Exercice6_5i [in Exercice6_5i]
Exercise5.Exercice6_8b [in Exercice6_8b]
Exercise5.Exercice6_8c [in Exercice6_8c]
Exercise5.exercice6_2 [in exercice6_2]
Exercise5.Exercise_6_1 [in Exercise_6_1]
Exercise5.Exercise_6_1bis [in Exercise_6_1bis]
Exercise5.exercise_6_19b [in exercise_6_19b]
Exercise5.Exercise5_10 [in Exercise5_10]
Exercise5.Exercise5_3a [in Exercise5_3a]
Exercise5.Exercise5_8a [in Exercise5_8a]
Exercise5.Exercise5_5_a1 [in Exercise5_5_a1]
Exercise5.Exercise5_5_a2 [in Exercise5_5_a2]
Exercise5.Exercise5_5_b1 [in Exercise5_5_b1]
Exercise5.Exercise5_5_b2 [in Exercise5_5_b2]
Exercise5.Exercise5_5_b3 [in Exercise5_5_b3]
Exercise5.Exercise5_1 [in Exercise5_1]
Exercise5.Exercise5_2 [in Exercise5_2]
Exercise5.Exercise5_6 [in Exercise5_6]
Exercise5.Exercise6_12a [in Exercise6_12a]
Exercise5.Exercise6_12b [in Exercise6_12b]
Exercise5.Exercise6_12c [in Exercise6_12c]
Exercise5.Exercise6_12d [in Exercise6_12d]
Exercise5.Exercise6_12e [in Exercise6_12e]
Exercise5.Exercise6_12f [in Exercise6_12f]
Exercise5.Exercise6_12g [in Exercise6_12g]
Exercise5.Exercise6_16a [in Exercise6_16a]
Exercise5.Exercise6_24a [in Exercise6_24a]
Exercise5.Exercise6_24b [in Exercise6_24b]
Exercise5.Exercise6_5a [in Exercise6_5a]
Exercise5.Exercise6_5b [in Exercise6_5b]
Exercise5.Exercise6_5c [in Exercise6_5c]
Exercise5.Exercise6_5d [in Exercise6_5d]
Exercise5.Exercise6_6a [in Exercise6_6a]
Exercise5.Exercise6_6b [in Exercise6_6b]
Exercise5.Exercise6_6c [in Exercise6_6c]
Exercise5.Exercise6_7a [in Exercise6_7a]
Exercise5.Exercise6_7b [in Exercise6_7b]
Exercise5.Exercise6_9a [in Exercise6_9a]
Exercise5.Exercise6_3 [in Exercise6_3]
Exercise5.Exercise6_4 [in Exercise6_4]
Exercise5.Exercise6_9 [in Exercise6_9]
Exercise5.image_by_fun_injective [in image_by_fun_injective]
Exercise5.infinite_increasing_power3 [in infinite_increasing_power3]
Exercise5.infinite_powerset [in infinite_powerset]
Exercise5.intersection_singletonP [in intersection_singletonP]
Exercise5.intersection_sub1 [in intersection_sub1]
Exercise5.is_singleton_int [in is_singleton_int]
Exercise5.nbder_pr [in nbder_pr]
Exercise5.nbder_0 [in nbder_0]
Exercise5.nbder_1 [in nbder_1]
Exercise5.nbder_pr2 [in nbder_pr2]
Exercise5.nbder_pr3 [in nbder_pr3]
Exercise5.nbder_pr4 [in nbder_pr4]
Exercise5.nbpart_pr1 [in nbpart_pr1]
Exercise5.nbpart_pr [in nbpart_pr]
Exercise5.nbsurj_pr [in nbsurj_pr]
Exercise5.nbsurj_rec [in nbsurj_rec]
Exercise5.nbsurj_part [in nbsurj_part]
Exercise5.nbsurj_inv [in nbsurj_inv]
Exercise5.odd_nonempty [in odd_nonempty]
Exercise5.ord_square_inj [in ord_square_inj]
Exercise5.ord_induction_p20 [in ord_induction_p20]
Exercise5.product2_infinite3 [in product2_infinite3]
Exercise5.rev_succ_pr [in rev_succ_pr]
Exercise5.setP_lattice_d1 [in setP_lattice_d1]
Exercise5.sub_disjoint [in sub_disjoint]
Exercise5.sub_chainedP [in sub_chainedP]
Exercise5.the_cnf_e_p2 [in the_cnf_e_p2]
Exercise5.the_cnf_e_p3 [in the_cnf_e_p3]
Exercise5.the_cnf_e_p4 [in the_cnf_e_p4]
Exercise5.the_cnf_e_p5 [in the_cnf_e_p5]
Exercise5.the_cnf_e_p6 [in the_cnf_e_p6]
Exercise5.the_cnf_e_p7 [in the_cnf_e_p7]
Exercise5.the_cnf_e_p8 [in the_cnf_e_p8]
Exercise5.the_cnf_e_p9 [in the_cnf_e_p9]
Exercise5.the_cnf_expos_zero [in the_cnf_expos_zero]
Exercise5.worder_image [in worder_image]
Exercise5.zequiv_empty [in zequiv_empty]
Exercise5.zequiv_transitive [in zequiv_transitive]
Exercise5.zequiv_example1 [in zequiv_example1]
Exercise5.zequiv_example2 [in zequiv_example2]
Exercise5.zequiv_example4 [in zequiv_example4]
Exercise5.zequiv_symmetric [in zequiv_symmetric]
Exercise5.zequiv_no_graph [in zequiv_no_graph]
Exercise5.zequiv_sub [in zequiv_sub]
Exercise5.zequiv_symm [in zequiv_symm]
Exercise5.zequiv_reflexive [in zequiv_reflexive]
Exercise5.zmap_setP [in zmap_setP]
Exercise5.zmap_sub [in zmap_sub]
Exercise5.zmap_symm [in zmap_symm]
Exercise5.zmap_example1 [in zmap_example1]
Exercise5.zmap_example2 [in zmap_example2]
Exercise5.zmap_example3 [in zmap_example3]
Exercise5.zmap_example4 [in zmap_example4]
Exercise5.zmap_transitive [in zmap_transitive]
Exercise5.zmap_aux_pr1 [in zmap_aux_pr1]
Exercise5.zmap_aux_pr2 [in zmap_aux_pr2]
Exercise5.zmap_bijective [in zmap_bijective]
Exercise5.zmap_pr1 [in zmap_pr1]
Exercise5.zmap_aux_pr3a [in zmap_aux_pr3a]
Exercise5.zmap_aux_pr3b [in zmap_aux_pr3b]
Exercise5.zmap_val_pr1a [in zmap_val_pr1a]
Exercise5.zmap_val_pr1b [in zmap_val_pr1b]
Exercise5.zmap_val_pr2a [in zmap_val_pr2a]
Exercise5.zmap_val_pr2b [in zmap_val_pr2b]
Exercise5.zmap_val_pr3a [in zmap_val_pr3a]
Exercise5.zmap_val_pr3b [in zmap_val_pr3b]
Exercise5.zprod_singleton [in zprod_singleton]
Exercise5.zprod2_pr1a [in zprod2_pr1a]
Exercise5.zprod2_pr1b [in zprod2_pr1b]
Exercise5.zprod2_pr0aa [in zprod2_pr0aa]
Exercise5.zprod2_pr0bb [in zprod2_pr0bb]
Exercise5.zprod2_pr0ax [in zprod2_pr0ax]
Exercise5.zprod2_pr0bx [in zprod2_pr0bx]
Exercise5.zprod2_pr0 [in zprod2_pr0]
Exercise5.zprod2_pr1 [in zprod2_pr1]
Exercise5.zprod2_pr2 [in zprod2_pr2]
Exercise5.zprod2_P [in zprod2_P]
Exercise6.csup_s1 [in csup_s1]
Exercise6.csup_s2 [in csup_s2]
Exercise6.dd_pr1 [in dd_pr1]
Exercise6.dd_pr2 [in dd_pr2]
Exercise6.dd_pr3 [in dd_pr3]
Exercise6.dd_pr4 [in dd_pr4]
Exercise6.Exercise_6_20b [in Exercise_6_20b]
Exercise6.Exercise_6_20c1 [in Exercise_6_20c1]
Exercise6.Exercise_6_20c2 [in Exercise_6_20c2]
Exercise6.Exercise6_29a [in Exercise6_29a]
Exercise6.Exercise6_29b [in Exercise6_29b]
Exercise6.Exercise6_29c [in Exercise6_29c]
Exercise6.Exercise6_29d [in Exercise6_29d]
Exercise6.Exercise6_29e [in Exercise6_29e]
Exercise6.Exercise6_29f [in Exercise6_29f]
Exercise6.Exercise6_22c1 [in Exercise6_22c1]
Exercise6.Exercise6_22c2 [in Exercise6_22c2]
Exercise6.Exercise6_33a [in Exercise6_33a]
Exercise6.Exercise6_33b [in Exercise6_33b]
Exercise6.Exercise6_33c [in Exercise6_33c]
Exercise6.Exercise6_33d [in Exercise6_33d]
Exercise6.Exercise6_33e [in Exercise6_33e]
Exercise6.Exercise6_33f [in Exercise6_33f]
Exercise6.Exercise6_33g [in Exercise6_33g]
Exercise6.Exercise6_33h [in Exercise6_33h]
Exercise6.Exercise6_33i [in Exercise6_33i]
Exercise6.Exercise6_33j [in Exercise6_33j]
Exercise6.Exercise6_33k [in Exercise6_33k]
Exercise6.Exercise6_33l [in Exercise6_33l]
Exercise6.Exercise6_33m [in Exercise6_33m]
Exercise6.Exercise6_33n [in Exercise6_33n]
Exercise6.Exercise6_33o [in Exercise6_33o]
Exercise6.Exercise6_33p [in Exercise6_33p]
Exercise6.Exercise6_33q [in Exercise6_33q]
Exercise6.inc_set_of_segments1 [in inc_set_of_segments1]
Exercise6.Noetherian_set_pr [in Noetherian_set_pr]
Exercise6.rts_extensionality1 [in rts_extensionality1]
Exercise6.rts_surjective1 [in rts_surjective1]
Exercise6.rts_function1 [in rts_function1]
Exercise6.rts_W1 [in rts_W1]
Exercise6.transfinite_unique11 [in transfinite_unique11]
exp3_addn [in exp3_addn]
exp3_addn1 [in exp3_addn1]
F
FiniteSets.bijective_if_same_finite_c_inj [in bijective_if_same_finite_c_inj]FiniteSets.bijective_if_same_finite_c_surj [in bijective_if_same_finite_c_surj]
FiniteSets.Bint_ccP1 [in Bint_ccP1]
FiniteSets.Bint_ccP [in Bint_ccP]
FiniteSets.Bint_coP [in Bint_coP]
FiniteSets.Bint_coP1 [in Bint_coP1]
FiniteSets.BnatP [in BnatP]
FiniteSets.Bnat_i [in Bnat_i]
FiniteSets.Bnat_in_product [in Bnat_in_product]
FiniteSets.Bnat_order_leP [in Bnat_order_leP]
FiniteSets.Bnat_in_sum [in Bnat_in_sum]
FiniteSets.Bnat_hi [in Bnat_hi]
FiniteSets.Bnat_oset [in Bnat_oset]
FiniteSets.Bnat_in_sum2 [in Bnat_in_sum2]
FiniteSets.Bnat_cardinal [in Bnat_cardinal]
FiniteSets.Bnat_dichot [in Bnat_dichot]
FiniteSets.Bnat_order_wor [in Bnat_order_wor]
FiniteSets.Bnat_le_infinite [in Bnat_le_infinite]
FiniteSets.Bnat_wordered [in Bnat_wordered]
FiniteSets.Bsucc_rw [in Bsucc_rw]
FiniteSets.bsum0l [in bsum0l]
FiniteSets.bsum0r [in bsum0r]
FiniteSets.BS_diff [in BS_diff]
FiniteSets.BS_lt_int [in BS_lt_int]
FiniteSets.BS_nsucc [in BS_nsucc]
FiniteSets.BS_succ [in BS_succ]
FiniteSets.BS_le_int [in BS_le_int]
FiniteSets.BS_pow [in BS_pow]
FiniteSets.BS_pow2 [in BS_pow2]
FiniteSets.BS_sum [in BS_sum]
FiniteSets.BS_prod [in BS_prod]
FiniteSets.BS0 [in BS0]
FiniteSets.BS1 [in BS1]
FiniteSets.BS2 [in BS2]
FiniteSets.BS3 [in BS3]
FiniteSets.BS4 [in BS4]
FiniteSets.cardinal_c_induction3_v [in cardinal_c_induction3_v]
FiniteSets.cardinal_c_induction [in cardinal_c_induction]
FiniteSets.cardinal_c_induction1 [in cardinal_c_induction1]
FiniteSets.cardinal_c_induction2 [in cardinal_c_induction2]
FiniteSets.cardinal_c_induction3 [in cardinal_c_induction3]
FiniteSets.cardinal_c_induction4 [in cardinal_c_induction4]
FiniteSets.card_le_succ_ltP [in card_le_succ_ltP]
FiniteSets.card_lt_succ_leP [in card_lt_succ_leP]
FiniteSets.card_succ_succ_ltP [in card_succ_succ_ltP]
FiniteSets.card_finite_setP [in card_finite_setP]
FiniteSets.card_le_succ_lt0P [in card_le_succ_lt0P]
FiniteSets.card_lt_succ [in card_lt_succ]
FiniteSets.card_le_succ [in card_le_succ]
FiniteSets.card_le_succ_succP [in card_le_succ_succP]
FiniteSets.card_le_succ0 [in card_le_succ0]
FiniteSets.cdiff_nz [in cdiff_nz]
FiniteSets.cdiff_le1 [in cdiff_le1]
FiniteSets.cpred_pr [in cpred_pr]
FiniteSets.cpred_pr1 [in cpred_pr1]
FiniteSets.cpred_pr2 [in cpred_pr2]
FiniteSets.cpred_pr3 [in cpred_pr3]
FiniteSets.cprod_via_sum' [in cprod_via_sum']
FiniteSets.cprod_via_sum [in cprod_via_sum]
FiniteSets.csum_via_succ' [in csum_via_succ']
FiniteSets.csum_via_succ1 [in csum_via_succ1]
FiniteSets.csum_via_succ [in csum_via_succ]
FiniteSets.CS_Bnat [in CS_Bnat]
FiniteSets.emptyset_finite [in emptyset_finite]
FiniteSets.equipotent_domain [in equipotent_domain]
FiniteSets.finite_image [in finite_image]
FiniteSets.finite_set_maximal [in finite_set_maximal]
FiniteSets.finite_subset_Bnat [in finite_subset_Bnat]
FiniteSets.finite_graph_domain [in finite_graph_domain]
FiniteSets.finite_subset_lattice_sup [in finite_subset_lattice_sup]
FiniteSets.finite_set_scdo [in finite_set_scdo]
FiniteSets.finite_set_torder_greatest [in finite_set_torder_greatest]
FiniteSets.finite_fun_image [in finite_fun_image]
FiniteSets.finite_subset_torder_greatest [in finite_subset_torder_greatest]
FiniteSets.finite_subset_torder_least [in finite_subset_torder_least]
FiniteSets.finite_set_induction [in finite_set_induction]
FiniteSets.finite_set_torder_least [in finite_set_torder_least]
FiniteSets.finite_set_torder_wor [in finite_set_torder_wor]
FiniteSets.finite_character_example [in finite_character_example]
FiniteSets.finite_image_by [in finite_image_by]
FiniteSets.finite_subset_directed_bounded [in finite_subset_directed_bounded]
FiniteSets.finite_subset_lattice_inf [in finite_subset_lattice_inf]
FiniteSets.finite_set_induction0 [in finite_set_induction0]
FiniteSets.finite_set_induction1 [in finite_set_induction1]
FiniteSets.finite_set_induction2 [in finite_set_induction2]
FiniteSets.finite_set_induction3 [in finite_set_induction3]
FiniteSets.finite_range [in finite_range]
FiniteSets.finite_succP [in finite_succP]
FiniteSets.finite_prod2 [in finite_prod2]
FiniteSets.finite_0 [in finite_0]
FiniteSets.finite_1 [in finite_1]
FiniteSets.finite_2 [in finite_2]
FiniteSets.infimum_setU1 [in infimum_setU1]
FiniteSets.infinite_product_alt [in infinite_product_alt]
FiniteSets.infinite_product_aux [in infinite_product_aux]
FiniteSets.infinite_product_prop2 [in infinite_product_prop2]
FiniteSets.infinite_Bnat [in infinite_Bnat]
FiniteSets.inf_setU1 [in inf_setU1]
FiniteSets.lattice_finite_sup2 [in lattice_finite_sup2]
FiniteSets.lattice_finite_inf3P [in lattice_finite_inf3P]
FiniteSets.lattice_finite_sup3P [in lattice_finite_sup3P]
FiniteSets.lattice_finite_inf2 [in lattice_finite_inf2]
FiniteSets.least_int_prop [in least_int_prop]
FiniteSets.least_int_prop1 [in least_int_prop1]
FiniteSets.least_int_prop2 [in least_int_prop2]
FiniteSets.maximal_inclusion [in maximal_inclusion]
FiniteSets.maximal_inclusion_aux [in maximal_inclusion_aux]
FiniteSets.nat_to_B_Bnat [in nat_to_B_Bnat]
FiniteSets.nat_to_B_succ [in nat_to_B_succ]
FiniteSets.nat_to_B_le [in nat_to_B_le]
FiniteSets.nat_to_B_sum [in nat_to_B_sum]
FiniteSets.nat_to_B_surjective [in nat_to_B_surjective]
FiniteSets.nat_to_B_prod [in nat_to_B_prod]
FiniteSets.nat_to_B_injective [in nat_to_B_injective]
FiniteSets.nat_to_B_diff [in nat_to_B_diff]
FiniteSets.nat_to_B_pow [in nat_to_B_pow]
FiniteSets.ordering_pair1 [in ordering_pair1]
FiniteSets.ordering_pair2 [in ordering_pair2]
FiniteSets.ordering_pair3 [in ordering_pair3]
FiniteSets.ordering_pair4 [in ordering_pair4]
FiniteSets.power_2_4 [in power_2_4]
FiniteSets.pow_succ [in pow_succ]
FiniteSets.pow_succ' [in pow_succ']
FiniteSets.range_smaller_cardinal [in range_smaller_cardinal]
FiniteSets.setU1_succ_card [in setU1_succ_card]
FiniteSets.setU1_finite [in setU1_finite]
FiniteSets.set1_finite [in set1_finite]
FiniteSets.set2_finite [in set2_finite]
FiniteSets.strict_sub_smaller [in strict_sub_smaller]
FiniteSets.strict_sub_smaller1 [in strict_sub_smaller1]
FiniteSets.succ_of_Bnat [in succ_of_Bnat]
FiniteSets.supremum_setU1 [in supremum_setU1]
FiniteSets.sup_setU1 [in sup_setU1]
FiniteSets.two_times_two [in two_times_two]
FiniteSets.two_plus_two [in two_plus_two]
FiniteSets.well_ordering_pair [in well_ordering_pair]
foo [in foo]
foo1 [in foo1]
foo2 [in foo2]
foo3 [in foo3]
Function.composef_fgraph [in composef_fgraph]
Function.composef_domain [in composef_domain]
Function.composef_range [in composef_range]
Function.composef_ev [in composef_ev]
Function.cst_graph_d [in cst_graph_d]
Function.cst_graph_ev [in cst_graph_ev]
Function.cst_graph_pr [in cst_graph_pr]
Function.cst_graph_fgraph [in cst_graph_fgraph]
Function.domainP [in domainP]
Function.domain_set0_P [in domain_set0_P]
Function.domain_set0P [in domain_set0P]
Function.domain_setU1 [in domain_setU1]
Function.domain_setU2 [in domain_setU2]
Function.domain_S [in domain_S]
Function.domain_i [in domain_i]
Function.domain_set0 [in domain_set0]
Function.domain_set1 [in domain_set1]
Function.domain_setU [in domain_setU]
Function.domain_i1 [in domain_i1]
Function.double_restr [in double_restr]
Function.fdomain_pr1 [in fdomain_pr1]
Function.fgraph_exten [in fgraph_exten]
Function.fgraph_pr [in fgraph_pr]
Function.fgraph_set0 [in fgraph_set0]
Function.fgraph_sg [in fgraph_sg]
Function.fgraph_setU1 [in fgraph_setU1]
Function.fgraph_setU2 [in fgraph_setU2]
Function.identity_ev [in identity_ev]
Function.identity_d [in identity_d]
Function.identity_r [in identity_r]
Function.identity_fgraph [in identity_fgraph]
Function.identity_sgraph [in identity_sgraph]
Function.inc_V_range [in inc_V_range]
Function.in_graph_V [in in_graph_V]
Function.Lg_create [in Lg_create]
Function.Lg_fgraph [in Lg_fgraph]
Function.Lg_i [in Lg_i]
Function.Lg_domain [in Lg_domain]
Function.Lg_range [in Lg_range]
Function.Lg_recovers [in Lg_recovers]
Function.Lg_range_P [in Lg_range_P]
Function.Lg_exten [in Lg_exten]
Function.LVg_E [in LVg_E]
Function.pr2_V [in pr2_V]
Function.rangeP [in rangeP]
Function.range_gP [in range_gP]
Function.range_i2 [in range_i2]
Function.range_set0 [in range_set0]
Function.range_set1 [in range_set1]
Function.range_S [in range_S]
Function.range_setU [in range_setU]
Function.range_i [in range_i]
Function.range_setU1 [in range_setU1]
Function.range_setU2 [in range_setU2]
Function.range_set0_P [in range_set0_P]
Function.restr_to_domain [in restr_to_domain]
Function.restr_Lg [in restr_Lg]
Function.restr_ev [in restr_ev]
Function.restr_fgraph [in restr_fgraph]
Function.restr_d [in restr_d]
Function.restr_range1 [in restr_range1]
Function.setI2_graph1 [in setI2_graph1]
Function.setI2_graph2 [in setI2_graph2]
Function.setU1_V_out [in setU1_V_out]
Function.setU1_V_in [in setU1_V_in]
Function.setU2_graph [in setU2_graph]
Function.sgraph_set0 [in sgraph_set0]
Function.sgraph_exten [in sgraph_exten]
Function.sub_graph_ev [in sub_graph_ev]
Function.sub_fgraph [in sub_fgraph]
F1 [in F1]
F1a [in F1a]
F1_aux [in F1_aux]
F10aux [in F10aux]
F11aux [in F11aux]
F12 [in F12]
F13 [in F13]
F13direct [in F13direct]
F13' [in F13']
F14 [in F14]
F22 [in F22]
F23 [in F23]
F24 [in F24]
F24_a [in F24_a]
F24_b [in F24_b]
F25 [in F25]
F27_a [in F27_a]
F27_b [in F27_b]
F28 [in F28]
F36 [in F36]
F37 [in F37]
F37bis [in F37bis]
F38 [in F38]
F5 [in F5]
F5aux [in F5aux]
F5aux2 [in F5aux2]
F6 [in F6]
F6aux [in F6aux]
F6_aux [in F6_aux]
F6' [in F6']
F7 [in F7]
F7a [in F7a]
F7aux [in F7aux]
F7b [in F7b]
F7_aux [in F7_aux]
F8 [in F8]
F8aux [in F8aux]
F8_aux [in F8_aux]
F9 [in F9]
F9aux [in F9aux]
F9aux2 [in F9aux2]
F9_aux [in F9_aux]
F9' [in F9']
G
Gamma0.add_to_cons [in add_to_cons]Gamma0.add_fin_omega [in add_fin_omega]
Gamma0.add_inj [in add_inj]
Gamma0.add_int [in add_int]
Gamma0.add_le1 [in add_le1]
Gamma0.add_le2 [in add_le2]
Gamma0.add_le3 [in add_le3]
Gamma0.add_le4 [in add_le4]
Gamma0.add1Nfin [in add1Nfin]
Gamma0.ap_pr0 [in ap_pr0]
Gamma0.ap_pr1 [in ap_pr1]
Gamma0.ap_pr2 [in ap_pr2]
Gamma0.ap_pr3 [in ap_pr3]
Gamma0.ap_pr4 [in ap_pr4]
Gamma0.ap_limit [in ap_limit]
Gamma0.le_succ_succ [in le_succ_succ]
Gamma0.le_succ_succE [in le_succ_succE]
Gamma0.limit_pr [in limit_pr]
Gamma0.limit_pr1 [in limit_pr1]
Gamma0.lt_succ_succE [in lt_succ_succE]
Gamma0.lt_tail [in lt_tail]
Gamma0.lt_succ_succ [in lt_succ_succ]
Gamma0.lt_succ_le_1 [in lt_succ_le_1]
Gamma0.lt_succ_le_2 [in lt_succ_le_2]
Gamma0.lt_succ_le_3 [in lt_succ_le_3]
Gamma0.lt_succ_le_4 [in lt_succ_le_4]
Gamma0.minus_le [in minus_le]
Gamma0.minus_lt [in minus_lt]
Gamma0.nf_sub [in nf_sub]
Gamma0.nf_pred [in nf_pred]
Gamma0.nf_split [in nf_split]
Gamma0.nf_omega [in nf_omega]
Gamma0.nf_succ [in nf_succ]
Gamma0.nf_one [in nf_one]
Gamma0.nf_phi [in nf_phi]
Gamma0.nf_psi [in nf_psi]
Gamma0.nf_finite [in nf_finite]
Gamma0.nf_add [in nf_add]
Gamma0.no_critical [in no_critical]
Gamma0.omega_lt_epsilon0 [in omega_lt_epsilon0]
Gamma0.omega_least_inf1 [in omega_least_inf1]
Gamma0.omega_least_inf2 [in omega_least_inf2]
Gamma0.omega_minus_one [in omega_minus_one]
Gamma0.phi_ap [in phi_ap]
Gamma0.phi_spec1 [in phi_spec1]
Gamma0.phi_spec2 [in phi_spec2]
Gamma0.phi_spec3 [in phi_spec3]
Gamma0.phi_inj1 [in phi_inj1]
Gamma0.phi_inv0 [in phi_inv0]
Gamma0.phi_inv1 [in phi_inv1]
Gamma0.phi_inv2 [in phi_inv2]
Gamma0.phi_inv3 [in phi_inv3]
Gamma0.phi_succ [in phi_succ]
Gamma0.phi_mono_a [in phi_mono_a]
Gamma0.phi_mono_b [in phi_mono_b]
Gamma0.phi_mono_c [in phi_mono_c]
Gamma0.phi_eqE [in phi_eqE]
Gamma0.phi_ab_le1 [in phi_ab_le1]
Gamma0.phi_ab_le2 [in phi_ab_le2]
Gamma0.phi_fix1 [in phi_fix1]
Gamma0.phi_fix2 [in phi_fix2]
Gamma0.phi_spec4a [in phi_spec4a]
Gamma0.phi_spec4b [in phi_spec4b]
Gamma0.phi_spec4c [in phi_spec4c]
Gamma0.phi_inj [in phi_inj]
Gamma0.phi_principalR [in phi_principalR]
Gamma0.phi_le1 [in phi_le1]
Gamma0.phi_le2 [in phi_le2]
Gamma0.phi_le3 [in phi_le3]
Gamma0.phi_ltE [in phi_ltE]
Gamma0.phi_cases [in phi_cases]
Gamma0.pred_le [in pred_le]
Gamma0.pred_lt [in pred_lt]
Gamma0.pred_succ [in pred_succ]
Gamma0.psi_lt1 [in psi_lt1]
Gamma0.psi_lt2 [in psi_lt2]
Gamma0.psi_phi1 [in psi_phi1]
Gamma0.size_prop [in size_prop]
Gamma0.size_prop1 [in size_prop1]
Gamma0.split_succ [in split_succ]
Gamma0.split_is_succ [in split_is_succ]
Gamma0.split_finite [in split_finite]
Gamma0.split_add [in split_add]
Gamma0.split_pred [in split_pred]
Gamma0.split_le [in split_le]
Gamma0.split_limit [in split_limit]
Gamma0.sub_nz [in sub_nz]
Gamma0.sub_pr [in sub_pr]
Gamma0.sub_pr1 [in sub_pr1]
Gamma0.sub_pr1r [in sub_pr1r]
Gamma0.sub_int [in sub_int]
Gamma0.sub_le1 [in sub_le1]
Gamma0.sub1a [in sub1a]
Gamma0.sub1b [in sub1b]
Gamma0.sub1Nfin [in sub1Nfin]
Gamma0.succ_is_add_one [in succ_is_add_one]
Gamma0.succ_inj [in succ_inj]
Gamma0.succ_lt [in succ_lt]
Gamma0.succ_p1 [in succ_p1]
Gamma0.succ_nz [in succ_nz]
Gamma0.succ_pred [in succ_pred]
Gamma0.succ_psi [in succ_psi]
Gamma0.succ_psi_lt2 [in succ_psi_lt2]
Gamma0.succ_psi_lt [in succ_psi_lt]
Gamma0.T1succ_nat [in T1succ_nat]
Gamma0.T1T2range1 [in T1T2range1]
Gamma0.T1T2range2 [in T1T2range2]
Gamma0.T1T2_inc [in T1T2_inc]
Gamma0.T1T2_inj [in T1T2_inj]
Gamma0.T2addA [in T2addA]
Gamma0.T2addn0 [in T2addn0]
Gamma0.T2add_eq0 [in T2add_eq0]
Gamma0.T2add0n [in T2add0n]
Gamma0.T2eqE [in T2eqE]
Gamma0.T2eqP [in T2eqP]
Gamma0.T2eq_add2l [in T2eq_add2l]
Gamma0.T2eq_le [in T2eq_le]
Gamma0.T2finite_succ [in T2finite_succ]
Gamma0.T2finite2 [in T2finite2]
Gamma0.T2ge1 [in T2ge1]
Gamma0.T2gt1 [in T2gt1]
Gamma0.T2leNgt [in T2leNgt]
Gamma0.T2lenn [in T2lenn]
Gamma0.T2len0 [in T2len0]
Gamma0.T2leP [in T2leP]
Gamma0.T2le_psi_b [in T2le_psi_b]
Gamma0.T2le_eqVlt [in T2le_eqVlt]
Gamma0.T2le_lt_trans [in T2le_lt_trans]
Gamma0.T2le_total [in T2le_total]
Gamma0.T2le_add2l [in T2le_add2l]
Gamma0.T2le_add2r [in T2le_add2r]
Gamma0.T2le_trans [in T2le_trans]
Gamma0.T2le_psi1 [in T2le_psi1]
Gamma0.T2le_consE [in T2le_consE]
Gamma0.T2le0n [in T2le0n]
Gamma0.T2ltE [in T2ltE]
Gamma0.T2ltgtP [in T2ltgtP]
Gamma0.T2ltNge [in T2ltNge]
Gamma0.T2ltnn [in T2ltnn]
Gamma0.T2ltn0 [in T2ltn0]
Gamma0.T2ltP [in T2ltP]
Gamma0.T2ltW [in T2ltW]
Gamma0.T2lt_psi_aux [in T2lt_psi_aux]
Gamma0.T2lt_add2l [in T2lt_add2l]
Gamma0.T2lt_add2r [in T2lt_add2r]
Gamma0.T2lt_trans [in T2lt_trans]
Gamma0.T2lt_consE [in T2lt_consE]
Gamma0.T2lt_neAle [in T2lt_neAle]
Gamma0.T2lt_le_trans [in T2lt_le_trans]
Gamma0.T2lt_ne [in T2lt_ne]
Gamma0.T2lt_psi_a [in T2lt_psi_a]
Gamma0.T2lt_psi_b [in T2lt_psi_b]
Gamma0.T2lt_ne' [in T2lt_ne']
Gamma0.T2lt_psi [in T2lt_psi]
Gamma0.T2lt_anti [in T2lt_anti]
Gamma0.T2lt_trichotomy [in T2lt_trichotomy]
Gamma0.T2lt0n [in T2lt0n]
Gamma0.T2lt1 [in T2lt1]
Gamma0.T2nat_inc [in T2nat_inc]
Gamma0.T2nf_cons_cons [in T2nf_cons_cons]
Gamma0.T2nf_consE [in T2nf_consE]
Gamma0.T2nf_finite [in T2nf_finite]
Gamma0.T2subnn [in T2subnn]
Gamma0.T2subn0 [in T2subn0]
Gamma0.T2sub0n [in T2sub0n]
G3_f' [in G3_f']
G3_a [in G3_a]
G3_b [in G3_b]
G3_c [in G3_c]
G3_d [in G3_d]
G3_e [in G3_e]
G3_f [in G3_f]
G5_a [in G5_a]
G5_b [in G5_b]
G6_a [in G6_a]
G6_b [in G6_b]
G6_c [in G6_c]
I
if_simpl [in if_simpl]Image.funI_P [in funI_P]
Image.funI_i [in funI_i]
InfiniteSets.cardinal_setC1_inf [in cardinal_setC1_inf]
InfiniteSets.card_bnat_not_zero [in card_bnat_not_zero]
InfiniteSets.cdiff_pr2_gen [in cdiff_pr2_gen]
InfiniteSets.cdiff_pr1_gen [in cdiff_pr1_gen]
InfiniteSets.cdiff_infinite [in cdiff_infinite]
InfiniteSets.cdiff_increasing2_gen [in cdiff_increasing2_gen]
InfiniteSets.change_target_pr [in change_target_pr]
InfiniteSets.countableP [in countableP]
InfiniteSets.countable_fun_image [in countable_fun_image]
InfiniteSets.countable_sub [in countable_sub]
InfiniteSets.countable_finite_or_N_b [in countable_finite_or_N_b]
InfiniteSets.countable_union [in countable_union]
InfiniteSets.countable_inv_image [in countable_inv_image]
InfiniteSets.countable_finite_or_N [in countable_finite_or_N]
InfiniteSets.countable_infiniteP [in countable_infiniteP]
InfiniteSets.countable_product [in countable_product]
InfiniteSets.csum_lt_infinite [in csum_lt_infinite]
InfiniteSets.csum_Mltlt [in csum_Mltlt]
InfiniteSets.csum2_pr6_inf1 [in csum2_pr6_inf1]
InfiniteSets.csum2_pr6_inf2 [in csum2_pr6_inf2]
InfiniteSets.decreasing_stationaryP [in decreasing_stationaryP]
InfiniteSets.decreasing_seq_prop [in decreasing_seq_prop]
InfiniteSets.equipotent_N2_N [in equipotent_N2_N]
InfiniteSets.equipotent_inf2_inf [in equipotent_inf2_inf]
InfiniteSets.finite_increasing_stationary [in finite_increasing_stationary]
InfiniteSets.finite_family_product [in finite_family_product]
InfiniteSets.increasing_stationaryP [in increasing_stationaryP]
InfiniteSets.increasing_seq_prop [in increasing_seq_prop]
InfiniteSets.induction_defined_pr_set [in induction_defined_pr_set]
InfiniteSets.induction_defined_pr_set0 [in induction_defined_pr_set0]
InfiniteSets.induction_defined_pr_set1 [in induction_defined_pr_set1]
InfiniteSets.induction_defined_pr1 [in induction_defined_pr1]
InfiniteSets.infinite_compl [in infinite_compl]
InfiniteSets.infinite_finite_subsets [in infinite_finite_subsets]
InfiniteSets.infinite_finite_sequence [in infinite_finite_sequence]
InfiniteSets.infinite_pow [in infinite_pow]
InfiniteSets.infinite_pow2 [in infinite_pow2]
InfiniteSets.infinite_gt_one [in infinite_gt_one]
InfiniteSets.infinite_union2 [in infinite_union2]
InfiniteSets.infinite_greater_countable1 [in infinite_greater_countable1]
InfiniteSets.infinite_partition [in infinite_partition]
InfiniteSets.infinite_ge_two [in infinite_ge_two]
InfiniteSets.infinite_greater_countable [in infinite_greater_countable]
InfiniteSets.integer_induction1 [in integer_induction1]
InfiniteSets.integer_induction_stable0 [in integer_induction_stable0]
InfiniteSets.integer_induction_stable1 [in integer_induction_stable1]
InfiniteSets.integer_induction_stable [in integer_induction_stable]
InfiniteSets.noetherian_induction [in noetherian_induction]
InfiniteSets.notbig_family_sum [in notbig_family_sum]
InfiniteSets.notbig_family_sum1 [in notbig_family_sum1]
InfiniteSets.power_of_infinite [in power_of_infinite]
InfiniteSets.power_of_infinite1 [in power_of_infinite1]
InfiniteSets.product2_infinite [in product2_infinite]
InfiniteSets.product2_infinite1 [in product2_infinite1]
InfiniteSets.product2_infinite2 [in product2_infinite2]
InfiniteSets.product2_infinite4 [in product2_infinite4]
InfiniteSets.product2_infinite5 [in product2_infinite5]
InfiniteSets.square_of_infinite [in square_of_infinite]
InfiniteSets.sum2_infinite [in sum2_infinite]
InfiniteSets.sum2_infinite1 [in sum2_infinite1]
InfiniteSets.sum2_infinite2 [in sum2_infinite2]
IntegerProps.bijective_complement [in bijective_complement]
IntegerProps.binomSnSm [in binomSnSm]
IntegerProps.binomSn0 [in binomSn0]
IntegerProps.binom_bad [in binom_bad]
IntegerProps.binom_2plus [in binom_2plus]
IntegerProps.binom_good [in binom_good]
IntegerProps.binom_monotone1 [in binom_monotone1]
IntegerProps.binom_monotone2 [in binom_monotone2]
IntegerProps.binom_symmetric [in binom_symmetric]
IntegerProps.binom_nn [in binom_nn]
IntegerProps.binom_symmetric2 [in binom_symmetric2]
IntegerProps.binom_2plus0 [in binom_2plus0]
IntegerProps.binom_pr0 [in binom_pr0]
IntegerProps.binom_pr1 [in binom_pr1]
IntegerProps.binom_pr3 [in binom_pr3]
IntegerProps.binom_alt_pr [in binom_alt_pr]
IntegerProps.binom0 [in binom0]
IntegerProps.binom0Sm [in binom0Sm]
IntegerProps.binom00 [in binom00]
IntegerProps.binom1 [in binom1]
IntegerProps.binom2 [in binom2]
IntegerProps.binom2a [in binom2a]
IntegerProps.Bintco_gleP [in Bintco_gleP]
IntegerProps.Bintco_wor [in Bintco_wor]
IntegerProps.BintcP [in BintcP]
IntegerProps.Bintc_M1 [in Bintc_M1]
IntegerProps.Bintc_M [in Bintc_M]
IntegerProps.Bintc_i [in Bintc_i]
IntegerProps.Binto_wor [in Binto_wor]
IntegerProps.Binto_gleP [in Binto_gleP]
IntegerProps.Binto_gleP2 [in Binto_gleP2]
IntegerProps.BintP [in BintP]
IntegerProps.BintsP [in BintsP]
IntegerProps.Bint_cc00 [in Bint_cc00]
IntegerProps.Bint_pr1 [in Bint_pr1]
IntegerProps.Bint_pr4 [in Bint_pr4]
IntegerProps.Bint_pr5 [in Bint_pr5]
IntegerProps.Bint_co_cc [in Bint_co_cc]
IntegerProps.Bint_M [in Bint_M]
IntegerProps.Bint_S [in Bint_S]
IntegerProps.Bint_i [in Bint_i]
IntegerProps.Bint_M1 [in Bint_M1]
IntegerProps.Bint_S1 [in Bint_S1]
IntegerProps.Bint_si [in Bint_si]
IntegerProps.Bint_co00 [in Bint_co00]
IntegerProps.Bint_co01 [in Bint_co01]
IntegerProps.Bint1cP [in Bint1cP]
IntegerProps.Bint1cPb [in Bint1cPb]
IntegerProps.Bnato_to_el [in Bnato_to_el]
IntegerProps.Bnat_to_ee [in Bnat_to_ee]
IntegerProps.Bnat_to_el [in Bnat_to_el]
IntegerProps.Bnat_to_ell [in Bnat_to_ell]
IntegerProps.Bnat_le_A [in Bnat_le_A]
IntegerProps.Bnat_le_R [in Bnat_le_R]
IntegerProps.Bnat_le_T [in Bnat_le_T]
IntegerProps.Bprod_M1le [in Bprod_M1le]
IntegerProps.Bsum_M0le [in Bsum_M0le]
IntegerProps.BS_factorial [in BS_factorial]
IntegerProps.BS_binom [in BS_binom]
IntegerProps.BS_quo [in BS_quo]
IntegerProps.BS_rem [in BS_rem]
IntegerProps.BS10 [in BS10]
IntegerProps.BS5 [in BS5]
IntegerProps.b_power_k_large [in b_power_k_large]
IntegerProps.cardinal_setC4 [in cardinal_setC4]
IntegerProps.cardinal_complement_image [in cardinal_complement_image]
IntegerProps.cardinal_pairs_le [in cardinal_pairs_le]
IntegerProps.cardinal_pairs_lt [in cardinal_pairs_lt]
IntegerProps.cardinal_complement_image1 [in cardinal_complement_image1]
IntegerProps.cardinal_set_of_increasing_functions [in cardinal_set_of_increasing_functions]
IntegerProps.cardinal_c_induction5 [in cardinal_c_induction5]
IntegerProps.cardinal_set_of_increasing_functions1 [in cardinal_set_of_increasing_functions1]
IntegerProps.cardinal_set_of_increasing_functions2 [in cardinal_set_of_increasing_functions2]
IntegerProps.cardinal_set_of_increasing_functions3 [in cardinal_set_of_increasing_functions3]
IntegerProps.cardinal_set_of_increasing_functions4 [in cardinal_set_of_increasing_functions4]
IntegerProps.card_mult_3_3 [in card_mult_3_3]
IntegerProps.card_division_exists [in card_division_exists]
IntegerProps.card_ltP [in card_ltP]
IntegerProps.card_plus_3_2 [in card_plus_3_2]
IntegerProps.card_division_prop_alt [in card_division_prop_alt]
IntegerProps.card_mult_10_3 [in card_mult_10_3]
IntegerProps.card_Bint [in card_Bint]
IntegerProps.card_Bint1c [in card_Bint1c]
IntegerProps.card_Bintc [in card_Bintc]
IntegerProps.card_division [in card_division]
IntegerProps.card_set_of_increasing_functions_int [in card_set_of_increasing_functions_int]
IntegerProps.card_Bintcc [in card_Bintcc]
IntegerProps.card_Bintcp [in card_Bintcp]
IntegerProps.card_division_unique [in card_division_unique]
IntegerProps.cdiffA [in cdiffA]
IntegerProps.cdiff_pr [in cdiff_pr]
IntegerProps.cdiff_increasing2 [in cdiff_increasing2]
IntegerProps.cdiff_increasing3 [in cdiff_increasing3]
IntegerProps.cdiff_wrong [in cdiff_wrong]
IntegerProps.cdiff_n_0 [in cdiff_n_0]
IntegerProps.cdiff_n_n [in cdiff_n_n]
IntegerProps.cdiff_nz1 [in cdiff_nz1]
IntegerProps.cdiff_le_symmetry [in cdiff_le_symmetry]
IntegerProps.cdiff_pr0 [in cdiff_pr0]
IntegerProps.cdiff_pr1 [in cdiff_pr1]
IntegerProps.cdiff_pr2 [in cdiff_pr2]
IntegerProps.cdiff_pr3 [in cdiff_pr3]
IntegerProps.cdiff_pr4 [in cdiff_pr4]
IntegerProps.cdiff_pr5 [in cdiff_pr5]
IntegerProps.cdiff_pr6 [in cdiff_pr6]
IntegerProps.cdiff_pr7 [in cdiff_pr7]
IntegerProps.cdiff_rpr [in cdiff_rpr]
IntegerProps.cdiff_lt_symmetry [in cdiff_lt_symmetry]
IntegerProps.cdiff_A1 [in cdiff_A1]
IntegerProps.cdistrib_prod2_sub [in cdistrib_prod2_sub]
IntegerProps.cdivides_and_difference [in cdivides_and_difference]
IntegerProps.cdivides_itself [in cdivides_itself]
IntegerProps.cdivides_one [in cdivides_one]
IntegerProps.cdivides_pr1 [in cdivides_pr1]
IntegerProps.cdivides_pr2 [in cdivides_pr2]
IntegerProps.cdivides_pr3 [in cdivides_pr3]
IntegerProps.cdivides_pr4 [in cdivides_pr4]
IntegerProps.cdivides_trans [in cdivides_trans]
IntegerProps.cdivides_pr [in cdivides_pr]
IntegerProps.cdivides_and_sum [in cdivides_and_sum]
IntegerProps.cdivides_trans1 [in cdivides_trans1]
IntegerProps.cdivides_trans2 [in cdivides_trans2]
IntegerProps.cdivision_of_zero [in cdivision_of_zero]
IntegerProps.cdivision_itself [in cdivision_itself]
IntegerProps.cdiv_pr [in cdiv_pr]
IntegerProps.char_fun_constant [in char_fun_constant]
IntegerProps.char_fun_V_aa [in char_fun_V_aa]
IntegerProps.char_fun_V_bb [in char_fun_V_bb]
IntegerProps.char_fun_setC [in char_fun_setC]
IntegerProps.char_fun_setI [in char_fun_setI]
IntegerProps.char_fun_setU [in char_fun_setU]
IntegerProps.cpow_Mltle [in cpow_Mltle]
IntegerProps.cpow_M1lt [in cpow_M1lt]
IntegerProps.cpow_Mlelt [in cpow_Mlelt]
IntegerProps.cpow_nz [in cpow_nz]
IntegerProps.cpow2_nz [in cpow2_nz]
IntegerProps.cpred_pr4 [in cpred_pr4]
IntegerProps.cprod_le_simplifiable [in cprod_le_simplifiable]
IntegerProps.cprod_Mlelt [in cprod_Mlelt]
IntegerProps.cprod_M1lt [in cprod_M1lt]
IntegerProps.cprod_simplifiable_right [in cprod_simplifiable_right]
IntegerProps.cprod_trivial4 [in cprod_trivial4]
IntegerProps.cprod_increasing6 [in cprod_increasing6]
IntegerProps.cprod_simplifiable_left [in cprod_simplifiable_left]
IntegerProps.cprod_lt_simplifiable [in cprod_lt_simplifiable]
IntegerProps.cquorem_pr0 [in cquorem_pr0]
IntegerProps.cquorem_pr [in cquorem_pr]
IntegerProps.cquo_one [in cquo_one]
IntegerProps.cquo_simplify [in cquo_simplify]
IntegerProps.cquo_zero [in cquo_zero]
IntegerProps.cquo_itself [in cquo_itself]
IntegerProps.crem_mult [in crem_mult]
IntegerProps.crem_prop [in crem_prop]
IntegerProps.crem_zero [in crem_zero]
IntegerProps.crem_pr [in crem_pr]
IntegerProps.crem_sum [in crem_sum]
IntegerProps.csucc_diff [in csucc_diff]
IntegerProps.csum_M0lt [in csum_M0lt]
IntegerProps.csum_trivial4 [in csum_trivial4]
IntegerProps.csum_lt_simplifiable [in csum_lt_simplifiable]
IntegerProps.csum_Mlteq [in csum_Mlteq]
IntegerProps.csum_le_simplifiable [in csum_le_simplifiable]
IntegerProps.csum_increasing6 [in csum_increasing6]
IntegerProps.csum_simplifiable_right [in csum_simplifiable_right]
IntegerProps.csum_Mlelt [in csum_Mlelt]
IntegerProps.csum_Meqlt [in csum_Meqlt]
IntegerProps.csum_simplifiable_left [in csum_simplifiable_left]
IntegerProps.csum_to_increasing1 [in csum_to_increasing1]
IntegerProps.csum_to_increasing2 [in csum_to_increasing2]
IntegerProps.csum_to_increasing4 [in csum_to_increasing4]
IntegerProps.csum_to_increasing5 [in csum_to_increasing5]
IntegerProps.csum_to_increasing6 [in csum_to_increasing6]
IntegerProps.CS_card_sum [in CS_card_sum]
IntegerProps.CS_card_prod [in CS_card_prod]
IntegerProps.divisibiliy_by_three [in divisibiliy_by_three]
IntegerProps.double_restrc [in double_restrc]
IntegerProps.double_diff [in double_diff]
IntegerProps.eqmod_succ [in eqmod_succ]
IntegerProps.eqmod_rem [in eqmod_rem]
IntegerProps.eqmod_plus [in eqmod_plus]
IntegerProps.eqmod_pow1 [in eqmod_pow1]
IntegerProps.eqmod_pow2 [in eqmod_pow2]
IntegerProps.eqmod_pow3 [in eqmod_pow3]
IntegerProps.eqmod_mult [in eqmod_mult]
IntegerProps.even_odd_pred [in even_odd_pred]
IntegerProps.even_two [in even_two]
IntegerProps.even_odd_sum [in even_odd_sum]
IntegerProps.even_odd_succ [in even_odd_succ]
IntegerProps.even_double [in even_double]
IntegerProps.even_zero [in even_zero]
IntegerProps.expansion_unique [in expansion_unique]
IntegerProps.expansion_exists1 [in expansion_exists1]
IntegerProps.expansion_prop10 [in expansion_prop10]
IntegerProps.expansion_prop11 [in expansion_prop11]
IntegerProps.expansion_prop12 [in expansion_prop12]
IntegerProps.expansion_prop13 [in expansion_prop13]
IntegerProps.expansion_prop14 [in expansion_prop14]
IntegerProps.expansion_prop0P [in expansion_prop0P]
IntegerProps.expansion_exists [in expansion_exists]
IntegerProps.expansion_restr1 [in expansion_restr1]
IntegerProps.expansion_restr2 [in expansion_restr2]
IntegerProps.expansion_prop1 [in expansion_prop1]
IntegerProps.expansion_prop2 [in expansion_prop2]
IntegerProps.expansion_prop3 [in expansion_prop3]
IntegerProps.expansion_prop4 [in expansion_prop4]
IntegerProps.expansion_prop5 [in expansion_prop5]
IntegerProps.expansion_prop6 [in expansion_prop6]
IntegerProps.expansion_prop7 [in expansion_prop7]
IntegerProps.expansion_prop8 [in expansion_prop8]
IntegerProps.expansion_prop9 [in expansion_prop9]
IntegerProps.factorial_induction [in factorial_induction]
IntegerProps.factorial_succ [in factorial_succ]
IntegerProps.factorial_monotone [in factorial_monotone]
IntegerProps.factorial_nz [in factorial_nz]
IntegerProps.factorial_prop [in factorial_prop]
IntegerProps.factorial0 [in factorial0]
IntegerProps.factorial1 [in factorial1]
IntegerProps.factorial2 [in factorial2]
IntegerProps.fct_sum_const1 [in fct_sum_const1]
IntegerProps.fct_sum_rev [in fct_sum_rev]
IntegerProps.fct_sum_rec0 [in fct_sum_rec0]
IntegerProps.fct_sum_rec1 [in fct_sum_rec1]
IntegerProps.fif_cardinal [in fif_cardinal]
IntegerProps.finite_sum_finite [in finite_sum_finite]
IntegerProps.finite_product_finite_set [in finite_product_finite_set]
IntegerProps.finite_product_finite_aux [in finite_product_finite_aux]
IntegerProps.finite_sum_finite_aux [in finite_sum_finite_aux]
IntegerProps.finite_sum4_lt [in finite_sum4_lt]
IntegerProps.finite_ordered_interval1 [in finite_ordered_interval1]
IntegerProps.finite_product_finite [in finite_product_finite]
IntegerProps.finite_sum_lt [in finite_sum_lt]
IntegerProps.finite_product_lt [in finite_product_lt]
IntegerProps.finite_Bintcc [in finite_Bintcc]
IntegerProps.finite_ordered_interval [in finite_ordered_interval]
IntegerProps.finite_union_finite [in finite_union_finite]
IntegerProps.finite_Bint [in finite_Bint]
IntegerProps.half_even [in half_even]
IntegerProps.increasing_compose [in increasing_compose]
IntegerProps.increasing_prop0 [in increasing_prop0]
IntegerProps.increasing_prop1 [in increasing_prop1]
IntegerProps.increasing_compose3 [in increasing_compose3]
IntegerProps.increasing_prop [in increasing_prop]
IntegerProps.incsx_intsn [in incsx_intsn]
IntegerProps.inc0_int01 [in inc0_int01]
IntegerProps.inc0_int02 [in inc0_int02]
IntegerProps.induction_prod0 [in induction_prod0]
IntegerProps.induction_prod1 [in induction_prod1]
IntegerProps.induction_term0 [in induction_term0]
IntegerProps.induction_terms [in induction_terms]
IntegerProps.induction_on_sum3 [in induction_on_sum3]
IntegerProps.induction_defined_pr [in induction_defined_pr]
IntegerProps.induction_on_sum [in induction_on_sum]
IntegerProps.induction_sum0 [in induction_sum0]
IntegerProps.induction_sum1 [in induction_sum1]
IntegerProps.induction_on_prod [in induction_on_prod]
IntegerProps.induction_defined_pr0 [in induction_defined_pr0]
IntegerProps.infinite_Bnat_alt [in infinite_Bnat_alt]
IntegerProps.integer_induction0 [in integer_induction0]
IntegerProps.integer_induction [in integer_induction]
IntegerProps.isomorphism_worder_finite [in isomorphism_worder_finite]
IntegerProps.least_int_prop [in least_int_prop]
IntegerProps.least_int_prop1 [in least_int_prop1]
IntegerProps.number_of_partitions_p2 [in number_of_partitions_p2]
IntegerProps.number_of_partitions_p3 [in number_of_partitions_p3]
IntegerProps.number_of_partitions_p4 [in number_of_partitions_p4]
IntegerProps.number_of_injections_base [in number_of_injections_base]
IntegerProps.number_of_partitions1 [in number_of_partitions1]
IntegerProps.number_of_partitions3 [in number_of_partitions3]
IntegerProps.number_of_partitions4 [in number_of_partitions4]
IntegerProps.number_of_partitions6 [in number_of_partitions6]
IntegerProps.number_of_partitions7 [in number_of_partitions7]
IntegerProps.number_of_injections_int [in number_of_injections_int]
IntegerProps.number_of_partitions_bis [in number_of_partitions_bis]
IntegerProps.number_of_permutations [in number_of_permutations]
IntegerProps.number_of_injections_prop [in number_of_injections_prop]
IntegerProps.number_of_partitions5P [in number_of_partitions5P]
IntegerProps.number_of_partitions [in number_of_partitions]
IntegerProps.number_of_injections_pr [in number_of_injections_pr]
IntegerProps.number_of_injections_rec [in number_of_injections_rec]
IntegerProps.odd_one [in odd_one]
IntegerProps.partitions_piP [in partitions_piP]
IntegerProps.pip_prop0 [in pip_prop0]
IntegerProps.quotient_of_factorials [in quotient_of_factorials]
IntegerProps.quotient_of_factorials1 [in quotient_of_factorials1]
IntegerProps.restr_plus_interval_is [in restr_plus_interval_is]
IntegerProps.segment_Bnat_order [in segment_Bnat_order]
IntegerProps.segment_Bnat_order1 [in segment_Bnat_order1]
IntegerProps.setof_sume_auxP [in setof_sume_auxP]
IntegerProps.setof_suml_auxP [in setof_suml_auxP]
IntegerProps.set_of_functions_sum_pr [in set_of_functions_sum_pr]
IntegerProps.set_of_functions_sum0 [in set_of_functions_sum0]
IntegerProps.set_of_functions_sum1 [in set_of_functions_sum1]
IntegerProps.set_of_functions_sum2 [in set_of_functions_sum2]
IntegerProps.set_of_functions_sum3 [in set_of_functions_sum3]
IntegerProps.set_of_functions_sum4 [in set_of_functions_sum4]
IntegerProps.shepherd_principle [in shepherd_principle]
IntegerProps.sof_sum_eq_equi [in sof_sum_eq_equi]
IntegerProps.sof_sum_le_equi [in sof_sum_le_equi]
IntegerProps.strict_increasing_prop0 [in strict_increasing_prop0]
IntegerProps.strict_increasing_prop1 [in strict_increasing_prop1]
IntegerProps.strict_increasing_prop2 [in strict_increasing_prop2]
IntegerProps.strict_increasing_prop3 [in strict_increasing_prop3]
IntegerProps.strict_pos_P1 [in strict_pos_P1]
IntegerProps.strict_increasing_prop [in strict_increasing_prop]
IntegerProps.strict_pos_P [in strict_pos_P]
IntegerProps.subsets_with_p_elements_pr [in subsets_with_p_elements_pr]
IntegerProps.subsets_with_p_elements_pr0 [in subsets_with_p_elements_pr0]
IntegerProps.sum_of_i2bis [in sum_of_i2bis]
IntegerProps.sum_of_gen_binom [in sum_of_gen_binom]
IntegerProps.sum_of_binomial2 [in sum_of_binomial2]
IntegerProps.sum_of_i2 [in sum_of_i2]
IntegerProps.sum_of_i3 [in sum_of_i3]
IntegerProps.sum_of_binomial [in sum_of_binomial]
IntegerProps.sum_of_i [in sum_of_i]
IntegerProps.sum_of_gen_binom0 [in sum_of_gen_binom0]
IntegerProps.sum_of_gen_binom2 [in sum_of_gen_binom2]
Intersection.disjointVeq_pr [in disjointVeq_pr]
Intersection.disjoint_subsets_P [in disjoint_subsets_P]
Intersection.disjoint_S [in disjoint_S]
Intersection.disjoint_pr [in disjoint_pr]
Intersection.nondisjoint [in nondisjoint]
Intersection.properD [in properD]
Intersection.properI2 [in properI2]
Intersection.properI2_l [in properI2_l]
Intersection.properI2_r [in properI2_r]
Intersection.properI2_set [in properI2_set]
Intersection.properU2 [in properU2]
Intersection.properU2_l [in properU2_l]
Intersection.properU2_r [in properU2_r]
Intersection.setCC_l [in setCC_l]
Intersection.setCC_r [in setCC_r]
Intersection.setCId_Pl [in setCId_Pl]
Intersection.setCI2_l [in setCI2_l]
Intersection.setCI2_r [in setCI2_r]
Intersection.setCI2_pr1 [in setCI2_pr1]
Intersection.setCU2_l [in setCU2_l]
Intersection.setCU2_r [in setCU2_r]
Intersection.setC_ni [in setC_ni]
Intersection.setC1_proper [in setC1_proper]
Intersection.setC1_eq [in setC1_eq]
Intersection.setI_hi [in setI_hi]
Intersection.setI_s1 [in setI_s1]
Intersection.setI_0 [in setI_0]
Intersection.setI_1 [in setI_1]
Intersection.setI_i [in setI_i]
Intersection.setI2id_Pl [in setI2id_Pl]
Intersection.setI2id_Pr [in setI2id_Pr]
Intersection.setI2_12S [in setI2_12S]
Intersection.setI2_AC [in setI2_AC]
Intersection.setI2_CA [in setI2_CA]
Intersection.setI2_Cr [in setI2_Cr]
Intersection.setI2_S1 [in setI2_S1]
Intersection.setI2_S2 [in setI2_S2]
Intersection.setI2_SS [in setI2_SS]
Intersection.setI2_id [in setI2_id]
Intersection.setI2_ni [in setI2_ni]
Intersection.setI2_0 [in setI2_0]
Intersection.setI2_1 [in setI2_1]
Intersection.setI2_2 [in setI2_2]
Intersection.setI2_A [in setI2_A]
Intersection.setI2_C [in setI2_C]
Intersection.setI2_P [in setI2_P]
Intersection.setI2_i [in setI2_i]
Intersection.setPI [in setPI]
Intersection.setU2_ni [in setU2_ni]
Intersection.set_CC [in set_CC]
Intersection.set_I2K [in set_I2K]
Intersection.set_K2I [in set_K2I]
Intersection.set_K2U [in set_K2U]
Intersection.set_IC1r [in set_IC1r]
Intersection.set_IU2l [in set_IU2l]
Intersection.set_IU2r [in set_IU2r]
Intersection.set_I2Cr [in set_I2Cr]
Intersection.set_UI2l [in set_UI2l]
Intersection.set_UI2r [in set_UI2r]
Intersection.set_U2K [in set_U2K]
Intersection.set_CI2 [in set_CI2]
Intersection.set_CU2 [in set_CU2]
Intersection.set0_I2 [in set0_I2]
Intersection.set2_IIl [in set2_IIl]
Intersection.set2_IIr [in set2_IIr]
Intersection.subCset_P3 [in subCset_P3]
Intersection.subI2_set [in subI2_set]
Intersection.subsetC1_P [in subsetC1_P]
Intersection.subsetI2l [in subsetI2l]
Intersection.subsetI2r [in subsetI2r]
Intersection.subsetI2_P [in subsetI2_P]
Intersection.subsets_disjoint_P [in subsets_disjoint_P]
intmul_inj [in intmul_inj]
L
Little.C1_p1 [in C1_p1]Little.C2_P [in C2_P]
Little.doubleton_inj [in doubleton_inj]
Little.inc_C0_2 [in inc_C0_2]
Little.inc_C1_2 [in inc_C1_2]
Little.set1_pr1 [in set1_pr1]
Little.set1_eq [in set1_eq]
Little.set1_ne [in set1_ne]
Little.set1_pr [in set1_pr]
Little.set1_sub [in set1_sub]
Little.set1_1 [in set1_1]
Little.set1_P [in set1_P]
Little.set1_inj [in set1_inj]
Little.set2_hi [in set2_hi]
Little.set2_ne [in set2_ne]
Little.set2_pr [in set2_pr]
Little.set2_1 [in set2_1]
Little.set2_2 [in set2_2]
Little.set2_C [in set2_C]
Little.set2_P [in set2_P]
Little.singletonP [in singletonP]
Little.small_set_pr [in small_set_pr]
Little.small0 [in small0]
Little.small1 [in small1]
Little.subset1P [in subset1P]
Little.sub_set2 [in sub_set2]
Little.sub1setP [in sub1setP]
Little.TP_ne1 [in TP_ne1]
Little.TP_ne [in TP_ne]
ltn_add_el [in ltn_add_el]
ltn_add_le [in ltn_add_le]
ltn_add_ll [in ltn_add_ll]
ltn_simpl1 [in ltn_simpl1]
ltn_simpl2 [in ltn_simpl2]
lt_wf [in lt_wf]
M
mul_Sm_binm_1 [in mul_Sm_binm_1]mul_Sm_binm_2 [in mul_Sm_binm_2]
mul_Sm_binm_r [in mul_Sm_binm_r]
N
nbsurjn0 [in nbsurjn0]nbsurjS [in nbsurjS]
nbsurj_n1 [in nbsurj_n1]
nbsurj_n2 [in nbsurj_n2]
nbsurj_nn [in nbsurj_nn]
nbsurj_small [in nbsurj_small]
nbsurj_SSnn [in nbsurj_SSnn]
nbsurj_Snn [in nbsurj_Snn]
nbsurj0n [in nbsurj0n]
nbsurj00 [in nbsurj00]
neq_sym [in neq_sym]
not_decreasing [in not_decreasing]
NumberSums.Bnat_sup_pr [in Bnat_sup_pr]
NumberSums.card_fun_image [in card_fun_image]
NumberSums.ndsNC1 [in ndsNC1]
NumberSums.ndsNC2 [in ndsNC2]
NumberSums.ndsNC3 [in ndsNC3]
NumberSums.ndsNC4 [in ndsNC4]
NumberSums.ndsNC5 [in ndsNC5]
NumberSums.ndsNC6 [in ndsNC6]
NumberSums.ndsNC7 [in ndsNC7]
NumberSums.ndsnF2 [in ndsnF2]
NumberSums.ndsnF3 [in ndsnF3]
NumberSums.ndsnF4 [in ndsnF4]
NumberSums.ndsnF5 [in ndsnF5]
NumberSums.ndsnF6 [in ndsnF6]
NumberSums.ndsnF7 [in ndsnF7]
NumberSums.ndsnF8 [in ndsnF8]
NumberSums.ndsnF9 [in ndsnF9]
NumberSums.ndstnC1 [in ndstnC1]
NumberSums.nds_sc_exten [in nds_sc_exten]
NumberSums.nds_type_p1 [in nds_type_p1]
NumberSums.nds_type_p2 [in nds_type_p2]
NumberSums.nds_type_p3 [in nds_type_p3]
NumberSums.nds_type_p4 [in nds_type_p4]
NumberSums.nds_type_p5 [in nds_type_p5]
NumberSums.nds_type_p6 [in nds_type_p6]
NumberSums.nds_type_p7 [in nds_type_p7]
NumberSums.nds_type_p8 [in nds_type_p8]
NumberSums.nds_type_p9 [in nds_type_p9]
NumberSums.nds_p1 [in nds_p1]
NumberSums.nds_p2 [in nds_p2]
NumberSums.nds_p3 [in nds_p3]
NumberSums.nds_q1 [in nds_q1]
NumberSums.nds_q2 [in nds_q2]
NumberSums.nds_q3 [in nds_q3]
NumberSums.nds_r1 [in nds_r1]
NumberSums.nds_r2 [in nds_r2]
NumberSums.nds_s1 [in nds_s1]
NumberSums.nds_s2 [in nds_s2]
NumberSums.nds_s3 [in nds_s3]
NumberSums.nds_s4 [in nds_s4]
NumberSums.nds_s5 [in nds_s5]
NumberSums.nds_s6 [in nds_s6]
NumberSums.nds_tg10 [in nds_tg10]
NumberSums.nds_tg11 [in nds_tg11]
NumberSums.nds_a [in nds_a]
NumberSums.nds_b [in nds_b]
NumberSums.nds_c [in nds_c]
NumberSums.nds_d [in nds_d]
NumberSums.nds_e [in nds_e]
NumberSums.nds_f [in nds_f]
NumberSums.nds_g [in nds_g]
NumberSums.nds_h [in nds_h]
NumberSums.nds_j [in nds_j]
NumberSums.nds_k [in nds_k]
NumberSums.nds_l [in nds_l]
NumberSums.nds_m [in nds_m]
NumberSums.nds_n [in nds_n]
NumberSums.nds_o [in nds_o]
NumberSums.nds_type_p9_aux [in nds_type_p9_aux]
NumberSums.nds_tn_C_exten [in nds_tn_C_exten]
NumberSums.nds_type_p10 [in nds_type_p10]
NumberSums.nds_type_p11 [in nds_type_p11]
NumberSums.nds_tg0 [in nds_tg0]
NumberSums.nds_tg1 [in nds_tg1]
NumberSums.nds_tg2 [in nds_tg2]
NumberSums.nds_tg3 [in nds_tg3]
NumberSums.nds_tg4 [in nds_tg4]
NumberSums.nds_tg5 [in nds_tg5]
NumberSums.nds_tg6 [in nds_tg6]
NumberSums.nds_tg7 [in nds_tg7]
NumberSums.nds_tg8 [in nds_tg8]
NumberSums.nds_tg9 [in nds_tg9]
NumberSums.nds_tn1 [in nds_tn1]
NumberSums.nds_tn2 [in nds_tn2]
NumberSums.nds_tn3 [in nds_tn3]
NumberSums.nds_tn4 [in nds_tn4]
NumberSums.nds_tn5 [in nds_tn5]
NumberSums.nds_tn6 [in nds_tn6]
NumberSums.nds_tn7 [in nds_tn7]
NumberSums.nds_tn8 [in nds_tn8]
NumberSums.nds_tn9 [in nds_tn9]
NumberSums.nds_tn11_ex [in nds_tn11_ex]
NumberSums.nds_tn10 [in nds_tn10]
NumberSums.nds_tn11 [in nds_tn11]
NumberSums.nds_tn12 [in nds_tn12]
NumberSums.nds_tn13 [in nds_tn13]
NumberSums.nds_FA_ex [in nds_FA_ex]
NumberSums.nds_card_exten [in nds_card_exten]
NumberSums.nds_type9 [in nds_type9]
NumberSums.nth_elts_succ [in nth_elts_succ]
NumberSums.nth_set0 [in nth_set0]
NumberSums.nth_set1 [in nth_set1]
NumberSums.nth_set2 [in nth_set2]
NumberSums.nth_set3 [in nth_set3]
NumberSums.nth_set4 [in nth_set4]
NumberSums.nth_set5 [in nth_set5]
NumberSums.nth_set6 [in nth_set6]
NumberSums.nth_set7 [in nth_set7]
NumberSums.nth_set8 [in nth_set8]
NumberSums.nth_set9 [in nth_set9]
NumberSums.nth_set_10 [in nth_set_10]
NumberSums.nth_set_fct_bf [in nth_set_fct_bf]
NumberSums.nth_elts0 [in nth_elts0]
NumberSums.nth_set11 [in nth_set11]
NumberSums.nth_set_M [in nth_set_M]
NumberSums.omega_monom_inj [in omega_monom_inj]
NumberSums.permutation_exists1 [in permutation_exists1]
NumberSums.permutation_exists2 [in permutation_exists2]
NumberSums.perm_int_inj [in perm_int_inj]
NumberSums.perm_int_inv [in perm_int_inv]
NumberSums.perm_int_id [in perm_int_id]
NumberSums.perm_int_surj [in perm_int_surj]
NumberSums.perm_int_comp [in perm_int_comp]
NumberSums.perm_intP [in perm_intP]
NumberSums.R1 [in R1]
NumberSums.sumpow2_a [in sumpow2_a]
NumberSums.sumpow2_b [in sumpow2_b]
NumberSums.sumpow2_c [in sumpow2_c]
NumberSums.sumpow2_d [in sumpow2_d]
NumberSums.sumpow2_e [in sumpow2_e]
NumberSums.sumpow2_f [in sumpow2_f]
NumberSums.sumpow2_g [in sumpow2_g]
NumberSums.the_CNF_omega_kj [in the_CNF_omega_kj]
NumberSums.the_CNF_omega_k [in the_CNF_omega_k]
NumberSums.transposition_prop [in transposition_prop]
n1bin [in n1bin]
n2bin [in n2bin]
n2bin' [in n2bin']
n3bin [in n3bin]
n4bin [in n4bin]
n4bin' [in n4bin']
n5bin [in n5bin]
n6bin [in n6bin]
n6bin' [in n6bin']
O
OrderType.oprod_increasing1 [in oprod_increasing1]OrderType.oprod_increasing2 [in oprod_increasing2]
OrderType.oprod_increasing3 [in oprod_increasing3]
OrderType.oprod_increasing4 [in oprod_increasing4]
OrderType.oprod_assoc2 [in oprod_assoc2]
OrderType.oprod0l' [in oprod0l']
OrderType.oprod0r' [in oprod0r']
OrderType.order_le_alt3P [in order_le_alt3P]
OrderType.order_le_alt4 [in order_le_alt4]
OrderType.order_le_transitive [in order_le_transitive]
OrderType.osum_assoc2 [in osum_assoc2]
OrderType.osum_distributive [in osum_distributive]
OrderType.osum_increasing1 [in osum_increasing1]
OrderType.osum_increasing2 [in osum_increasing2]
OrderType.osum_increasing3 [in osum_increasing3]
OrderType.osum_increasing4 [in osum_increasing4]
OrderType.OTorder_le_compat1 [in OTorder_le_compat1]
OrderType.OTorder_le_compat2 [in OTorder_le_compat2]
OrderType.OTorder_le_compatP [in OTorder_le_compatP]
OrderType.OTorder_le_alt2P [in OTorder_le_alt2P]
OrderType.OTorder_le_altP [in OTorder_le_altP]
OrderType.OT_opposite1 [in OT_opposite1]
OrderType.OT_opposite2 [in OT_opposite2]
OrderType.OT_ordinal_compat [in OT_ordinal_compat]
OrderType.OT_double_opposite [in OT_double_opposite]
OrderType.OT_sum2_pr [in OT_sum2_pr]
OrderType.OT_sum2_ordertype [in OT_sum2_ordertype]
OrderType.OT_opposite_sum [in OT_opposite_sum]
OrderType.OT_prop0 [in OT_prop0]
OrderType.OT_prop1 [in OT_prop1]
OrderType.OT_prop2 [in OT_prop2]
OrderType.OT_prop3 [in OT_prop3]
OrderType.OT_prop4 [in OT_prop4]
OrderType.OT_prod_assoc1 [in OT_prod_assoc1]
OrderType.OT_prod_assoc3 [in OT_prod_assoc3]
OrderType.OT_sum_increasing2 [in OT_sum_increasing2]
OrderType.OT_sum_increasing4 [in OT_sum_increasing4]
OrderType.OT_sum_assoc1 [in OT_sum_assoc1]
OrderType.OT_sum_assoc3 [in OT_sum_assoc3]
OrderType.OT_prod_ordertype [in OT_prod_ordertype]
OrderType.OT_prod2_pr [in OT_prod2_pr]
OrderType.OT_prod_invariant3 [in OT_prod_invariant3]
OrderType.OT_prod_invariant5 [in OT_prod_invariant5]
OrderType.OT_sum_distributive3 [in OT_sum_distributive3]
OrderType.OT_order_le_transitive [in OT_order_le_transitive]
OrderType.OT_order_le_reflexive [in OT_order_le_reflexive]
OrderType.OT_prod_increasing2 [in OT_prod_increasing2]
OrderType.OT_prod_increasing4 [in OT_prod_increasing4]
OrderType.OT_prod_pr1 [in OT_prod_pr1]
OrderType.OT_sum_ordertype [in OT_sum_ordertype]
OrderType.OT_sum_invariant3 [in OT_sum_invariant3]
OrderType.OT_sum_invariant5 [in OT_sum_invariant5]
OrderType.OT_prod2_ordertype [in OT_prod2_ordertype]
Ordinals1.aleph_oneP [in aleph_oneP]
Ordinals1.cardinal_omega2 [in cardinal_omega2]
Ordinals1.cardinal_of_ordinal [in cardinal_of_ordinal]
Ordinals1.cardinal_Bnat [in cardinal_Bnat]
Ordinals1.card_lt_sup [in card_lt_sup]
Ordinals1.clt_omegaP [in clt_omegaP]
Ordinals1.countable_ordinal_sup [in countable_ordinal_sup]
Ordinals1.countable_succ [in countable_succ]
Ordinals1.countable_leomega [in countable_leomega]
Ordinals1.countable_one [in countable_one]
Ordinals1.finite_ordinal1 [in finite_ordinal1]
Ordinals1.finite_ordinal2 [in finite_ordinal2]
Ordinals1.limit_nz [in limit_nz]
Ordinals1.limit_positive [in limit_positive]
Ordinals1.oadd1_fix [in oadd1_fix]
Ordinals1.odiff_pr1_wrong [in odiff_pr1_wrong]
Ordinals1.odiff_1inf [in odiff_1inf]
Ordinals1.odiff_wrong [in odiff_wrong]
Ordinals1.odiff_Mle [in odiff_Mle]
Ordinals1.odiff_pr1 [in odiff_pr1]
Ordinals1.odiff_pr2 [in odiff_pr2]
Ordinals1.odiff_pos [in odiff_pos]
Ordinals1.odiff_pr [in odiff_pr]
Ordinals1.odivision_exists [in odivision_exists]
Ordinals1.odivision_exists1 [in odivision_exists1]
Ordinals1.odivision_unique [in odivision_unique]
Ordinals1.olt_omegaP [in olt_omegaP]
Ordinals1.omega_nz [in omega_nz]
Ordinals1.oprec_Mlt [in oprec_Mlt]
Ordinals1.oprec_nat2 [in oprec_nat2]
Ordinals1.oprec_nat [in oprec_nat]
Ordinals1.oprodA [in oprodA]
Ordinals1.oprod_Mlteqr [in oprod_Mlteqr]
Ordinals1.oprod_Mle1 [in oprod_Mle1]
Ordinals1.oprod_a_ab [in oprod_a_ab]
Ordinals1.oprod_pr1 [in oprod_pr1]
Ordinals1.oprod_Meq1lt [in oprod_Meq1lt]
Ordinals1.oprod_set0 [in oprod_set0]
Ordinals1.oprod_set1 [in oprod_set1]
Ordinals1.oprod_expansion_exten [in oprod_expansion_exten]
Ordinals1.oprod_unit1 [in oprod_unit1]
Ordinals1.oprod_unit2 [in oprod_unit2]
Ordinals1.oprod_int_omega [in oprod_int_omega]
Ordinals1.oprod_expansion_succ [in oprod_expansion_succ]
Ordinals1.oprod_Meqler [in oprod_Meqler]
Ordinals1.oprod_expansion0 [in oprod_expansion0]
Ordinals1.oprod_expansion1 [in oprod_expansion1]
Ordinals1.oprod_expansionA [in oprod_expansionA]
Ordinals1.oprod_Meqltr [in oprod_Meqltr]
Ordinals1.oprod_M1le [in oprod_M1le]
Ordinals1.oprod_Mleeq [in oprod_Mleeq]
Ordinals1.oprod_Mlele [in oprod_Mlele]
Ordinals1.oprod_Meqle [in oprod_Meqle]
Ordinals1.oprod_Meqlt [in oprod_Meqlt]
Ordinals1.oprod_cardinal [in oprod_cardinal]
Ordinals1.oprod_assoc1 [in oprod_assoc1]
Ordinals1.oprod_rec_def [in oprod_rec_def]
Ordinals1.oprod_zero [in oprod_zero]
Ordinals1.oprod0l [in oprod0l]
Ordinals1.oprod0r [in oprod0r]
Ordinals1.oprod1l [in oprod1l]
Ordinals1.oprod1r [in oprod1r]
Ordinals1.oprod2_simpl [in oprod2_simpl]
Ordinals1.oprod2_nc [in oprod2_nc]
Ordinals1.oprod2_nz [in oprod2_nz]
Ordinals1.oprod2_rw [in oprod2_rw]
Ordinals1.oprod2_simpl1 [in oprod2_simpl1]
Ordinals1.oprod2_two [in oprod2_two]
Ordinals1.oprod2_succ [in oprod2_succ]
Ordinals1.oprod2_2int [in oprod2_2int]
Ordinals1.oprod2_countable [in oprod2_countable]
Ordinals1.oprod2_one [in oprod2_one]
Ordinals1.oprod2_lt_omega [in oprod2_lt_omega]
Ordinals1.oprod2_pos [in oprod2_pos]
Ordinals1.oquoremP [in oquoremP]
Ordinals1.oquoremP2 [in oquoremP2]
Ordinals1.order_prod_pr [in order_prod_pr]
Ordinals1.ordinal_o_set0 [in ordinal_o_set0]
Ordinals1.ordinal0_pr [in ordinal0_pr]
Ordinals1.ordinal0_pr1 [in ordinal0_pr1]
Ordinals1.ordinal0_pr2 [in ordinal0_pr2]
Ordinals1.ordinal1_pr [in ordinal1_pr]
Ordinals1.ord_sup_sub [in ord_sup_sub]
Ordinals1.ord_succ_pr [in ord_succ_pr]
Ordinals1.ord_double [in ord_double]
Ordinals1.ord_lt_2omega [in ord_lt_2omega]
Ordinals1.ord_lt0_succ [in ord_lt0_succ]
Ordinals1.ord_sup_2funI [in ord_sup_2funI]
Ordinals1.ord_cofinal_p1 [in ord_cofinal_p1]
Ordinals1.ord_cofinal_p2 [in ord_cofinal_p2]
Ordinals1.ord_cofinal_p3 [in ord_cofinal_p3]
Ordinals1.ord_cofinal_p4 [in ord_cofinal_p4]
Ordinals1.ord_cofinal_p5 [in ord_cofinal_p5]
Ordinals1.ord_lt_1omega [in ord_lt_1omega]
Ordinals1.ord_sup_M [in ord_sup_M]
Ordinals1.ord_omega_pr [in ord_omega_pr]
Ordinals1.ord_sup_1cofinal [in ord_sup_1cofinal]
Ordinals1.ord_lt_0omega [in ord_lt_0omega]
Ordinals1.ord_le_2omega [in ord_le_2omega]
Ordinals1.ord_lt_01 [in ord_lt_01]
Ordinals1.ord_lt_02 [in ord_lt_02]
Ordinals1.ord_lt_12 [in ord_lt_12]
Ordinals1.ord_sup_ordinal [in ord_sup_ordinal]
Ordinals1.ord_lt_sup [in ord_lt_sup]
Ordinals1.ord_sup_inVlimit [in ord_sup_inVlimit]
Ordinals1.ord_le_ltT_s [in ord_le_ltT_s]
Ordinals1.ord_ub_sup1 [in ord_ub_sup1]
Ordinals1.ord_sup_2cofinal [in ord_sup_2cofinal]
Ordinals1.ord2_trichotomy1 [in ord2_trichotomy1]
Ordinals1.ord2_trichotomy [in ord2_trichotomy]
Ordinals1.ord2_lt_P [in ord2_lt_P]
Ordinals1.orprod_invariant1 [in orprod_invariant1]
Ordinals1.orprod_invariant2 [in orprod_invariant2]
Ordinals1.orprod_invariant3 [in orprod_invariant3]
Ordinals1.orprod_invariant4 [in orprod_invariant4]
Ordinals1.orprod_invariant5 [in orprod_invariant5]
Ordinals1.orprod_assoc_iso [in orprod_assoc_iso]
Ordinals1.orprod_wor [in orprod_wor]
Ordinals1.orprod2_wor [in orprod2_wor]
Ordinals1.orsum_assoc_iso [in orsum_assoc_iso]
Ordinals1.orsum_invariant1 [in orsum_invariant1]
Ordinals1.orsum_invariant2 [in orsum_invariant2]
Ordinals1.orsum_invariant3 [in orsum_invariant3]
Ordinals1.orsum_invariant4 [in orsum_invariant4]
Ordinals1.orsum_invariant5 [in orsum_invariant5]
Ordinals1.orsum2_wor [in orsum2_wor]
Ordinals1.osumA [in osumA]
Ordinals1.osum_prodD [in osum_prodD]
Ordinals1.osum_Mle0 [in osum_Mle0]
Ordinals1.osum_a_ab [in osum_a_ab]
Ordinals1.osum_Meqler [in osum_Meqler]
Ordinals1.osum_set0 [in osum_set0]
Ordinals1.osum_set1 [in osum_set1]
Ordinals1.osum_rec_def [in osum_rec_def]
Ordinals1.osum_expansion0 [in osum_expansion0]
Ordinals1.osum_expansion1 [in osum_expansion1]
Ordinals1.osum_expansionA [in osum_expansionA]
Ordinals1.osum_unit1 [in osum_unit1]
Ordinals1.osum_unit2 [in osum_unit2]
Ordinals1.osum_1inf [in osum_1inf]
Ordinals1.osum_Meqltr [in osum_Meqltr]
Ordinals1.osum_x_xy [in osum_x_xy]
Ordinals1.osum_expansion_succ [in osum_expansion_succ]
Ordinals1.osum_assoc1 [in osum_assoc1]
Ordinals1.osum_Mleeq [in osum_Mleeq]
Ordinals1.osum_Mlele [in osum_Mlele]
Ordinals1.osum_Meqle [in osum_Meqle]
Ordinals1.osum_Meqlt [in osum_Meqlt]
Ordinals1.osum_M0le [in osum_M0le]
Ordinals1.osum_Mlteqr [in osum_Mlteqr]
Ordinals1.osum_cardinal [in osum_cardinal]
Ordinals1.osum_expansion_exten [in osum_expansion_exten]
Ordinals1.osum_int_omega [in osum_int_omega]
Ordinals1.osum_11_2 [in osum_11_2]
Ordinals1.osum0l [in osum0l]
Ordinals1.osum0r [in osum0r]
Ordinals1.osum2_2int [in osum2_2int]
Ordinals1.osum2_countable [in osum2_countable]
Ordinals1.osum2_simpl [in osum2_simpl]
Ordinals1.osum2_nD [in osum2_nD]
Ordinals1.osum2_nc [in osum2_nc]
Ordinals1.osum2_rw [in osum2_rw]
Ordinals1.osum2_zero [in osum2_zero]
Ordinals1.osum2_lt_omega [in osum2_lt_omega]
Ordinals1.osum2_succ [in osum2_succ]
Ordinals1.OS_sum2 [in OS_sum2]
Ordinals1.OS_prod2 [in OS_prod2]
Ordinals1.OS_osum_expansion [in OS_osum_expansion]
Ordinals1.OS_prod [in OS_prod]
Ordinals1.OS_sum [in OS_sum]
Ordinals1.OS_diff [in OS_diff]
Ordinals1.OS_oprod_expansion [in OS_oprod_expansion]
Ordinals1.set_ord_lt_prop3 [in set_ord_lt_prop3]
Ordinals1.set_ord_lt_prop3a [in set_ord_lt_prop3a]
Ordinals1.set1_ordinal [in set1_ordinal]
Ordinals1.sincr_bounded_unique [in sincr_bounded_unique]
Ordinals1.succo_nz [in succo_nz]
Ordinals1.succ_c_prod [in succ_c_prod]
Ordinals1.succ_c_pred_more [in succ_c_pred_more]
Ordinals1.succ_c_leomega [in succ_c_leomega]
Ordinals1.succ_c_zero [in succ_c_zero]
Ordinals1.succ_c_succ [in succ_c_succ]
Ordinals1.succ_c_sum [in succ_c_sum]
Ordinals1.succ_c_sup [in succ_c_sup]
Ordinals1.succ_c_pred [in succ_c_pred]
Ordinals2.add_fix_enumeration [in add_fix_enumeration]
Ordinals2.add1_fix_enumeration [in add1_fix_enumeration]
Ordinals2.all_der_p10 [in all_der_p10]
Ordinals2.all_der_p11 [in all_der_p11]
Ordinals2.all_der_p12 [in all_der_p12]
Ordinals2.all_der_p13 [in all_der_p13]
Ordinals2.all_der_p14 [in all_der_p14]
Ordinals2.all_der_p5' [in all_der_p5']
Ordinals2.all_der_p10' [in all_der_p10']
Ordinals2.all_der_bound_prop2 [in all_der_bound_prop2]
Ordinals2.all_der_unique [in all_der_unique]
Ordinals2.all_der_p5'' [in all_der_p5'']
Ordinals2.all_der_bound_prop [in all_der_bound_prop]
Ordinals2.all_der_p13_bis [in all_der_p13_bis]
Ordinals2.all_der_p13_ter [in all_der_p13_ter]
Ordinals2.all_der_p12_bis [in all_der_p12_bis]
Ordinals2.all_der_p1 [in all_der_p1]
Ordinals2.all_der_p2 [in all_der_p2]
Ordinals2.all_der_p3 [in all_der_p3]
Ordinals2.all_der_p4 [in all_der_p4]
Ordinals2.all_der_p5 [in all_der_p5]
Ordinals2.all_der_p6 [in all_der_p6]
Ordinals2.all_der_p7 [in all_der_p7]
Ordinals2.all_der_p8 [in all_der_p8]
Ordinals2.all_der_p9 [in all_der_p9]
Ordinals2.big_ofs [in big_ofs]
Ordinals2.cardinal_indecomposable1 [in cardinal_indecomposable1]
Ordinals2.cardinal_indecomposable [in cardinal_indecomposable]
Ordinals2.closed_cofinal_inter [in closed_cofinal_inter]
Ordinals2.collectivising_srel_ord [in collectivising_srel_ord]
Ordinals2.collectivising_srel_ord_seg [in collectivising_srel_ord_seg]
Ordinals2.critical_indecomposable [in critical_indecomposable]
Ordinals2.critical_limit [in critical_limit]
Ordinals2.first_derivation_p [in first_derivation_p]
Ordinals2.first_derivation_p0 [in first_derivation_p0]
Ordinals2.first_derivation_p1 [in first_derivation_p1]
Ordinals2.first_derivation_p2 [in first_derivation_p2]
Ordinals2.first_derivation_p3 [in first_derivation_p3]
Ordinals2.first_derivation_p4 [in first_derivation_p4]
Ordinals2.first_derivation_exten [in first_derivation_exten]
Ordinals2.iclosed_fixpoints [in iclosed_fixpoints]
Ordinals2.iclosed_normal_ofs [in iclosed_normal_ofs]
Ordinals2.iclosed_col_f0 [in iclosed_col_f0]
Ordinals2.iclosed_col_fs [in iclosed_col_fs]
Ordinals2.iclosed_lim [in iclosed_lim]
Ordinals2.iclosed_normal_ofs1 [in iclosed_normal_ofs1]
Ordinals2.iclosed_ord [in iclosed_ord]
Ordinals2.iclosed_nonlim [in iclosed_nonlim]
Ordinals2.iclosed_normal_fun [in iclosed_normal_fun]
Ordinals2.iclosed_fixpoints_fun [in iclosed_fixpoints_fun]
Ordinals2.indecompP [in indecompP]
Ordinals2.indecomp_omega [in indecomp_omega]
Ordinals2.indecomp_sup [in indecomp_sup]
Ordinals2.indecomp_div [in indecomp_div]
Ordinals2.indecomp_sup1 [in indecomp_sup1]
Ordinals2.indecomp_closed_noncoll [in indecomp_closed_noncoll]
Ordinals2.indecomp_limit2 [in indecomp_limit2]
Ordinals2.indecomp_example [in indecomp_example]
Ordinals2.indecomp_enum [in indecomp_enum]
Ordinals2.indecomp_pr [in indecomp_pr]
Ordinals2.indecomp_limit [in indecomp_limit]
Ordinals2.indecomp_one [in indecomp_one]
Ordinals2.indecomp_prod2 [in indecomp_prod2]
Ordinals2.indecomp_prod3 [in indecomp_prod3]
Ordinals2.indecomp_prodP [in indecomp_prodP]
Ordinals2.indecomp_prop1 [in indecomp_prop1]
Ordinals2.indecomp_prop2 [in indecomp_prop2]
Ordinals2.indecomp_prop3 [in indecomp_prop3]
Ordinals2.indecomp_prop4 [in indecomp_prop4]
Ordinals2.indecomp_omega1 [in indecomp_omega1]
Ordinals2.is_critical_pr [in is_critical_pr]
Ordinals2.least_ordinal5 [in least_ordinal5]
Ordinals2.limit_ordinal_P4 [in limit_ordinal_P4]
Ordinals2.limit_infinite1 [in limit_infinite1]
Ordinals2.many_der_ex [in many_der_ex]
Ordinals2.many_der_unique [in many_der_unique]
Ordinals2.mult_fix_enumeration [in mult_fix_enumeration]
Ordinals2.next_fix_point_small1 [in next_fix_point_small1]
Ordinals2.next_fix_point_small [in next_fix_point_small]
Ordinals2.non_succ_ord_enum [in non_succ_ord_enum]
Ordinals2.non_zero_ord_enum [in non_zero_ord_enum]
Ordinals2.normal_ofs_compose [in normal_ofs_compose]
Ordinals2.normal_function_fix [in normal_function_fix]
Ordinals2.normal_ofs_limit [in normal_ofs_limit]
Ordinals2.normal_ofs_from_exten [in normal_ofs_from_exten]
Ordinals2.normal_shift [in normal_shift]
Ordinals2.normal_ofs_fix1 [in normal_ofs_fix1]
Ordinals2.normal_ofs_uniqueness [in normal_ofs_uniqueness]
Ordinals2.normal_ofs_bounded [in normal_ofs_bounded]
Ordinals2.normal_ofs_limit1 [in normal_ofs_limit1]
Ordinals2.normal_ofs_equiv1 [in normal_ofs_equiv1]
Ordinals2.normal_ofs_equiv2 [in normal_ofs_equiv2]
Ordinals2.normal_ofs_compose1 [in normal_ofs_compose1]
Ordinals2.normal_function_equiv [in normal_function_equiv]
Ordinals2.normal_ofs_restriction [in normal_ofs_restriction]
Ordinals2.normal_ofs_uniqueness1 [in normal_ofs_uniqueness1]
Ordinals2.normal_fn_unbounded [in normal_fn_unbounded]
Ordinals2.normal_function_incr [in normal_function_incr]
Ordinals2.normal_ofs_existence [in normal_ofs_existence]
Ordinals2.normal_fix_points_similara [in normal_fix_points_similara]
Ordinals2.normal_fix_points_similarb [in normal_fix_points_similarb]
Ordinals2.normal_ofs_equiv [in normal_ofs_equiv]
Ordinals2.normal_fix_cofinal [in normal_fix_cofinal]
Ordinals2.normal_ofs_fix [in normal_ofs_fix]
Ordinals2.odiff_normal [in odiff_normal]
Ordinals2.ofs_add_restr [in ofs_add_restr]
Ordinals2.ofs_mul_restr [in ofs_mul_restr]
Ordinals2.ofs_sincr [in ofs_sincr]
Ordinals2.ofs_sincru [in ofs_sincru]
Ordinals2.ointvP [in ointvP]
Ordinals2.ointvP0 [in ointvP0]
Ordinals2.ointv_sup1 [in ointv_sup1]
Ordinals2.ointv_pr1 [in ointv_pr1]
Ordinals2.ointv_pr2 [in ointv_pr2]
Ordinals2.ointv_sup [in ointv_sup]
Ordinals2.ointv1 [in ointv1]
Ordinals2.omaxA [in omaxA]
Ordinals2.omaxC [in omaxC]
Ordinals2.omax_p1 [in omax_p1]
Ordinals2.omax_p2 [in omax_p2]
Ordinals2.omax_p3 [in omax_p3]
Ordinals2.omega_div [in omega_div]
Ordinals2.omega_pow_nz [in omega_pow_nz]
Ordinals2.omega_log_p1 [in omega_log_p1]
Ordinals2.omega_pow_pos [in omega_pow_pos]
Ordinals2.opowx0 [in opowx0]
Ordinals2.opowx1 [in opowx1]
Ordinals2.opow_nz0 [in opow_nz0]
Ordinals2.opow_pos [in opow_pos]
Ordinals2.opow_2int [in opow_2int]
Ordinals2.opow_regular [in opow_regular]
Ordinals2.opow_sum [in opow_sum]
Ordinals2.opow_countable [in opow_countable]
Ordinals2.opow_prod [in opow_prod]
Ordinals2.opow_normal [in opow_normal]
Ordinals2.opow_Meqle1 [in opow_Meqle1]
Ordinals2.opow_Mleeq [in opow_Mleeq]
Ordinals2.opow_Mlele [in opow_Mlele]
Ordinals2.opow_Meqltr [in opow_Meqltr]
Ordinals2.opow_rec_def [in opow_rec_def]
Ordinals2.opow_Meqle [in opow_Meqle]
Ordinals2.opow_Meqlt [in opow_Meqlt]
Ordinals2.opow_2int1 [in opow_2int1]
Ordinals2.opow_eq_one [in opow_eq_one]
Ordinals2.opow_Mspec [in opow_Mspec]
Ordinals2.opow_Momega_le [in opow_Momega_le]
Ordinals2.opow_succ [in opow_succ]
Ordinals2.opow_Momega_lt [in opow_Momega_lt]
Ordinals2.opow_Mspec2 [in opow_Mspec2]
Ordinals2.opow0x [in opow0x]
Ordinals2.opow0x' [in opow0x']
Ordinals2.opow00 [in opow00]
Ordinals2.opow1x [in opow1x]
Ordinals2.opow2x [in opow2x]
Ordinals2.opow2_pos [in opow2_pos]
Ordinals2.oprod_limit [in oprod_limit]
Ordinals2.oprod_fix1 [in oprod_fix1]
Ordinals2.oprod_fix2 [in oprod_fix2]
Ordinals2.oprod_normal [in oprod_normal]
Ordinals2.ordinalrsP [in ordinalrsP]
Ordinals2.ordinalr_segment [in ordinalr_segment]
Ordinals2.ordinalr_Mle [in ordinalr_Mle]
Ordinals2.ordinalr_Mlt [in ordinalr_Mlt]
Ordinals2.ordinalsP [in ordinalsP]
Ordinals2.ordinalsrP [in ordinalsrP]
Ordinals2.ordinals_set_normal [in ordinals_set_normal]
Ordinals2.ordinals_set_iso [in ordinals_set_iso]
Ordinals2.ordinals_Mle [in ordinals_Mle]
Ordinals2.ordinals_Mlt [in ordinals_Mlt]
Ordinals2.ordinals_set_normal1 [in ordinals_set_normal1]
Ordinals2.ordinals_col_p1 [in ordinals_col_p1]
Ordinals2.ordinals_col_p2 [in ordinals_col_p2]
Ordinals2.ordinals_non_coll1 [in ordinals_non_coll1]
Ordinals2.ordinals2_extc [in ordinals2_extc]
Ordinals2.ordinal_not_collectivizing [in ordinal_not_collectivizing]
Ordinals2.ord_induction_p0 [in ord_induction_p0]
Ordinals2.ord_induction_p1 [in ord_induction_p1]
Ordinals2.ord_induction_p2 [in ord_induction_p2]
Ordinals2.ord_induction_p3 [in ord_induction_p3]
Ordinals2.ord_induction_p4 [in ord_induction_p4]
Ordinals2.ord_induction_p5 [in ord_induction_p5]
Ordinals2.ord_induction_p6 [in ord_induction_p6]
Ordinals2.ord_induction_p7 [in ord_induction_p7]
Ordinals2.ord_induction_p8 [in ord_induction_p8]
Ordinals2.ord_induction_p9 [in ord_induction_p9]
Ordinals2.ord_induction_zv [in ord_induction_zv]
Ordinals2.ord_ext_div_unique [in ord_ext_div_unique]
Ordinals2.ord_induction_p21a [in ord_induction_p21a]
Ordinals2.ord_induction_p21b [in ord_induction_p21b]
Ordinals2.ord_induction_p21c [in ord_induction_p21c]
Ordinals2.ord_induction_p21d [in ord_induction_p21d]
Ordinals2.ord_induction_unique [in ord_induction_unique]
Ordinals2.ord_ext_div_exists [in ord_ext_div_exists]
Ordinals2.ord_induction_p01 [in ord_induction_p01]
Ordinals2.ord_induction_p10 [in ord_induction_p10]
Ordinals2.ord_induction_p11 [in ord_induction_p11]
Ordinals2.ord_induction_p12 [in ord_induction_p12]
Ordinals2.ord_induction_p13 [in ord_induction_p13]
Ordinals2.ord_induction_p14 [in ord_induction_p14]
Ordinals2.ord_induction_p15 [in ord_induction_p15]
Ordinals2.ord_induction_p16 [in ord_induction_p16]
Ordinals2.ord_induction_p17 [in ord_induction_p17]
Ordinals2.ord_induction_p18 [in ord_induction_p18]
Ordinals2.ord_induction_p19 [in ord_induction_p19]
Ordinals2.ord_induction_p41 [in ord_induction_p41]
Ordinals2.ord_pow_axioms [in ord_pow_axioms]
Ordinals2.ord_sincr_cont_prop [in ord_sincr_cont_prop]
Ordinals2.ord_rev_pred [in ord_rev_pred]
Ordinals2.ord_induction_exists [in ord_induction_exists]
Ordinals2.ord_sincr_cont_propu [in ord_sincr_cont_propu]
Ordinals2.ord_sincr_cont_propv [in ord_sincr_cont_propv]
Ordinals2.osi_gex1 [in osi_gex1]
Ordinals2.osi_gex [in osi_gex]
Ordinals2.osi_gexu [in osi_gexu]
Ordinals2.osum_normal [in osum_normal]
Ordinals2.osum_increasing5 [in osum_increasing5]
Ordinals2.osum_limit [in osum_limit]
Ordinals2.OS_omax [in OS_omax]
Ordinals2.OS_indecomposable [in OS_indecomposable]
Ordinals2.OS_all_der [in OS_all_der]
Ordinals2.OS_pow [in OS_pow]
Ordinals2.OS_ordinalr [in OS_ordinalr]
Ordinals2.rev_pred_prop [in rev_pred_prop]
Ordinals2.segmentrP [in segmentrP]
Ordinals2.sincr_ofs_exten [in sincr_ofs_exten]
Ordinals2.sincr_incr [in sincr_incr]
Ordinals2.succ_c_pow [in succ_c_pow]
Ordinals2.sup_critical2 [in sup_critical2]
Ordinals2.sup_critical3 [in sup_critical3]
Ordinals2.sup_critical [in sup_critical]
Ordinals2.unbounded_non_coll [in unbounded_non_coll]
Ordinals2.worder_rc_ord [in worder_rc_ord]
Ordinals2.worder_rc_op [in worder_rc_op]
Ordinals2.worder_rc_seg [in worder_rc_seg]
Ordinals3.cantor_of_limit [in cantor_of_limit]
Ordinals3.CNFbB_prop [in CNFbB_prop]
Ordinals3.cnfb_bound_p [in cnfb_bound_p]
Ordinals3.cnfb_ax_simp [in cnfb_ax_simp]
Ordinals3.CNFB_bound_p [in CNFB_bound_p]
Ordinals3.CNFb_ax_exten [in CNFb_ax_exten]
Ordinals3.CNFB_exists [in CNFB_exists]
Ordinals3.CNFb_change_nv [in CNFb_change_nv]
Ordinals3.CNFb_exists [in CNFb_exists]
Ordinals3.CNFB_ax_simp [in CNFB_ax_simp]
Ordinals3.CNFb_A [in CNFb_A]
Ordinals3.CNFb_m_ax [in CNFb_m_ax]
Ordinals3.cnfb_unique [in cnfb_unique]
Ordinals3.CNFb_Al [in CNFb_Al]
Ordinals3.CNFb_p5 [in CNFb_p5]
Ordinals3.CNFb_p8 [in CNFb_p8]
Ordinals3.CNFb_exten [in CNFb_exten]
Ordinals3.CNFb_r_ax [in CNFb_r_ax]
Ordinals3.CNFB_unique [in CNFB_unique]
Ordinals3.cnfb_exists [in cnfb_exists]
Ordinals3.CNFb_s_ax [in CNFb_s_ax]
Ordinals3.CNFb_unique [in CNFb_unique]
Ordinals3.CNFp_p2 [in CNFp_p2]
Ordinals3.CNFp_p3 [in CNFp_p3]
Ordinals3.CNFp_p4 [in CNFp_p4]
Ordinals3.CNFp_pg [in CNFp_pg]
Ordinals3.CNFp_ph [in CNFp_ph]
Ordinals3.CNFp_0 [in CNFp_0]
Ordinals3.CNFp_1 [in CNFp_1]
Ordinals3.CNFp_A [in CNFp_A]
Ordinals3.CNFp_r [in CNFp_r]
Ordinals3.CNFp_ax_ax1 [in CNFp_ax_ax1]
Ordinals3.CNFp_unique [in CNFp_unique]
Ordinals3.CNFp_exists [in CNFp_exists]
Ordinals3.CNFp_pr1 [in CNFp_pr1]
Ordinals3.CNFq_Al [in CNFq_Al]
Ordinals3.CNFq_extensionality1 [in CNFq_extensionality1]
Ordinals3.CNFq_p0 [in CNFq_p0]
Ordinals3.CNFq_p1 [in CNFq_p1]
Ordinals3.CNFq_p2 [in CNFq_p2]
Ordinals3.CNFq_p3 [in CNFq_p3]
Ordinals3.CNFq_p4 [in CNFq_p4]
Ordinals3.CNFq_p5 [in CNFq_p5]
Ordinals3.CNFq_p6 [in CNFq_p6]
Ordinals3.CNFq_p7 [in CNFq_p7]
Ordinals3.CNFq_pg [in CNFq_pg]
Ordinals3.CNFq_exponents_r [in CNFq_exponents_r]
Ordinals3.CNFq_extension_pr [in CNFq_extension_pr]
Ordinals3.CNFq_A [in CNFq_A]
Ordinals3.CNFq_r_ax [in CNFq_r_ax]
Ordinals3.CNFq_s_ax [in CNFq_s_ax]
Ordinals3.CNFq_zero [in CNFq_zero]
Ordinals3.CNFq_exten [in CNFq_exten]
Ordinals3.CNFq_axm_exp [in CNFq_axm_exp]
Ordinals3.CNFq_pg0 [in CNFq_pg0]
Ordinals3.CNFq_pg1 [in CNFq_pg1]
Ordinals3.CNFq_pg2 [in CNFq_pg2]
Ordinals3.CNFq_pg3 [in CNFq_pg3]
Ordinals3.CNFq_pg4 [in CNFq_pg4]
Ordinals3.CNFq_pg5 [in CNFq_pg5]
Ordinals3.CNFq_exists3 [in CNFq_exists3]
Ordinals3.CNFq_m_ax [in CNFq_m_ax]
Ordinals3.CNFq_extension2_pr [in CNFq_extension2_pr]
Ordinals3.CNFq_ax_exten [in CNFq_ax_exten]
Ordinals3.CNFq_extensionality [in CNFq_extensionality]
Ordinals3.CNFr_exists [in CNFr_exists]
Ordinals3.CNFr_ax_p1 [in CNFr_ax_p1]
Ordinals3.CNFr_ax_p2 [in CNFr_ax_p2]
Ordinals3.CNFr_ax_p3 [in CNFr_ax_p3]
Ordinals3.CNFr_p1 [in CNFr_p1]
Ordinals3.CNFr_p2 [in CNFr_p2]
Ordinals3.CNFr_p3 [in CNFr_p3]
Ordinals3.CNFr_p4 [in CNFr_p4]
Ordinals3.CNFr_p5 [in CNFr_p5]
Ordinals3.CNFr_p6 [in CNFr_p6]
Ordinals3.CNFr_unique [in CNFr_unique]
Ordinals3.CNFr_unique1 [in CNFr_unique1]
Ordinals3.CNF_sum_pr1 [in CNF_sum_pr1]
Ordinals3.CNF_sum_pr2 [in CNF_sum_pr2]
Ordinals3.CNF_sum_pr3 [in CNF_sum_pr3]
Ordinals3.CNF_exp_bnd [in CNF_exp_bnd]
Ordinals3.CNF_exp_add_expo [in CNF_exp_add_expo]
Ordinals3.CNF_M0le [in CNF_M0le]
Ordinals3.CNF_succ_pow1 [in CNF_succ_pow1]
Ordinals3.CNF_exponents_of [in CNF_exponents_of]
Ordinals3.CNF_pow_pr1 [in CNF_pow_pr1]
Ordinals3.CNF_pow_pr2 [in CNF_pow_pr2]
Ordinals3.CNF_pow_pr3 [in CNF_pow_pr3]
Ordinals3.CNF_pow_pr4 [in CNF_pow_pr4]
Ordinals3.CNF_pow_pr5 [in CNF_pow_pr5]
Ordinals3.CNF_sum_bounded1 [in CNF_sum_bounded1]
Ordinals3.CNF_exponents_sM [in CNF_exponents_sM]
Ordinals3.CNF_domain [in CNF_domain]
Ordinals3.CNF_exponentsP [in CNF_exponentsP]
Ordinals3.CNF_exponents_I [in CNF_exponents_I]
Ordinals3.CNF_exponents_M [in CNF_exponents_M]
Ordinals3.CNF_change_n_ax [in CNF_change_n_ax]
Ordinals3.CNF_limit [in CNF_limit]
Ordinals3.CNF_succ_pow [in CNF_succ_pow]
Ordinals3.CNF_singleton [in CNF_singleton]
Ordinals3.CNF_prod_pr2bis [in CNF_prod_pr2bis]
Ordinals3.CNF_prod_pr1 [in CNF_prod_pr1]
Ordinals3.CNF_prod_pr2 [in CNF_prod_pr2]
Ordinals3.CNF_prod_pr3 [in CNF_prod_pr3]
Ordinals3.CNF_prod_pr4 [in CNF_prod_pr4]
Ordinals3.CNF_prod_pr5 [in CNF_prod_pr5]
Ordinals3.CNF_prod_pr6 [in CNF_prod_pr6]
Ordinals3.CNF_sum_ax [in CNF_sum_ax]
Ordinals3.CNF_sup_coef_pr [in CNF_sup_coef_pr]
Ordinals3.CNF_exponents_card [in CNF_exponents_card]
Ordinals3.CNF_domain1 [in CNF_domain1]
Ordinals3.CNF_domain2 [in CNF_domain2]
Ordinals3.CNF_domainP [in CNF_domainP]
Ordinals3.CNF_exp_add_expo1 [in CNF_exp_add_expo1]
Ordinals3.CNF_exp_add_expos [in CNF_exp_add_expos]
Ordinals3.CNF_se_p [in CNF_se_p]
Ordinals3.CNF_exponents_exten [in CNF_exponents_exten]
Ordinals3.CNF_exponents_compare_expo [in CNF_exponents_compare_expo]
Ordinals3.CNF_limit0 [in CNF_limit0]
Ordinals3.CNF_limit1 [in CNF_limit1]
Ordinals3.CNF_limit2 [in CNF_limit2]
Ordinals3.CNF_limit3 [in CNF_limit3]
Ordinals3.natural_sum_p1 [in natural_sum_p1]
Ordinals3.natural_sum_p2 [in natural_sum_p2]
Ordinals3.natural_sum_p3 [in natural_sum_p3]
Ordinals3.opow_int_omega [in opow_int_omega]
Ordinals3.oprod_crit_aux [in oprod_crit_aux]
Ordinals3.oprod2_comm1 [in oprod2_comm1]
Ordinals3.oprod2_comm2 [in oprod2_comm2]
Ordinals3.oprod2_comm3 [in oprod2_comm3]
Ordinals3.oprod2_comm4 [in oprod2_comm4]
Ordinals3.oprod2_comm5 [in oprod2_comm5]
Ordinals3.oprod2_comm6 [in oprod2_comm6]
Ordinals3.oprod2_comm [in oprod2_comm]
Ordinals3.ord_natural_small [in ord_natural_small]
Ordinals3.ord_negl_lt [in ord_negl_lt]
Ordinals3.ord_negl_p1 [in ord_negl_p1]
Ordinals3.ord_negl_p2 [in ord_negl_p2]
Ordinals3.ord_negl_p3 [in ord_negl_p3]
Ordinals3.ord_negl_p4 [in ord_negl_p4]
Ordinals3.ord_negl_p5 [in ord_negl_p5]
Ordinals3.ord_negl_p6 [in ord_negl_p6]
Ordinals3.ord_negl_p7 [in ord_negl_p7]
Ordinals3.ord_negl_p8 [in ord_negl_p8]
Ordinals3.ord_negl_pg [in ord_negl_pg]
Ordinals3.ord_negl_sum1 [in ord_negl_sum1]
Ordinals3.ord_negl_sum2 [in ord_negl_sum2]
Ordinals3.ord_negl_sum3 [in ord_negl_sum3]
Ordinals3.ord_natural_M0le [in ord_natural_M0le]
Ordinals3.ord_neg_sum4 [in ord_neg_sum4]
Ordinals3.ord_negl_sum [in ord_negl_sum]
Ordinals3.ord_negl_prod [in ord_negl_prod]
Ordinals3.ord_natural_finite_cover [in ord_natural_finite_cover]
Ordinals3.ord_natural_sum0 [in ord_natural_sum0]
Ordinals3.ord_natural_sumC [in ord_natural_sumC]
Ordinals3.osum2_commutes [in osum2_commutes]
Ordinals3.OS_natural_sum [in OS_natural_sum]
Ordinals3.OS_CNFb [in OS_CNFb]
Ordinals3.OS_CNFp [in OS_CNFp]
Ordinals3.OS_CNFq [in OS_CNFq]
Ordinals3.OS_CNFp1r [in OS_CNFp1r]
Ordinals3.OS_CNFp0 [in OS_CNFp0]
Ordinals3.OS_CNFp1 [in OS_CNFp1]
Ordinals3.OS_CNFr0 [in OS_CNFr0]
Ordinals3.OS_the_CNF_degree [in OS_the_CNF_degree]
Ordinals3.OS_the_cnf_degree [in OS_the_cnf_degree]
Ordinals3.props_of_b [in props_of_b]
Ordinals3.succ_pow_omega_irred [in succ_pow_omega_irred]
Ordinals3.the_CNF_split [in the_CNF_split]
Ordinals3.the_CNF_p0 [in the_CNF_p0]
Ordinals3.the_CNF_p1 [in the_CNF_p1]
Ordinals3.the_CNF_p2 [in the_CNF_p2]
Ordinals3.the_CNF_p3 [in the_CNF_p3]
Ordinals3.the_CNF_p4 [in the_CNF_p4]
Ordinals3.the_CNF_p5 [in the_CNF_p5]
Ordinals3.the_CNF_p6 [in the_CNF_p6]
Ordinals3.the_CNF_degree_one [in the_CNF_degree_one]
Ordinals3.the_CNF_degree_omega [in the_CNF_degree_omega]
Ordinals3.the_cnf_p0 [in the_cnf_p0]
Ordinals3.the_cnf_p1 [in the_cnf_p1]
Ordinals3.the_cnf_p2 [in the_cnf_p2]
Ordinals3.the_cnf_p3 [in the_cnf_p3]
Ordinals4.aleph_lt_ltc [in aleph_lt_ltc]
Ordinals4.aleph_pr10a [in aleph_pr10a]
Ordinals4.aleph_pr10b [in aleph_pr10b]
Ordinals4.aleph_pr10c [in aleph_pr10c]
Ordinals4.aleph_lt_lto [in aleph_lt_lto]
Ordinals4.aleph_leo_le [in aleph_leo_le]
Ordinals4.aleph_pr12b [in aleph_pr12b]
Ordinals4.aleph_pr12c [in aleph_pr12c]
Ordinals4.aleph_pr12d [in aleph_pr12d]
Ordinals4.aleph_pr12e [in aleph_pr12e]
Ordinals4.aleph_succ_pr2 [in aleph_succ_pr2]
Ordinals4.aleph_succ_pr3 [in aleph_succ_pr3]
Ordinals4.aleph_nz1 [in aleph_nz1]
Ordinals4.aleph_le_lec [in aleph_le_lec]
Ordinals4.aleph_le_leo [in aleph_le_leo]
Ordinals4.aleph_pr1 [in aleph_pr1]
Ordinals4.aleph_pr5 [in aleph_pr5]
Ordinals4.aleph_pr6 [in aleph_pr6]
Ordinals4.aleph_succ_P1 [in aleph_succ_P1]
Ordinals4.aleph_eq [in aleph_eq]
Ordinals4.aleph_nz [in aleph_nz]
Ordinals4.aleph_ltc_lt [in aleph_ltc_lt]
Ordinals4.aleph_limit [in aleph_limit]
Ordinals4.aleph_pr11 [in aleph_pr11]
Ordinals4.aleph_lto_lt [in aleph_lto_lt]
Ordinals4.aleph_pr5c [in aleph_pr5c]
Ordinals4.aleph_lec_le [in aleph_lec_le]
Ordinals4.aleph_sum_pr1 [in aleph_sum_pr1]
Ordinals4.aleph_sum_pr2 [in aleph_sum_pr2]
Ordinals4.aleph_sum_pr3 [in aleph_sum_pr3]
Ordinals4.aleph_sum_pr4 [in aleph_sum_pr4]
Ordinals4.aleph_sum_pr5 [in aleph_sum_pr5]
Ordinals4.aleph_sum_pr6 [in aleph_sum_pr6]
Ordinals4.all_der_sum_aux [in all_der_sum_aux]
Ordinals4.all_der_prod [in all_der_prod]
Ordinals4.all_der_prod_aux [in all_der_prod_aux]
Ordinals4.all_der_pow_aux [in all_der_pow_aux]
Ordinals4.all_der_prod_cor [in all_der_prod_cor]
Ordinals4.all_der_sum [in all_der_sum]
Ordinals4.all_der_ident [in all_der_ident]
Ordinals4.Cantor_omega_pr2 [in Cantor_omega_pr2]
Ordinals4.Cantor_omega_pr3 [in Cantor_omega_pr3]
Ordinals4.Cantor_omega_pr [in Cantor_omega_pr]
Ordinals4.CNF_psi_lt_Gamma0 [in CNF_psi_lt_Gamma0]
Ordinals4.CNF_psi_exists_Gamma0 [in CNF_psi_exists_Gamma0]
Ordinals4.CNF_psi_p0 [in CNF_psi_p0]
Ordinals4.CNF_psi_p1 [in CNF_psi_p1]
Ordinals4.CNF_psi_exists [in CNF_psi_exists]
Ordinals4.CNF_psi_unique [in CNF_psi_unique]
Ordinals4.cofinality_prod [in cofinality_prod]
Ordinals4.cofinality_proj [in cofinality_proj]
Ordinals4.cofinality_small [in cofinality_small]
Ordinals4.cofinality_index_regular [in cofinality_index_regular]
Ordinals4.cofinality_c_pr2 [in cofinality_c_pr2]
Ordinals4.cofinality_c_pr3 [in cofinality_c_pr3]
Ordinals4.cofinality_pr1 [in cofinality_pr1]
Ordinals4.cofinality_pr2 [in cofinality_pr2]
Ordinals4.cofinality_pr3 [in cofinality_pr3]
Ordinals4.cofinality_pr4 [in cofinality_pr4]
Ordinals4.cofinality_pr5 [in cofinality_pr5]
Ordinals4.cofinality_pr8 [in cofinality_pr8]
Ordinals4.cofinality_reg [in cofinality_reg]
Ordinals4.cofinality_c_small [in cofinality_c_small]
Ordinals4.cofinality_infinite [in cofinality_infinite]
Ordinals4.cofinality_regular [in cofinality_regular]
Ordinals4.cofinality_c_finite [in cofinality_c_finite]
Ordinals4.cofinality_sum [in cofinality_sum]
Ordinals4.cofinality_infinite_cardinal [in cofinality_infinite_cardinal]
Ordinals4.cofinality_succ [in cofinality_succ]
Ordinals4.cofinality_least_fp_normal [in cofinality_least_fp_normal]
Ordinals4.cofinality_index [in cofinality_index]
Ordinals4.cofinality_limit1 [in cofinality_limit1]
Ordinals4.cofinality_limit2 [in cofinality_limit2]
Ordinals4.cofinality_limit3 [in cofinality_limit3]
Ordinals4.cofinality_limit4 [in cofinality_limit4]
Ordinals4.cofinality_c_rw [in cofinality_c_rw]
Ordinals4.cofinality_infinite_limit [in cofinality_infinite_limit]
Ordinals4.cofinality_least_fp_normal2 [in cofinality_least_fp_normal2]
Ordinals4.cofinality_least_fp_normal3 [in cofinality_least_fp_normal3]
Ordinals4.cofinality_n0 [in cofinality_n0]
Ordinals4.cofinality_sd [in cofinality_sd]
Ordinals4.cofinality_rw [in cofinality_rw]
Ordinals4.cofinality_prod_omega [in cofinality_prod_omega]
Ordinals4.cofinality_card [in cofinality_card]
Ordinals4.cofinality'_pr0 [in cofinality'_pr0]
Ordinals4.cofinality'_pr2 [in cofinality'_pr2]
Ordinals4.cofinality'_pr3 [in cofinality'_pr3]
Ordinals4.cofinality0 [in cofinality0]
Ordinals4.cofinality1 [in cofinality1]
Ordinals4.cofinal_function_pr2 [in cofinal_function_pr2]
Ordinals4.countable_epsilon [in countable_epsilon]
Ordinals4.countable_Gamma_0 [in countable_Gamma_0]
Ordinals4.critical_productP [in critical_productP]
Ordinals4.csum_of_small_b1 [in csum_of_small_b1]
Ordinals4.csum_of_small_b2 [in csum_of_small_b2]
Ordinals4.csum_of_small_b3 [in csum_of_small_b3]
Ordinals4.csum_of_small_b4 [in csum_of_small_b4]
Ordinals4.csum_of_small_b5 [in csum_of_small_b5]
Ordinals4.csum_commutative1 [in csum_commutative1]
Ordinals4.CS_cofinality_c [in CS_cofinality_c]
Ordinals4.CS_cofinality [in CS_cofinality]
Ordinals4.CS_aleph [in CS_aleph]
Ordinals4.epsilon_fam_pr2'' [in epsilon_fam_pr2'']
Ordinals4.epsilon_fct_pr0 [in epsilon_fct_pr0]
Ordinals4.epsilon_fct_pr1 [in epsilon_fct_pr1]
Ordinals4.epsilon_fct_pr2 [in epsilon_fct_pr2]
Ordinals4.epsilon_fct_pr3 [in epsilon_fct_pr3]
Ordinals4.epsilon_fam_pr2' [in epsilon_fam_pr2']
Ordinals4.epsilon_fam_pr0 [in epsilon_fam_pr0]
Ordinals4.epsilon_fam_pr1 [in epsilon_fam_pr1]
Ordinals4.epsilon_fam_pr2 [in epsilon_fam_pr2]
Ordinals4.epsilon_fam_pr3 [in epsilon_fam_pr3]
Ordinals4.epsilon_fam_pr4 [in epsilon_fam_pr4]
Ordinals4.epsilon_fam_pr5 [in epsilon_fam_pr5]
Ordinals4.epsilon_fam_pr6 [in epsilon_fam_pr6]
Ordinals4.epsilon_fam_pr7 [in epsilon_fam_pr7]
Ordinals4.Gamma0_limit [in Gamma0_limit]
Ordinals4.Gamma0_p [in Gamma0_p]
Ordinals4.Gamma0_s [in Gamma0_s]
Ordinals4.Gamma0_epsilon [in Gamma0_epsilon]
Ordinals4.Gamma0_s_psi [in Gamma0_s_psi]
Ordinals4.iclosed_non_coll_infinite_c [in iclosed_non_coll_infinite_c]
Ordinals4.inaccessible_pr1 [in inaccessible_pr1]
Ordinals4.increasing_sup_limit1 [in increasing_sup_limit1]
Ordinals4.increasing_sup_limit2 [in increasing_sup_limit2]
Ordinals4.increasing_sup_limit3 [in increasing_sup_limit3]
Ordinals4.increasing_sup_limit4 [in increasing_sup_limit4]
Ordinals4.infinite_regularP [in infinite_regularP]
Ordinals4.inverse_epsilon_pr [in inverse_epsilon_pr]
Ordinals4.inv_psi_omega_p [in inv_psi_omega_p]
Ordinals4.least_critical_pow [in least_critical_pow]
Ordinals4.maximal_criticalP [in maximal_criticalP]
Ordinals4.maximal_critical_p1 [in maximal_critical_p1]
Ordinals4.normal_function_fixpoints [in normal_function_fixpoints]
Ordinals4.ofg_Mle_leo_p1 [in ofg_Mle_leo_p1]
Ordinals4.ofg_Mle_leo_os [in ofg_Mle_leo_os]
Ordinals4.ofg_Mlt_lto_p1 [in ofg_Mlt_lto_p1]
Ordinals4.ofg_Mlt_lto_p2 [in ofg_Mlt_lto_p2]
Ordinals4.ofg_Mlt_lto_p3 [in ofg_Mlt_lto_p3]
Ordinals4.ologp [in ologp]
Ordinals4.ologp_psi [in ologp_psi]
Ordinals4.ordinals_card_ltP [in ordinals_card_ltP]
Ordinals4.ord_index_pr1 [in ord_index_pr1]
Ordinals4.ord_eps_p1 [in ord_eps_p1]
Ordinals4.ord_eps_p2 [in ord_eps_p2]
Ordinals4.ord_eps_p3 [in ord_eps_p3]
Ordinals4.ord_eps_p4 [in ord_eps_p4]
Ordinals4.ord_epsilon_p10 [in ord_epsilon_p10]
Ordinals4.ord_epsilon_p11 [in ord_epsilon_p11]
Ordinals4.ord_epsilon_p12 [in ord_epsilon_p12]
Ordinals4.ord_epsilon_p13 [in ord_epsilon_p13]
Ordinals4.ord_epsilon_p9 [in ord_epsilon_p9]
Ordinals4.ord_index_pr [in ord_index_pr]
Ordinals4.OS_Schutte_zeta [in OS_Schutte_zeta]
Ordinals4.OS_aleph [in OS_aleph]
Ordinals4.OS_Schutte_phi [in OS_Schutte_phi]
Ordinals4.OS_Schutte_psi [in OS_Schutte_psi]
Ordinals4.OS_cofinality [in OS_cofinality]
Ordinals4.pow_fix_enumeration1 [in pow_fix_enumeration1]
Ordinals4.pow_fix_enumeration2 [in pow_fix_enumeration2]
Ordinals4.regular_is_cardinal [in regular_is_cardinal]
Ordinals4.regular_initial_limit0 [in regular_initial_limit0]
Ordinals4.regular_initial_limit1 [in regular_initial_limit1]
Ordinals4.regular_initial_limit2 [in regular_initial_limit2]
Ordinals4.regular_initial_limit3 [in regular_initial_limit3]
Ordinals4.regular_initial_limit4 [in regular_initial_limit4]
Ordinals4.regular_initial_limit5 [in regular_initial_limit5]
Ordinals4.regular_cardinal_omega [in regular_cardinal_omega]
Ordinals4.regular_omega [in regular_omega]
Ordinals4.regular_cardinalP [in regular_cardinalP]
Ordinals4.regular_indecomposable [in regular_indecomposable]
Ordinals4.regular_initial_successor [in regular_initial_successor]
Ordinals4.regular_cofinal_si_unique [in regular_cofinal_si_unique]
Ordinals4.regular_finite [in regular_finite]
Ordinals4.regular_0 [in regular_0]
Ordinals4.regular_1 [in regular_1]
Ordinals4.regular_indecomposable1 [in regular_indecomposable1]
Ordinals4.Schutte_Cr_p1 [in Schutte_Cr_p1]
Ordinals4.Schutte_Cr_p2 [in Schutte_Cr_p2]
Ordinals4.Schutte_Cr_p3 [in Schutte_Cr_p3]
Ordinals4.Schutte_Cr_p4 [in Schutte_Cr_p4]
Ordinals4.Schutte_Cr_p5 [in Schutte_Cr_p5]
Ordinals4.Schutte_Cr_p6 [in Schutte_Cr_p6]
Ordinals4.Schutte_Cr_p7 [in Schutte_Cr_p7]
Ordinals4.Schutte_Cr_p8 [in Schutte_Cr_p8]
Ordinals4.Schutte_Cr_p9 [in Schutte_Cr_p9]
Ordinals4.Schutte_psi_p1' [in Schutte_psi_p1']
Ordinals4.Schutte_psi_p10 [in Schutte_psi_p10]
Ordinals4.Schutte_psi_p11 [in Schutte_psi_p11]
Ordinals4.Schutte_psi_p12 [in Schutte_psi_p12]
Ordinals4.Schutte_psi_p2' [in Schutte_psi_p2']
Ordinals4.Schutte_phi_p0 [in Schutte_phi_p0]
Ordinals4.Schutte_phi_p1 [in Schutte_phi_p1]
Ordinals4.Schutte_phi_p2 [in Schutte_phi_p2]
Ordinals4.Schutte_phi_p3 [in Schutte_phi_p3]
Ordinals4.Schutte_phi_p4 [in Schutte_phi_p4]
Ordinals4.Schutte_phi_p5 [in Schutte_phi_p5]
Ordinals4.Schutte_phi_p6 [in Schutte_phi_p6]
Ordinals4.Schutte_phi_p7 [in Schutte_phi_p7]
Ordinals4.Schutte_phi_p8 [in Schutte_phi_p8]
Ordinals4.Schutte_phi_p9 [in Schutte_phi_p9]
Ordinals4.Schutte_14_16' [in Schutte_14_16']
Ordinals4.Schutte_phi_bounded [in Schutte_phi_bounded]
Ordinals4.Schutte_zeta_0 [in Schutte_zeta_0]
Ordinals4.Schutte_zeta_1 [in Schutte_zeta_1]
Ordinals4.Schutte_zeta_2 [in Schutte_zeta_2]
Ordinals4.Schutte_zeta_3 [in Schutte_zeta_3]
Ordinals4.Schutte_zeta_4 [in Schutte_zeta_4]
Ordinals4.Schutte_zeta_5 [in Schutte_zeta_5]
Ordinals4.Schutte_zeta_6 [in Schutte_zeta_6]
Ordinals4.Schutte_phi_p10a [in Schutte_phi_p10a]
Ordinals4.Schutte_phi_p10b [in Schutte_phi_p10b]
Ordinals4.Schutte_psi_limit [in Schutte_psi_limit]
Ordinals4.Schutte_phi_countable [in Schutte_phi_countable]
Ordinals4.Schutte_Cr_p8' [in Schutte_Cr_p8']
Ordinals4.Schutte_14_16 [in Schutte_14_16]
Ordinals4.Schutte_psi_p0 [in Schutte_psi_p0]
Ordinals4.Schutte_psi_p1 [in Schutte_psi_p1]
Ordinals4.Schutte_psi_p2 [in Schutte_psi_p2]
Ordinals4.Schutte_psi_p3 [in Schutte_psi_p3]
Ordinals4.Schutte_psi_p4 [in Schutte_psi_p4]
Ordinals4.Schutte_psi_p5 [in Schutte_psi_p5]
Ordinals4.Schutte_psi_p6 [in Schutte_psi_p6]
Ordinals4.Schutte_psi_p7 [in Schutte_psi_p7]
Ordinals4.Schutte_psi_p8 [in Schutte_psi_p8]
Ordinals4.Schutte_psi_p9 [in Schutte_psi_p9]
Ordinals4.singular_limit [in singular_limit]
Ordinals4.strong_critical_closed_noncol [in strong_critical_closed_noncol]
Ordinals4.strong_criticalP [in strong_criticalP]
Ordinals4.succ_c_pr [in succ_c_pr]
Ordinals5.beth_M [in beth_M]
Ordinals5.beth_pr0 [in beth_pr0]
Ordinals5.beth_pr1 [in beth_pr1]
Ordinals5.beth_fixed_point [in beth_fixed_point]
Ordinals5.beth_prop [in beth_prop]
Ordinals5.beth_normal [in beth_normal]
Ordinals5.beth_gch [in beth_gch]
Ordinals5.beth_succ [in beth_succ]
Ordinals5.cardinal_indecomposable2 [in cardinal_indecomposable2]
Ordinals5.card_ge2_nz [in card_ge2_nz]
Ordinals5.card_dominant_pr10 [in card_dominant_pr10]
Ordinals5.card_dominant_pr11 [in card_dominant_pr11]
Ordinals5.card_dominant_pr1 [in card_dominant_pr1]
Ordinals5.card_dominant_pr2 [in card_dominant_pr2]
Ordinals5.card_dominant_pr3 [in card_dominant_pr3]
Ordinals5.card_dominant_pr4 [in card_dominant_pr4]
Ordinals5.card_dominant_pr5 [in card_dominant_pr5]
Ordinals5.card_dominant_pr7 [in card_dominant_pr7]
Ordinals5.card_dominant_pr8 [in card_dominant_pr8]
Ordinals5.card_dominant_pr9 [in card_dominant_pr9]
Ordinals5.cofinality_least_fp_beth [in cofinality_least_fp_beth]
Ordinals5.cofinality_sum1 [in cofinality_sum1]
Ordinals5.cofinality_sum2 [in cofinality_sum2]
Ordinals5.compare_sum_prod [in compare_sum_prod]
Ordinals5.compare_sum_prod1 [in compare_sum_prod1]
Ordinals5.compare_sum_prod2 [in compare_sum_prod2]
Ordinals5.compare_sum_prod3 [in compare_sum_prod3]
Ordinals5.compare_sum_prod5 [in compare_sum_prod5]
Ordinals5.cpow_less_ec_pr0 [in cpow_less_ec_pr0]
Ordinals5.cpow_less_ec_pr1 [in cpow_less_ec_pr1]
Ordinals5.cpow_less_ec_pr2 [in cpow_less_ec_pr2]
Ordinals5.cpow_less_ec_pr3 [in cpow_less_ec_pr3]
Ordinals5.cpow_less_ec_pr4 [in cpow_less_ec_pr4]
Ordinals5.cpow_less_ec_pr5 [in cpow_less_ec_pr5]
Ordinals5.cpow_less_ec_pr6 [in cpow_less_ec_pr6]
Ordinals5.cpow_less_ec_pr7 [in cpow_less_ec_pr7]
Ordinals5.cpow_less_ec_pr8 [in cpow_less_ec_pr8]
Ordinals5.cpow_less_pr11a [in cpow_less_pr11a]
Ordinals5.cpow_less_pr11b [in cpow_less_pr11b]
Ordinals5.cpow_less_compare [in cpow_less_compare]
Ordinals5.cpow_less_pr0 [in cpow_less_pr0]
Ordinals5.cpow_less_pr1 [in cpow_less_pr1]
Ordinals5.cpow_less_pr2 [in cpow_less_pr2]
Ordinals5.cpow_less_pr3 [in cpow_less_pr3]
Ordinals5.cpow_less_pr4 [in cpow_less_pr4]
Ordinals5.cpow_less_pr6 [in cpow_less_pr6]
Ordinals5.cpow_less_pr8 [in cpow_less_pr8]
Ordinals5.cpow_less_pr9 [in cpow_less_pr9]
Ordinals5.cpow_less_pr10 [in cpow_less_pr10]
Ordinals5.cpow_less_pr12 [in cpow_less_pr12]
Ordinals5.cpow_less_pr5a [in cpow_less_pr5a]
Ordinals5.cpow_less_pr5b [in cpow_less_pr5b]
Ordinals5.cpow_less_pr5c [in cpow_less_pr5c]
Ordinals5.cpow_less_pr5d [in cpow_less_pr5d]
Ordinals5.cpow_less_pr5e [in cpow_less_pr5e]
Ordinals5.cpow_less_pr5f [in cpow_less_pr5f]
Ordinals5.cpow_less_pr6a [in cpow_less_pr6a]
Ordinals5.cpow_less_pr7a [in cpow_less_pr7a]
Ordinals5.cpow_less_pr7b [in cpow_less_pr7b]
Ordinals5.cpow_less_alt [in cpow_less_alt]
Ordinals5.cprod_An1 [in cprod_An1]
Ordinals5.cprod_inf_eq [in cprod_inf_eq]
Ordinals5.CS_cpow_less [in CS_cpow_less]
Ordinals5.CS_beth [in CS_beth]
Ordinals5.dominant_limit [in dominant_limit]
Ordinals5.exists_ordering [in exists_ordering]
Ordinals5.genconthypothesis_alt [in genconthypothesis_alt]
Ordinals5.gimel_prop1 [in gimel_prop1]
Ordinals5.gimel_prop2 [in gimel_prop2]
Ordinals5.gimel_prop3 [in gimel_prop3]
Ordinals5.gimel_prop [in gimel_prop]
Ordinals5.inaccessible_pr8_gch [in inaccessible_pr8_gch]
Ordinals5.inaccessible_dominant1 [in inaccessible_dominant1]
Ordinals5.inaccessible_dominant2 [in inaccessible_dominant2]
Ordinals5.inaccessible_dominant3 [in inaccessible_dominant3]
Ordinals5.inaccessible_pr2 [in inaccessible_pr2]
Ordinals5.inaccessible_pr3 [in inaccessible_pr3]
Ordinals5.inaccessible_pr4 [in inaccessible_pr4]
Ordinals5.inaccessible_pr5 [in inaccessible_pr5]
Ordinals5.inaccessible_pr6 [in inaccessible_pr6]
Ordinals5.inaccessible_pr7 [in inaccessible_pr7]
Ordinals5.inaccessible_pr8 [in inaccessible_pr8]
Ordinals5.inaccessible_dominant [in inaccessible_dominant]
Ordinals5.inaccessible_weak_strong [in inaccessible_weak_strong]
Ordinals5.infinite_increasing_power1 [in infinite_increasing_power1]
Ordinals5.infinite_increasing_power2 [in infinite_increasing_power2]
Ordinals5.infinite_increasing_power4 [in infinite_increasing_power4]
Ordinals5.infinite_increasing_power5 [in infinite_increasing_power5]
Ordinals5.infinite_increasing_power_bound1 [in infinite_increasing_power_bound1]
Ordinals5.infinite_power1_a [in infinite_power1_a]
Ordinals5.infinite_power1_b [in infinite_power1_b]
Ordinals5.infinite_power1_c [in infinite_power1_c]
Ordinals5.infinite_increasing_power [in infinite_increasing_power]
Ordinals5.infinite_power10 [in infinite_power10]
Ordinals5.infinite_power10_a [in infinite_power10_a]
Ordinals5.infinite_power10_b [in infinite_power10_b]
Ordinals5.infinite_power7b [in infinite_power7b]
Ordinals5.infinite_power7c [in infinite_power7c]
Ordinals5.infinite_power6w [in infinite_power6w]
Ordinals5.infinite_power7d [in infinite_power7d]
Ordinals5.infinite_power7e [in infinite_power7e]
Ordinals5.infinite_power7f [in infinite_power7f]
Ordinals5.infinite_power7g [in infinite_power7g]
Ordinals5.infinite_power7h [in infinite_power7h]
Ordinals5.infinite_power6_5a [in infinite_power6_5a]
Ordinals5.infinite_power6_7a [in infinite_power6_7a]
Ordinals5.infinite_power6_7b [in infinite_power6_7b]
Ordinals5.infinite_power6_7c [in infinite_power6_7c]
Ordinals5.infinite_power6_7d [in infinite_power6_7d]
Ordinals5.infinite_power6_7e [in infinite_power6_7e]
Ordinals5.infinite_power6_7f [in infinite_power6_7f]
Ordinals5.infinite_increasing_power5gch [in infinite_increasing_power5gch]
Ordinals5.infinite_power6_0 [in infinite_power6_0]
Ordinals5.infinite_power6_1 [in infinite_power6_1]
Ordinals5.infinite_power6_2 [in infinite_power6_2]
Ordinals5.infinite_power6_3 [in infinite_power6_3]
Ordinals5.infinite_power6_4 [in infinite_power6_4]
Ordinals5.infinite_power6_5 [in infinite_power6_5]
Ordinals5.infinite_power6_6 [in infinite_power6_6]
Ordinals5.infinite_prod3 [in infinite_prod3]
Ordinals5.infinite_prod4 [in infinite_prod4]
Ordinals5.infinite_prod5 [in infinite_prod5]
Ordinals5.infinite_prod6 [in infinite_prod6]
Ordinals5.infinite_power7f1 [in infinite_power7f1]
Ordinals5.infinite_prod_o1 [in infinite_prod_o1]
Ordinals5.infinite_prod_pA [in infinite_prod_pA]
Ordinals5.infinite_prod_pB [in infinite_prod_pB]
Ordinals5.infinite_prod_pC [in infinite_prod_pC]
Ordinals5.infinite_prod_pD [in infinite_prod_pD]
Ordinals5.infinite_prod_pE [in infinite_prod_pE]
Ordinals5.infinite_prod_pF [in infinite_prod_pF]
Ordinals5.infinite_prod_pG [in infinite_prod_pG]
Ordinals5.infinite_prod_pH [in infinite_prod_pH]
Ordinals5.infinite_prod_pI [in infinite_prod_pI]
Ordinals5.infinite_power1 [in infinite_power1]
Ordinals5.infinite_power2 [in infinite_power2]
Ordinals5.infinite_power3 [in infinite_power3]
Ordinals5.infinite_power4 [in infinite_power4]
Ordinals5.infinite_power5 [in infinite_power5]
Ordinals5.infinite_power6 [in infinite_power6]
Ordinals5.infinite_power7 [in infinite_power7]
Ordinals5.infinite_power8 [in infinite_power8]
Ordinals5.infinite_power9 [in infinite_power9]
Ordinals5.infinite_prod_pB1 [in infinite_prod_pB1]
Ordinals5.infinite_prod_pB2 [in infinite_prod_pB2]
Ordinals5.infinite_power2_bis [in infinite_power2_bis]
Ordinals5.infinite_power7h_rev [in infinite_power7h_rev]
Ordinals5.next_dominant_pr [in next_dominant_pr]
Ordinals5.ord_sup_aleph_sum [in ord_sup_aleph_sum]
Ordinals5.ord_sup_aleph [in ord_sup_aleph]
Ordinals5.power_cofinality [in power_cofinality]
Ordinals5.power_cofinality1 [in power_cofinality1]
Ordinals5.power_cofinality2 [in power_cofinality2]
Ordinals5.power_cofinality3 [in power_cofinality3]
Ordinals5.power_cofinality4 [in power_cofinality4]
Ordinals5.power_cofinality5 [in power_cofinality5]
Ordinals5.SCH_case1 [in SCH_case1]
Ordinals5.SCH_prop2 [in SCH_prop2]
Ordinals5.SCH_prop3 [in SCH_prop3]
Ordinals5.sch_gch [in sch_gch]
Ordinals5.singular_non_collectivizing [in singular_non_collectivizing]
Ordinals5.the_nondominant_least_pr1 [in the_nondominant_least_pr1]
Ordinals5.the_nondominant_least_pr2 [in the_nondominant_least_pr2]
P
Pair.pair_is_pair [in pair_is_pair]Pair.pair_exten [in pair_exten]
Pair.Pair.kprE [in kprE]
Pair.Pair.kpr1E [in kpr1E]
Pair.Pair.kpr2E [in kpr2E]
Pair.pr1_def [in pr1_def]
Pair.pr1_pair [in pr1_pair]
Pair.pr2_pair [in pr2_pair]
Pair.pr2_def [in pr2_def]
partition_ni_set0 [in partition_ni_set0]
partition_set0 [in partition_set0]
pascal11 [in pascal11]
Powerset.setP_00 [in setP_00]
Powerset.setP_0i [in setP_0i]
Powerset.setP_Ti [in setP_Ti]
Powerset.setP_hi [in setP_hi]
Powerset.setP_0 [in setP_0]
Powerset.setP_1 [in setP_1]
Powerset.setP_P [in setP_P]
Powerset.setP_S [in setP_S]
Powerset.setP_i [in setP_i]
power_monom [in power_monom]
P_well_founded_induction_type [in P_well_founded_induction_type]
R
RationalIntegers.BZabs_opp [in BZabs_opp]RationalIntegers.BZabs_0 [in BZabs_0]
RationalIntegers.BZabs_1 [in BZabs_1]
RationalIntegers.BZabs_pr1 [in BZabs_pr1]
RationalIntegers.BZabs_pr2 [in BZabs_pr2]
RationalIntegers.BZabs_pos [in BZabs_pos]
RationalIntegers.BZabs_sign [in BZabs_sign]
RationalIntegers.BZabs_abs [in BZabs_abs]
RationalIntegers.BZabs_0p [in BZabs_0p]
RationalIntegers.BZabs_positive [in BZabs_positive]
RationalIntegers.BZabs_iN [in BZabs_iN]
RationalIntegers.BZabs_m1 [in BZabs_m1]
RationalIntegers.BZabs_neg [in BZabs_neg]
RationalIntegers.BZdiff_sum_simpl_l [in BZdiff_sum_simpl_l]
RationalIntegers.BZdiff_sum_simpl_r [in BZdiff_sum_simpl_r]
RationalIntegers.BZdiff_succ_l [in BZdiff_succ_l]
RationalIntegers.BZdiff_diag [in BZdiff_diag]
RationalIntegers.BZdiff_sum_comm [in BZdiff_sum_comm]
RationalIntegers.BZdiff_sum [in BZdiff_sum]
RationalIntegers.BZdiff_diag_rw [in BZdiff_diag_rw]
RationalIntegers.BZdiff_0l [in BZdiff_0l]
RationalIntegers.BZdiff_0r [in BZdiff_0r]
RationalIntegers.BZdivision_opp_a2 [in BZdivision_opp_a2]
RationalIntegers.BZdvdordering_gle [in BZdvdordering_gle]
RationalIntegers.BZdvdordering_or [in BZdvdordering_or]
RationalIntegers.BZdvdordering_sr [in BZdvdordering_sr]
RationalIntegers.BZdvds_trans [in BZdvds_trans]
RationalIntegers.BZdvds_mone [in BZdvds_mone]
RationalIntegers.BZdvds_monotone [in BZdvds_monotone]
RationalIntegers.BZdvds_opp1 [in BZdvds_opp1]
RationalIntegers.BZdvds_opp2 [in BZdvds_opp2]
RationalIntegers.BZdvds_pr1' [in BZdvds_pr1']
RationalIntegers.BZdvds_pr6' [in BZdvds_pr6']
RationalIntegers.BZdvds_pr [in BZdvds_pr]
RationalIntegers.BZdvds_one [in BZdvds_one]
RationalIntegers.BZdvds_prod [in BZdvds_prod]
RationalIntegers.BZdvds_pr0 [in BZdvds_pr0]
RationalIntegers.BZdvds_pr1 [in BZdvds_pr1]
RationalIntegers.BZdvds_pr3 [in BZdvds_pr3]
RationalIntegers.BZdvds_pr4 [in BZdvds_pr4]
RationalIntegers.BZdvds_pr5 [in BZdvds_pr5]
RationalIntegers.BZdvds_pr6 [in BZdvds_pr6]
RationalIntegers.BZdvds_trans1 [in BZdvds_trans1]
RationalIntegers.BZdvds_trans2 [in BZdvds_trans2]
RationalIntegers.BZdvd_zero1 [in BZdvd_zero1]
RationalIntegers.BZdvd_inf [in BZdvd_inf]
RationalIntegers.BZdvd_correct [in BZdvd_correct]
RationalIntegers.BZdvd_exact [in BZdvd_exact]
RationalIntegers.BZdvd_itself [in BZdvd_itself]
RationalIntegers.BZdvd_opp [in BZdvd_opp]
RationalIntegers.BZdvd_lattice [in BZdvd_lattice]
RationalIntegers.BZdvd_pr2 [in BZdvd_pr2]
RationalIntegers.BZdvd_and_diff [in BZdvd_and_diff]
RationalIntegers.BZdvd_unique1 [in BZdvd_unique1]
RationalIntegers.BZdvd_and_sum [in BZdvd_and_sum]
RationalIntegers.BZdvd_sup [in BZdvd_sup]
RationalIntegers.BZdvd_unique [in BZdvd_unique]
RationalIntegers.BZdvd_lattice_aux [in BZdvd_lattice_aux]
RationalIntegers.BZgcd_rem [in BZgcd_rem]
RationalIntegers.BZgcd_div [in BZgcd_div]
RationalIntegers.BZgcd_zero [in BZgcd_zero]
RationalIntegers.BZgcd_id [in BZgcd_id]
RationalIntegers.BZgcd_nz [in BZgcd_nz]
RationalIntegers.BZgcd_diff [in BZgcd_diff]
RationalIntegers.BZgcd_prodD [in BZgcd_prodD]
RationalIntegers.BZgcd_prop1 [in BZgcd_prop1]
RationalIntegers.BZgcd_prop2 [in BZgcd_prop2]
RationalIntegers.BZgcd_prop3 [in BZgcd_prop3]
RationalIntegers.BZgcd_simp [in BZgcd_simp]
RationalIntegers.BZgcd_nz1 [in BZgcd_nz1]
RationalIntegers.BZgcd_A [in BZgcd_A]
RationalIntegers.BZgcd_C [in BZgcd_C]
RationalIntegers.BZgcd_opp [in BZgcd_opp]
RationalIntegers.BZlcm_zero [in BZlcm_zero]
RationalIntegers.BZlcm_nonzero [in BZlcm_nonzero]
RationalIntegers.BZlcm_prop1 [in BZlcm_prop1]
RationalIntegers.BZlcm_prop2 [in BZlcm_prop2]
RationalIntegers.BZmsS_sum_rl [in BZmsS_sum_rl]
RationalIntegers.BZmsS_sum_l [in BZmsS_sum_l]
RationalIntegers.BZmsS_sum_r [in BZmsS_sum_r]
RationalIntegers.BZmsS_m1 [in BZmsS_m1]
RationalIntegers.BZmsuS_prod [in BZmsuS_prod]
RationalIntegers.BZms_hi_pr [in BZms_hi_pr]
RationalIntegers.BZms_pr2 [in BZms_pr2]
RationalIntegers.BZms_i [in BZms_i]
RationalIntegers.BZmS_sum [in BZmS_sum]
RationalIntegers.BZms_iP [in BZms_iP]
RationalIntegers.BZms_nz [in BZms_nz]
RationalIntegers.BZmS0 [in BZmS0]
RationalIntegers.BZmuS_prod [in BZmuS_prod]
RationalIntegers.BZm_of_nat_pr1 [in BZm_of_nat_pr1]
RationalIntegers.BZm_hi_pr [in BZm_hi_pr]
RationalIntegers.BZm_of_nat_i [in BZm_of_nat_i]
RationalIntegers.BZm_of_natm_i [in BZm_of_natm_i]
RationalIntegers.BZm_of_natms_i [in BZm_of_natms_i]
RationalIntegers.BZm_of_nat_inj_bis [in BZm_of_nat_inj_bis]
RationalIntegers.BZm_of_nat_inj [in BZm_of_nat_inj]
RationalIntegers.BZnon_zero_opp [in BZnon_zero_opp]
RationalIntegers.BZopp_diff [in BZopp_diff]
RationalIntegers.BZopp_inj [in BZopp_inj]
RationalIntegers.BZopp_0 [in BZopp_0]
RationalIntegers.BZopp_1 [in BZopp_1]
RationalIntegers.BZopp_K [in BZopp_K]
RationalIntegers.BZopp_m [in BZopp_m]
RationalIntegers.BZopp_p [in BZopp_p]
RationalIntegers.BZopp_fb [in BZopp_fb]
RationalIntegers.BZopp_m1 [in BZopp_m1]
RationalIntegers.BZopp_pr1 [in BZopp_pr1]
RationalIntegers.BZopp_pr2 [in BZopp_pr2]
RationalIntegers.BZopp_prod_l [in BZopp_prod_l]
RationalIntegers.BZopp_prod_r [in BZopp_prod_r]
RationalIntegers.BZopp_negative1 [in BZopp_negative1]
RationalIntegers.BZopp_negative2 [in BZopp_negative2]
RationalIntegers.BZopp_positive1 [in BZopp_positive1]
RationalIntegers.BZopp_positive2 [in BZopp_positive2]
RationalIntegers.BZor_or [in BZor_or]
RationalIntegers.BZor_sr [in BZor_sr]
RationalIntegers.BZor_tor [in BZor_tor]
RationalIntegers.BZpmsS_prod [in BZpmsS_prod]
RationalIntegers.BZpmS_prod [in BZpmS_prod]
RationalIntegers.BZprec_N [in BZprec_N]
RationalIntegers.BZpred_sum [in BZpred_sum]
RationalIntegers.BZpred_succ [in BZpred_succ]
RationalIntegers.BZprodA [in BZprodA]
RationalIntegers.BZprodC [in BZprodC]
RationalIntegers.BZprodt_succ_l [in BZprodt_succ_l]
RationalIntegers.BZprod_Mltltle0 [in BZprod_Mltltle0]
RationalIntegers.BZprod_Mltgt0 [in BZprod_Mltgt0]
RationalIntegers.BZprod_Mltpp [in BZprod_Mltpp]
RationalIntegers.BZprod_sumDl [in BZprod_sumDl]
RationalIntegers.BZprod_sumDr [in BZprod_sumDr]
RationalIntegers.BZprod_m1l [in BZprod_m1l]
RationalIntegers.BZprod_m1r [in BZprod_m1r]
RationalIntegers.BZprod_1_inversion_more [in BZprod_1_inversion_more]
RationalIntegers.BZprod_Mlepp [in BZprod_Mlepp]
RationalIntegers.BZprod_opp_opp [in BZprod_opp_opp]
RationalIntegers.BZprod_Mltlt0 [in BZprod_Mltlt0]
RationalIntegers.BZprod_opp_comm [in BZprod_opp_comm]
RationalIntegers.BZprod_0l [in BZprod_0l]
RationalIntegers.BZprod_0r [in BZprod_0r]
RationalIntegers.BZprod_1l [in BZprod_1l]
RationalIntegers.BZprod_Mpp [in BZprod_Mpp]
RationalIntegers.BZprod_1r [in BZprod_1r]
RationalIntegers.BZprod_pr1 [in BZprod_pr1]
RationalIntegers.BZprod_succ_r [in BZprod_succ_r]
RationalIntegers.BZprod_reg_l [in BZprod_reg_l]
RationalIntegers.BZprod_reg_r [in BZprod_reg_r]
RationalIntegers.BZprod_permute_2_in_4 [in BZprod_permute_2_in_4]
RationalIntegers.BZprod_abs [in BZprod_abs]
RationalIntegers.BZprod_abs2 [in BZprod_abs2]
RationalIntegers.BZprod_Mlege0 [in BZprod_Mlege0]
RationalIntegers.BZprod_Mlelege0 [in BZprod_Mlelege0]
RationalIntegers.BZprod_aux [in BZprod_aux]
RationalIntegers.BZprod_1_inversion_l [in BZprod_1_inversion_l]
RationalIntegers.BZprod_sign [in BZprod_sign]
RationalIntegers.BZprod_mm [in BZprod_mm]
RationalIntegers.BZprod_mp [in BZprod_mp]
RationalIntegers.BZprod_Mlegt0 [in BZprod_Mlegt0]
RationalIntegers.BZprod_nz [in BZprod_nz]
RationalIntegers.BZprod_pm [in BZprod_pm]
RationalIntegers.BZprod_pp [in BZprod_pp]
RationalIntegers.BZprod_Mltltgt0 [in BZprod_Mltltgt0]
RationalIntegers.BZprod_Mlele0 [in BZprod_Mlele0]
RationalIntegers.BZprod_diff_Dl [in BZprod_diff_Dl]
RationalIntegers.BZprod_diff_Dr [in BZprod_diff_Dr]
RationalIntegers.BZprod_Mltgt00 [in BZprod_Mltgt00]
RationalIntegers.BZpsS_sum_l [in BZpsS_sum_l]
RationalIntegers.BZpsS_sum_r [in BZpsS_sum_r]
RationalIntegers.BZpsS_sum_rl [in BZpsS_sum_rl]
RationalIntegers.BZpsS_gcd [in BZpsS_gcd]
RationalIntegers.BZpsS_prod [in BZpsS_prod]
RationalIntegers.BZpsS_lcm [in BZpsS_lcm]
RationalIntegers.BZps_pr2 [in BZps_pr2]
RationalIntegers.BZpS_quo [in BZpS_quo]
RationalIntegers.BZpS_rem [in BZpS_rem]
RationalIntegers.BZpS_sum [in BZpS_sum]
RationalIntegers.BZps_iP [in BZps_iP]
RationalIntegers.BZps_nz [in BZps_nz]
RationalIntegers.BZpS_prod [in BZpS_prod]
RationalIntegers.BZpS_gcd [in BZpS_gcd]
RationalIntegers.BZps_pr1nz [in BZps_pr1nz]
RationalIntegers.BZps_stable_prod1 [in BZps_stable_prod1]
RationalIntegers.BZpS0 [in BZpS0]
RationalIntegers.BZps1 [in BZps1]
RationalIntegers.BZp_pr2 [in BZp_pr2]
RationalIntegers.BZp_i [in BZp_i]
RationalIntegers.BZp_hi_pr [in BZp_hi_pr]
RationalIntegers.BZquo_div1 [in BZquo_div1]
RationalIntegers.BZquo_opp_a1 [in BZquo_opp_a1]
RationalIntegers.BZquo_simplify [in BZquo_simplify]
RationalIntegers.BZquo_mone [in BZquo_mone]
RationalIntegers.BZquo_opp2 [in BZquo_opp2]
RationalIntegers.BZquo_opp_b [in BZquo_opp_b]
RationalIntegers.BZquo_one [in BZquo_one]
RationalIntegers.BZquo_pr1 [in BZquo_pr1]
RationalIntegers.BZrem_opp_b [in BZrem_opp_b]
RationalIntegers.BZrem_small [in BZrem_small]
RationalIntegers.BZrem_div1 [in BZrem_div1]
RationalIntegers.BZSa [in BZSa]
RationalIntegers.BZsign_neg [in BZsign_neg]
RationalIntegers.BZsign_trichotomy [in BZsign_trichotomy]
RationalIntegers.BZsign_pos [in BZsign_pos]
RationalIntegers.BZsign_abs [in BZsign_abs]
RationalIntegers.BZsign_0 [in BZsign_0]
RationalIntegers.BZSm1 [in BZSm1]
RationalIntegers.BZSo [in BZSo]
RationalIntegers.BZSp [in BZSp]
RationalIntegers.BZSs [in BZSs]
RationalIntegers.BZsucc_disc [in BZsucc_disc]
RationalIntegers.BZsucc_sum [in BZsucc_sum]
RationalIntegers.BZsucc_N [in BZsucc_N]
RationalIntegers.BZsucc_pred [in BZsucc_pred]
RationalIntegers.BZsumA [in BZsumA]
RationalIntegers.BZsumC [in BZsumC]
RationalIntegers.BZsum_Mltge0 [in BZsum_Mltge0]
RationalIntegers.BZsum_N_Ns [in BZsum_N_Ns]
RationalIntegers.BZsum_Mltgt0 [in BZsum_Mltgt0]
RationalIntegers.BZsum_opp_l [in BZsum_opp_l]
RationalIntegers.BZsum_opp_r [in BZsum_opp_r]
RationalIntegers.BZsum_0l [in BZsum_0l]
RationalIntegers.BZsum_0r [in BZsum_0r]
RationalIntegers.BZsum_permute_2_in_4 [in BZsum_permute_2_in_4]
RationalIntegers.BZsum_Mltle0 [in BZsum_Mltle0]
RationalIntegers.BZsum_diff_ea [in BZsum_diff_ea]
RationalIntegers.BZsum_Mltlt0 [in BZsum_Mltlt0]
RationalIntegers.BZsum_opp_distr [in BZsum_opp_distr]
RationalIntegers.BZsum_mm [in BZsum_mm]
RationalIntegers.BZsum_pm [in BZsum_pm]
RationalIntegers.BZsum_pp [in BZsum_pp]
RationalIntegers.BZsum_xx [in BZsum_xx]
RationalIntegers.BZsum_Mlteq [in BZsum_Mlteq]
RationalIntegers.BZsum_Mltle [in BZsum_Mltle]
RationalIntegers.BZsum_Mltlt [in BZsum_Mltlt]
RationalIntegers.BZsum_pm1 [in BZsum_pm1]
RationalIntegers.BZsum_pm2 [in BZsum_pm2]
RationalIntegers.BZsum_Mleeq [in BZsum_Mleeq]
RationalIntegers.BZsum_Mlege0 [in BZsum_Mlege0]
RationalIntegers.BZsum_Mlele [in BZsum_Mlele]
RationalIntegers.BZsum_Mlelt [in BZsum_Mlelt]
RationalIntegers.BZsum_Mlegt0 [in BZsum_Mlegt0]
RationalIntegers.BZsum_Meqle [in BZsum_Meqle]
RationalIntegers.BZsum_Meqlt [in BZsum_Meqlt]
RationalIntegers.BZsum_diff [in BZsum_diff]
RationalIntegers.BZsum_Mlele0 [in BZsum_Mlele0]
RationalIntegers.BZsum_Mlelt0 [in BZsum_Mlelt0]
RationalIntegers.BZsum_reg_l [in BZsum_reg_l]
RationalIntegers.BZsum_reg_r [in BZsum_reg_r]
RationalIntegers.BZS_gcd [in BZS_gcd]
RationalIntegers.BZS_sign [in BZS_sign]
RationalIntegers.BZS_lcm [in BZS_lcm]
RationalIntegers.BZS_pred [in BZS_pred]
RationalIntegers.BZS_quo [in BZS_quo]
RationalIntegers.BZS_rem [in BZS_rem]
RationalIntegers.BZS_diff [in BZS_diff]
RationalIntegers.BZS_succ [in BZS_succ]
RationalIntegers.BZS0 [in BZS0]
RationalIntegers.BZS1 [in BZS1]
RationalIntegers.BZS2 [in BZS2]
RationalIntegers.BZS3 [in BZS3]
RationalIntegers.BZS4 [in BZS4]
RationalIntegers.BZ_of_natp_i [in BZ_of_natp_i]
RationalIntegers.BZ_induction_neg [in BZ_induction_neg]
RationalIntegers.BZ_lt_opp [in BZ_lt_opp]
RationalIntegers.BZ_gcd_abs [in BZ_gcd_abs]
RationalIntegers.BZ_sum_Mm [in BZ_sum_Mm]
RationalIntegers.BZ_sum_Mp [in BZ_sum_Mp]
RationalIntegers.BZ_le_opp_iso [in BZ_le_opp_iso]
RationalIntegers.BZ_positive_quo_gcd [in BZ_positive_quo_gcd]
RationalIntegers.BZ_of_Z_inc [in BZ_of_Z_inc]
RationalIntegers.BZ_one_not_zero [in BZ_one_not_zero]
RationalIntegers.BZ_pr1 [in BZ_pr1]
RationalIntegers.BZ_pr2 [in BZ_pr2]
RationalIntegers.BZ_di_neg_spos [in BZ_di_neg_spos]
RationalIntegers.BZ_le_ltT [in BZ_le_ltT]
RationalIntegers.BZ_is_ideal2 [in BZ_is_ideal2]
RationalIntegers.BZ_N_worder [in BZ_N_worder]
RationalIntegers.BZ_induction_pos [in BZ_induction_pos]
RationalIntegers.BZ_le_triangular [in BZ_le_triangular]
RationalIntegers.BZ_of_Z_le [in BZ_of_Z_le]
RationalIntegers.BZ_of_Z_lt [in BZ_of_Z_lt]
RationalIntegers.BZ_negative_P [in BZ_negative_P]
RationalIntegers.BZ_of_Z_pred [in BZ_of_Z_pred]
RationalIntegers.BZ_gcd_unq [in BZ_gcd_unq]
RationalIntegers.BZ_lt_diffP1 [in BZ_lt_diffP1]
RationalIntegers.BZ_lt_diffP2 [in BZ_lt_diffP2]
RationalIntegers.BZ_order_aux [in BZ_order_aux]
RationalIntegers.BZ_of_Z_prod [in BZ_of_Z_prod]
RationalIntegers.BZ_lt_succ [in BZ_lt_succ]
RationalIntegers.BZ_quorem0 [in BZ_quorem0]
RationalIntegers.BZ_le_opp [in BZ_le_opp]
RationalIntegers.BZ_of_Z_neg [in BZ_of_Z_neg]
RationalIntegers.BZ_quorem00 [in BZ_quorem00]
RationalIntegers.BZ_idealS_diff [in BZ_idealS_diff]
RationalIntegers.BZ_di_pos_neg [in BZ_di_pos_neg]
RationalIntegers.BZ_di_neg_pos [in BZ_di_neg_pos]
RationalIntegers.BZ_le_to_ell [in BZ_le_to_ell]
RationalIntegers.BZ_le_pr2 [in BZ_le_pr2]
RationalIntegers.BZ_of_Z_injective [in BZ_of_Z_injective]
RationalIntegers.BZ_le_pr4 [in BZ_le_pr4]
RationalIntegers.BZ_le_pr5 [in BZ_le_pr5]
RationalIntegers.BZ_of_nat_pr1 [in BZ_of_nat_pr1]
RationalIntegers.BZ_of_Z_opp [in BZ_of_Z_opp]
RationalIntegers.BZ_exists_Bezout1 [in BZ_exists_Bezout1]
RationalIntegers.BZ_exists_Bezout2 [in BZ_exists_Bezout2]
RationalIntegers.BZ_exists_Bezout3 [in BZ_exists_Bezout3]
RationalIntegers.BZ_exists_Bezout5 [in BZ_exists_Bezout5]
RationalIntegers.BZ_order_isomorphism_P [in BZ_order_isomorphism_P]
RationalIntegers.BZ_le_abs [in BZ_le_abs]
RationalIntegers.BZ_ideal_0P [in BZ_ideal_0P]
RationalIntegers.BZ_of_nat_i [in BZ_of_nat_i]
RationalIntegers.BZ_nz_quo_gcd [in BZ_nz_quo_gcd]
RationalIntegers.BZ_i0P [in BZ_i0P]
RationalIntegers.BZ_i1P [in BZ_i1P]
RationalIntegers.BZ_i2P [in BZ_i2P]
RationalIntegers.BZ_idealS_opp [in BZ_idealS_opp]
RationalIntegers.BZ_of_Z_abs [in BZ_of_Z_abs]
RationalIntegers.BZ_of_Z_surjective [in BZ_of_Z_surjective]
RationalIntegers.BZ_of_Z_diff [in BZ_of_Z_diff]
RationalIntegers.BZ_le_P0 [in BZ_le_P0]
RationalIntegers.BZ_le_P1 [in BZ_le_P1]
RationalIntegers.BZ_le_P3 [in BZ_le_P3]
RationalIntegers.BZ_le_P6 [in BZ_le_P6]
RationalIntegers.BZ_le_P [in BZ_le_P]
RationalIntegers.BZ_Z_m1 [in BZ_Z_m1]
RationalIntegers.BZ_lt_diffP [in BZ_lt_diffP]
RationalIntegers.BZ_lt_oppP [in BZ_lt_oppP]
RationalIntegers.BZ_idealS_rem [in BZ_idealS_rem]
RationalIntegers.BZ_idealS_abs [in BZ_idealS_abs]
RationalIntegers.BZ_of_Z_sum [in BZ_of_Z_sum]
RationalIntegers.BZ_le_to_ee [in BZ_le_to_ee]
RationalIntegers.BZ_le_to_el [in BZ_le_to_el]
RationalIntegers.BZ_of_Z_succ [in BZ_of_Z_succ]
RationalIntegers.BZ_ind [in BZ_ind]
RationalIntegers.BZ_le_diffP1 [in BZ_le_diffP1]
RationalIntegers.BZ_of_Z_aux_bijection [in BZ_of_Z_aux_bijection]
RationalIntegers.BZ_Z_0 [in BZ_Z_0]
RationalIntegers.BZ_Z_1 [in BZ_Z_1]
RationalIntegers.BZ_principal [in BZ_principal]
RationalIntegers.BZ_positive_P1 [in BZ_positive_P1]
RationalIntegers.BZ_lt_pred [in BZ_lt_pred]
RationalIntegers.BZ_lt_succ1P [in BZ_lt_succ1P]
RationalIntegers.BZ_lt_leT [in BZ_lt_leT]
RationalIntegers.BZ_negative_P1 [in BZ_negative_P1]
RationalIntegers.BZ_leA [in BZ_leA]
RationalIntegers.BZ_lcm_prop3 [in BZ_lcm_prop3]
RationalIntegers.BZ_leR [in BZ_leR]
RationalIntegers.BZ_leT [in BZ_leT]
RationalIntegers.BZ_sum_Mms [in BZ_sum_Mms]
RationalIntegers.BZ_ind1 [in BZ_ind1]
RationalIntegers.BZ_mone_not_zero [in BZ_mone_not_zero]
RationalIntegers.BZ_sum_Mps [in BZ_sum_Mps]
RationalIntegers.BZ_ideal_unique_gen1 [in BZ_ideal_unique_gen1]
RationalIntegers.BZ_positive_P [in BZ_positive_P]
RationalIntegers.BZ_0_if_abs0 [in BZ_0_if_abs0]
RationalIntegers.BZ_hi_pr [in BZ_hi_pr]
RationalIntegers.BZ_of_nat_inj [in BZ_of_nat_inj]
RationalIntegers.BZ_in_ideal1 [in BZ_in_ideal1]
RationalIntegers.BZ_in_ideal3 [in BZ_in_ideal3]
RationalIntegers.BZ_in_ideal4 [in BZ_in_ideal4]
RationalIntegers.BZ_ideal_unique_gen [in BZ_ideal_unique_gen]
RationalIntegers.BZ_le_lt_not [in BZ_le_lt_not]
RationalIntegers.BZ_lt_P1 [in BZ_lt_P1]
RationalIntegers.BZ_of_Z_sign [in BZ_of_Z_sign]
RationalIntegers.BZ_le_diffP [in BZ_le_diffP]
RationalIntegers.BZ_order_aux1 [in BZ_order_aux1]
RationalIntegers.BZ0_pr1 [in BZ0_pr1]
RationalIntegers.BZ0_pr2 [in BZ0_pr2]
RationalIntegers.BZ1_small [in BZ1_small]
RationalIntegers.equipotent_Bnats_Bnat [in equipotent_Bnats_Bnat]
RationalIntegers.infinite_countable_Z [in infinite_countable_Z]
RationalIntegers.positive_non_zero1 [in positive_non_zero1]
RationalIntegers.positive_non_zero2 [in positive_non_zero2]
RationalIntegers.positive_non_zero2bis [in positive_non_zero2bis]
RationalIntegers.sub_BZms_BZ [in sub_BZms_BZ]
RationalIntegers.sub_BZps_BZp [in sub_BZps_BZp]
RationalIntegers.sub_BZps_BZ [in sub_BZps_BZ]
RationalIntegers.sub_BZm_BZ [in sub_BZm_BZ]
RationalIntegers.sub_BZp_BZ [in sub_BZp_BZ]
RationalIntegers.sub_BZms_BZm [in sub_BZms_BZm]
RationalIntegers.Z_of_BZ_zero [in Z_of_BZ_zero]
RationalIntegers.Z_of_BZ_pa [in Z_of_BZ_pa]
RationalIntegers.Z_of_BZ_pb [in Z_of_BZ_pb]
RationalIntegers.Z_of_BZ_mone [in Z_of_BZ_mone]
RationalIntegers.Z_of_BZ_one [in Z_of_BZ_one]
Realisation.AC_variants [in AC_variants]
Realisation.AF_ordinal [in AF_ordinal]
Realisation.AF_infinite_seq [in AF_infinite_seq]
Realisation.AF_irreflexive [in AF_irreflexive]
Realisation.AF_universe [in AF_universe]
Realisation.AF_asymmetric [in AF_asymmetric]
Realisation.AF_universe' [in AF_universe']
Realisation.hereditarily_finite_pr [in hereditarily_finite_pr]
Realisation.infinite_depth_prop [in infinite_depth_prop]
Realisation.model_union [in model_union]
Realisation.model_replacement_comprehension [in model_replacement_comprehension]
Realisation.model_uniqueness [in model_uniqueness]
Realisation.model_existence [in model_existence]
Realisation.model_existence2 [in model_existence2]
Realisation.OS_urank [in OS_urank]
Realisation.rept_union_inc2 [in rept_union_inc2]
Realisation.rept_union_pr [in rept_union_pr]
Realisation.rept_union_inc [in rept_union_inc]
Realisation.tc_pr1 [in tc_pr1]
Realisation.tc_unique [in tc_unique]
Realisation.tc_exists [in tc_exists]
Realisation.universe_inaccessible_mo1 [in universe_inaccessible_mo1]
Realisation.universe_inaccessible_mo2 [in universe_inaccessible_mo2]
Realisation.universe_stable_inc [in universe_stable_inc]
Realisation.universe_inaccessible_card1 [in universe_inaccessible_card1]
Realisation.universe_inaccessible_card2 [in universe_inaccessible_card2]
Realisation.universe_limit [in universe_limit]
Realisation.universe_ordinal [in universe_ordinal]
Realisation.universe_succ [in universe_succ]
Realisation.universe_AF [in universe_AF]
Realisation.universe_mo' [in universe_mo']
Realisation.universe_mo1 [in universe_mo1]
Realisation.universe_mo2 [in universe_mo2]
Realisation.universe_mo3 [in universe_mo3]
Realisation.universe_mo4 [in universe_mo4]
Realisation.universe_0 [in universe_0]
Realisation.universe_P [in universe_P]
Realisation.universe_trans [in universe_trans]
Realisation.universe_omega_props [in universe_omega_props]
Realisation.universe_rec [in universe_rec]
Realisation.universe_inaccessible_inc [in universe_inaccessible_inc]
Realisation.Universe_permutation1 [in Universe_permutation1]
Realisation.universe_omega_HF [in universe_omega_HF]
Realisation.universe_inc1 [in universe_inc1]
Realisation.universe_inc2 [in universe_inc2]
Realisation.universe_omega_hi [in universe_omega_hi]
Realisation.up_ZF1 [in up_ZF1]
Realisation.up_exten [in up_exten]
Realisation.up_infinite [in up_infinite]
Realisation.up_union2 [in up_union2]
Realisation.up_Ut [in up_Ut]
Realisation.up_choice [in up_choice]
Realisation.up_fi [in up_fi]
Realisation.up_inter2 [in up_inter2]
Realisation.up_values [in up_values]
Realisation.up_disjoint [in up_disjoint]
Realisation.up_succ [in up_succ]
Realisation.urankA_succ [in urankA_succ]
Realisation.urankA_ex [in urankA_ex]
Realisation.urankA_pr [in urankA_pr]
Realisation.urankA_uniq [in urankA_uniq]
Realisation.urank_alt [in urank_alt]
Realisation.urank_sub [in urank_sub]
Realisation.urank_ordinal [in urank_ordinal]
Realisation.urank_inc [in urank_inc]
Realisation.urank_uniq2 [in urank_uniq2]
Realisation.urank_union [in urank_union]
Realisation.urank_powerset [in urank_powerset]
Realisation.urank_uniq [in urank_uniq]
Realisation.urank_pr1 [in urank_pr1]
Realisation.urank_ex [in urank_ex]
Realisation.urank_alt1 [in urank_alt1]
Realisation.urank_alt2 [in urank_alt2]
Realisation.urank_pr [in urank_pr]
Realisation.urank_universe [in urank_universe]
Relation.arg1_sr [in arg1_sr]
Relation.arg2_sr [in arg2_sr]
Relation.canonical_decomposition [in canonical_decomposition]
Relation.canonical_decomposition_surj [in canonical_decomposition_surj]
Relation.canonical_decompositiona [in canonical_decompositiona]
Relation.canonical_decompositionb [in canonical_decompositionb]
Relation.canonical_decomposition_surj2 [in canonical_decomposition_surj2]
Relation.canonical_foq_induced_rel_fb [in canonical_foq_induced_rel_fb]
Relation.canon_proj_setQ_i [in canon_proj_setQ_i]
Relation.canon_proj_V [in canon_proj_V]
Relation.canon_proj_f [in canon_proj_f]
Relation.canon_proj_s [in canon_proj_s]
Relation.canon_proj_t [in canon_proj_t]
Relation.canon_proj_fs [in canon_proj_fs]
Relation.canon_proj_diagonal_fb_contra [in canon_proj_diagonal_fb_contra]
Relation.canon_proj_diagonal_fb [in canon_proj_diagonal_fb]
Relation.class_is_im_of_singleton [in class_is_im_of_singleton]
Relation.class_is_inv_direct_value [in class_is_inv_direct_value]
Relation.class_class [in class_class]
Relation.class_rep [in class_rep]
Relation.class_eq1 [in class_eq1]
Relation.class_eq2 [in class_eq2]
Relation.class_dichot [in class_dichot]
Relation.class_prod_of_relP2 [in class_prod_of_relP2]
Relation.class_P [in class_P]
Relation.coarsest_equivalence [in coarsest_equivalence]
Relation.coarse_graph [in coarse_graph]
Relation.coarse_equivalence [in coarse_equivalence]
Relation.coarse_related [in coarse_related]
Relation.coarse_sr [in coarse_sr]
Relation.compatible_with_pr [in compatible_with_pr]
Relation.compatible_constant_on_classes2 [in compatible_constant_on_classes2]
Relation.compatible_constant_on_classes [in compatible_constant_on_classes]
Relation.compatible_with_proj3 [in compatible_with_proj3]
Relation.compatible_injection_induced_rel [in compatible_injection_induced_rel]
Relation.compatible_ext_to_prod_inv [in compatible_ext_to_prod_inv]
Relation.compatible_ext_to_prod [in compatible_ext_to_prod]
Relation.compatible_with_finer [in compatible_with_finer]
Relation.compatible_with_pr2 [in compatible_with_pr2]
Relation.compatible_ea [in compatible_ea]
Relation.compatible_with_equiv_pr [in compatible_with_equiv_pr]
Relation.compatible_with_proj [in compatible_with_proj]
Relation.composable_fun_projc [in composable_fun_projc]
Relation.composable_fun_projs [in composable_fun_projs]
Relation.composable_fun_proj [in composable_fun_proj]
Relation.composable_fun_projcs [in composable_fun_projcs]
Relation.compose_fun_proj_eq2 [in compose_fun_proj_eq2]
Relation.compose_fun_proj_ev2 [in compose_fun_proj_ev2]
Relation.compose_fun_proj_eq [in compose_fun_proj_eq]
Relation.compose_fun_proj_ev [in compose_fun_proj_ev]
Relation.compose_foq_proj [in compose_foq_proj]
Relation.cqr_aux [in cqr_aux]
Relation.decomposable_ext_to_prod_rel [in decomposable_ext_to_prod_rel]
Relation.diagonal_equivalence [in diagonal_equivalence]
Relation.diagonal_graph_on [in diagonal_graph_on]
Relation.diagonal_class [in diagonal_class]
Relation.diagonal_osr [in diagonal_osr]
Relation.domain_sr1 [in domain_sr1]
Relation.domain_sr [in domain_sr]
Relation.ea_foq_on_im_fb [in ea_foq_on_im_fb]
Relation.ea_relatedP [in ea_relatedP]
Relation.ea_graph_on [in ea_graph_on]
Relation.ea_foq_fi [in ea_foq_fi]
Relation.equipotent_equivalence [in equipotent_equivalence]
Relation.equivalencesP [in equivalencesP]
Relation.equivalence_relation_bourbaki_ex5 [in equivalence_relation_bourbaki_ex5]
Relation.equivalence_pr [in equivalence_pr]
Relation.equivalence_equivalence [in equivalence_equivalence]
Relation.equivalence_from_rel [in equivalence_from_rel]
Relation.equivalence_prod_of_rel [in equivalence_prod_of_rel]
Relation.equivalence_relation_pr1 [in equivalence_relation_pr1]
Relation.equivalence_sgraph [in equivalence_sgraph]
Relation.exists_fun_on_quotient [in exists_fun_on_quotient]
Relation.exists_unique_fun_on_quotient [in exists_unique_fun_on_quotient]
Relation.ext_to_prod_rel_V [in ext_to_prod_rel_V]
Relation.ext_to_prod_rel_f [in ext_to_prod_rel_f]
Relation.finer_sub_equivP2 [in finer_sub_equivP2]
Relation.finer_sub_equivP3 [in finer_sub_equivP3]
Relation.finer_sub_equivP [in finer_sub_equivP]
Relation.finest_equivalence [in finest_equivalence]
Relation.first_proj_eq_related_P [in first_proj_eq_related_P]
Relation.first_proj_equiv_proj [in first_proj_equiv_proj]
Relation.first_proj_classP [in first_proj_classP]
Relation.first_proj_sr [in first_proj_sr]
Relation.first_proj_equivalence [in first_proj_equivalence]
Relation.foqcs_axioms [in foqcs_axioms]
Relation.foqcs_V [in foqcs_V]
Relation.foqcs_f [in foqcs_f]
Relation.foqc_axioms [in foqc_axioms]
Relation.foqc_V [in foqc_V]
Relation.foqc_f [in foqc_f]
Relation.foqs_axioms [in foqs_axioms]
Relation.foqs_V [in foqs_V]
Relation.foqs_f [in foqs_f]
Relation.foq_finer_V [in foq_finer_V]
Relation.foq_finer_f [in foq_finer_f]
Relation.foq_induced_rel_fi [in foq_induced_rel_fi]
Relation.foq_finer_fs [in foq_finer_fs]
Relation.foq_induced_rel_image [in foq_induced_rel_image]
Relation.foq_axioms [in foq_axioms]
Relation.foq_V [in foq_V]
Relation.foq_f [in foq_f]
Relation.fun_on_quotient_pr [in fun_on_quotient_pr]
Relation.fun_on_quotient_pr2 [in fun_on_quotient_pr2]
Relation.fun_on_quotient_pr3 [in fun_on_quotient_pr3]
Relation.fun_on_quotient_pr4 [in fun_on_quotient_pr4]
Relation.fun_on_quotient_pr5 [in fun_on_quotient_pr5]
Relation.graph_ea_equivalence [in graph_ea_equivalence]
Relation.graph_ea_substrate [in graph_ea_substrate]
Relation.graph_on_sr1 [in graph_on_sr1]
Relation.graph_on_graph [in graph_on_graph]
Relation.graph_on_P0 [in graph_on_P0]
Relation.graph_on_P1 [in graph_on_P1]
Relation.graph_on_P2 [in graph_on_P2]
Relation.graph_on_P3 [in graph_on_P3]
Relation.graph_on_sr [in graph_on_sr]
Relation.idempotent_graph_transitive [in idempotent_graph_transitive]
Relation.idvalue_cprojP [in idvalue_cprojP]
Relation.idvalue_P [in idvalue_P]
Relation.iirel_relation [in iirel_relation]
Relation.iirel_substrate [in iirel_substrate]
Relation.iirel_f [in iirel_f]
Relation.iirel_relatedP [in iirel_relatedP]
Relation.iirel_classP [in iirel_classP]
Relation.inc_in_setQ_sr [in inc_in_setQ_sr]
Relation.inc_class_setQ [in inc_class_setQ]
Relation.inc_itself_class [in inc_itself_class]
Relation.inc_coarse_all_equivalence_relations [in inc_coarse_all_equivalence_relations]
Relation.induced_rel_classP [in induced_rel_classP]
Relation.induced_rel_relatedP [in induced_rel_relatedP]
Relation.induced_rel_equivalence [in induced_rel_equivalence]
Relation.induced_rel_substrate [in induced_rel_substrate]
Relation.induced_rel_iirel_axioms [in induced_rel_iirel_axioms]
Relation.in_class_relatedP [in in_class_relatedP]
Relation.isc_rel1P [in isc_rel1P]
Relation.isc_hi [in isc_hi]
Relation.isc_rel_equivalence [in isc_rel_equivalence]
Relation.isc_rel_P [in isc_rel_P]
Relation.isc_rel_class [in isc_rel_class]
Relation.isc_rel_sr [in isc_rel_sr]
Relation.isc_rel_class2 [in isc_rel_class2]
Relation.is_class_pr [in is_class_pr]
Relation.order_product2_or [in order_product2_or]
Relation.order_product2_sr [in order_product2_sr]
Relation.order_product2_preorder [in order_product2_preorder]
Relation.order_preorder [in order_preorder]
Relation.order_sgraph [in order_sgraph]
Relation.order_product2_sr1 [in order_product2_sr1]
Relation.order_from_rel [in order_from_rel]
Relation.partition_from_equivalence [in partition_from_equivalence]
Relation.partition_fun_fb [in partition_fun_fb]
Relation.partition_inc_unique1 [in partition_inc_unique1]
Relation.preorder_from_rel [in preorder_from_rel]
Relation.preorder_sgraph [in preorder_sgraph]
Relation.prod_of_rel_P [in prod_of_rel_P]
Relation.pr1_sr [in pr1_sr]
Relation.pr2_sr [in pr2_sr]
Relation.quotient_canonical_decomposition [in quotient_canonical_decomposition]
Relation.quo_rel_class_bisP [in quo_rel_class_bisP]
Relation.quo_rel_related_bisP [in quo_rel_related_bisP]
Relation.quo_rel_equivalence [in quo_rel_equivalence]
Relation.quo_rel_relatedP [in quo_rel_relatedP]
Relation.quo_rel_pr [in quo_rel_pr]
Relation.quo_rel_substrate [in quo_rel_substrate]
Relation.reflexive_domain [in reflexive_domain]
Relation.reflexivity_e [in reflexivity_e]
Relation.related_prod_of_relP1 [in related_prod_of_relP1]
Relation.related_prod_of_relP2 [in related_prod_of_relP2]
Relation.related_rep_class [in related_rep_class]
Relation.related_ext_to_prod_rel [in related_ext_to_prod_rel]
Relation.related_e_P [in related_e_P]
Relation.related_equiv_P [in related_equiv_P]
Relation.related_rr_P [in related_rr_P]
Relation.related_rep_in_class [in related_rep_in_class]
Relation.rel_gcp_P [in rel_gcp_P]
Relation.rel_on_quoP [in rel_on_quoP]
Relation.rel_on_quoP2 [in rel_on_quoP2]
Relation.rel_in_class [in rel_in_class]
Relation.rel_in_class2 [in rel_in_class2]
Relation.rep_sys_function_pr2 [in rep_sys_function_pr2]
Relation.rep_i_sr [in rep_i_sr]
Relation.rep_sys_function_pr [in rep_sys_function_pr]
Relation.rep_in_class [in rep_in_class]
Relation.right_inv_canon_proj [in right_inv_canon_proj]
Relation.saturatedP [in saturatedP]
Relation.saturated_P3 [in saturated_P3]
Relation.saturated_P4 [in saturated_P4]
Relation.saturated_setC [in saturated_setC]
Relation.saturated_setI [in saturated_setI]
Relation.saturated_setU [in saturated_setU]
Relation.saturated2P [in saturated2P]
Relation.saturation_of_pr [in saturation_of_pr]
Relation.saturation_of_union [in saturation_of_union]
Relation.saturation_of_smallest [in saturation_of_smallest]
Relation.section_is_representative_system_function [in section_is_representative_system_function]
Relation.section_canon_proj_axioms [in section_canon_proj_axioms]
Relation.section_canon_proj_V [in section_canon_proj_V]
Relation.section_canon_proj_f [in section_canon_proj_f]
Relation.section_canon_proj_pr [in section_canon_proj_pr]
Relation.selfinverse_graph_symmetric [in selfinverse_graph_symmetric]
Relation.setIrelR [in setIrelR]
Relation.setIrelS [in setIrelS]
Relation.setIrelT [in setIrelT]
Relation.setIrel_P [in setIrel_P]
Relation.setIrel_graph [in setIrel_graph]
Relation.setIrel_or [in setIrel_or]
Relation.setIrel_equivalence [in setIrel_equivalence]
Relation.setIrel_sr [in setIrel_sr]
Relation.setQ_ne [in setQ_ne]
Relation.setQ_P [in setQ_P]
Relation.setQ_repi [in setQ_repi]
Relation.setU_setQ [in setU_setQ]
Relation.substrate_prod_of_rel [in substrate_prod_of_rel]
Relation.substrate_smallest [in substrate_smallest]
Relation.substrate_sub [in substrate_sub]
Relation.substrate_P [in substrate_P]
Relation.substr_i [in substr_i]
Relation.sub_im_canon_proj_quotient [in sub_im_canon_proj_quotient]
Relation.sub_quotient_powerset [in sub_quotient_powerset]
Relation.sub_class_substrate [in sub_class_substrate]
Relation.sub_graph_coarse_substrate [in sub_graph_coarse_substrate]
Relation.sub_class_sr [in sub_class_sr]
Relation.surjective_pr7 [in surjective_pr7]
Relation.symmetricity_e [in symmetricity_e]
Relation.symmetric_transitive_equivalence [in symmetric_transitive_equivalence]
Relation.transitivity_e [in transitivity_e]
Relation.trivial_equiv [in trivial_equiv]
S
set_surj_fun_onP [in set_surj_fun_onP]set_surj_fun_P [in set_surj_fun_P]
shorten_sum [in shorten_sum]
sn2bin [in sn2bin]
sn4bin' [in sn4bin']
sn6bin' [in sn6bin']
sorted_prop [in sorted_prop]
stirE [in stirE]
stirling_partition [in stirling_partition]
stirn0 [in stirn0]
stirS [in stirS]
stir_SSnn [in stir_SSnn]
stir_n1 [in stir_n1]
stir_n2 [in stir_n2]
stir_nn [in stir_nn]
stir_small1 [in stir_small1]
stir_Snn [in stir_Snn]
stir_small [in stir_small]
stir_Snn' [in stir_Snn']
stir0n [in stir0n]
stir00 [in stir00]
subseq_iota [in subseq_iota]
subseq_iota1 [in subseq_iota1]
sum_bin_rec [in sum_bin_rec]
sum_nbsurj [in sum_nbsurj]
sum_pow [in sum_pow]
sum_pow_euler [in sum_pow_euler]
T
T_nkbin_pr [in T_nkbin_pr]U
Union.C2_neC01 [in C2_neC01]Union.C3_neC012 [in C3_neC012]
Union.C3_P [in C3_P]
Union.C4_P [in C4_P]
Union.funI_setU1 [in funI_setU1]
Union.funI_setU2 [in funI_setU2]
Union.funI_setne [in funI_setne]
Union.funI_setne1 [in funI_setne1]
Union.funI_set0 [in funI_set0]
Union.funI_set1 [in funI_set1]
Union.funI_set2 [in funI_set2]
Union.funI_setU [in funI_setU]
Union.funI_S [in funI_S]
Union.select_uniq [in select_uniq]
Union.select_pr [in select_pr]
Union.setCU_K [in setCU_K]
Union.setC1_K [in setC1_K]
Union.setC1_inj [in setC1_inj]
Union.setUt_P [in setUt_P]
Union.setU_0 [in setU_0]
Union.setU_1 [in setU_1]
Union.setU_P [in setU_P]
Union.setU_i [in setU_i]
Union.setU_hi [in setU_hi]
Union.setU_s1 [in setU_s1]
Union.setU_s2 [in setU_s2]
Union.setU1_eq [in setU1_eq]
Union.setU1_hi [in setU1_hi]
Union.setU1_sub [in setU1_sub]
Union.setU1_inj [in setU1_inj]
Union.setU1_1 [in setU1_1]
Union.setU1_K [in setU1_K]
Union.setU1_P [in setU1_P]
Union.setU1_r [in setU1_r]
Union.setU2Cr1 [in setU2Cr1]
Union.setU2Cr2 [in setU2Cr2]
Union.setU2id_Pl [in setU2id_Pl]
Union.setU2id_Pr [in setU2id_Pr]
Union.setU2_AC [in setU2_AC]
Union.setU2_CA [in setU2_CA]
Union.setU2_Cr [in setU2_Cr]
Union.setU2_0 [in setU2_0]
Union.setU2_1 [in setU2_1]
Union.setU2_2 [in setU2_2]
Union.setU2_A [in setU2_A]
Union.setU2_C [in setU2_C]
Union.setU2_P [in setU2_P]
Union.setU2_S1 [in setU2_S1]
Union.setU2_S2 [in setU2_S2]
Union.setU2_SS [in setU2_SS]
Union.setU2_hi [in setU2_hi]
Union.setU2_id [in setU2_id]
Union.setU2_12S [in setU2_12S]
Union.setU2_eq0P [in setU2_eq0P]
Union.setU2_11 [in setU2_11]
Union.set0_U2 [in set0_U2]
Union.set2_UUl [in set2_UUl]
Union.set2_UUr [in set2_UUr]
Union.set3_P [in set3_P]
Union.subCset_P2 [in subCset_P2]
Union.subsetU2l [in subsetU2l]
Union.subsetU2r [in subsetU2r]
Union.subU2_setP [in subU2_setP]
Union.sub_setU1 [in sub_setU1]
Union.sub_setU2 [in sub_setU2]
Union.Y_false [in Y_false]
Union.Y_same [in Y_same]
Union.Y_true [in Y_true]
UT_nkbin [in UT_nkbin]
U_nkbin_pr [in U_nkbin_pr]
V
VonNeumann.direct_image_exten [in direct_image_exten]VonNeumann.numeration_unique [in numeration_unique]
VonNeumann.segments_numerables [in segments_numerables]
VonNeumann.sub_numeration [in sub_numeration]
VonNeumann.worder_numerable [in worder_numerable]
VonNeumann.worder_numerable_bis [in worder_numerable_bis]
W
Wfsum.f_spec_simp [in f_spec_simp]Wfsum.f_correct [in f_correct]
Wfsum.f_eqn [in f_eqn]
Wfsum.lt_dec [in lt_dec]
Wfsum.psum_exten [in psum_exten]
Wf_ex3.f0a [in f0a]
Wf_ex3.f0b [in f0b]
Wf_ex3.f0c [in f0c]
Wf_ex3.f_spec_simp [in f_spec_simp]
Wf_ex.f_spec_simp [in f_spec_simp]
Wf_ex3.f_correct [in f_correct]
Wf_ex.f_correct [in f_correct]
Wf_ex.f0 [in f0]
Wf_ex3.lte_wf [in lte_wf]
Wf_ex3.f_spec_simp1 [in f_spec_simp1]
Wf_ex3.f_spec_simp2 [in f_spec_simp2]
Wf_ex3.f_eqn [in f_eqn]
Wf_ex.f_eqn [in f_eqn]
Wf_ex3.odd_dec [in odd_dec]
Worder.bij_pair_isomorphism_onto_segment [in bij_pair_isomorphism_onto_segment]
Worder.canonical2_substrate [in canonical2_substrate]
Worder.cdo_wor [in cdo_wor]
Worder.cdo_gleP [in cdo_gleP]
Worder.cdo_glt1 [in cdo_glt1]
Worder.coarse_segment_monotone [in coarse_segment_monotone]
Worder.disjoint_union_pi1 [in disjoint_union_pi1]
Worder.du_index_pr1 [in du_index_pr1]
Worder.empty_substrate_zero [in empty_substrate_zero]
Worder.increasing_function_segments [in increasing_function_segments]
Worder.inc_segmentsP [in inc_segmentsP]
Worder.inc_segment [in inc_segment]
Worder.inc_bound_segmentc [in inc_bound_segmentc]
Worder.induced_wor [in induced_wor]
Worder.inductive_powerset [in inductive_powerset]
Worder.inductive_graphs [in inductive_graphs]
Worder.inductive_max_greater [in inductive_max_greater]
Worder.isomorphic_subset_segment [in isomorphic_subset_segment]
Worder.isomorphism_worder_unique [in isomorphism_worder_unique]
Worder.isomorphism_worder2 [in isomorphism_worder2]
Worder.isomorphism_worder [in isomorphism_worder]
Worder.le_in_segment [in le_in_segment]
Worder.lt_in_segment [in lt_in_segment]
Worder.maximal_in_powerset [in maximal_in_powerset]
Worder.minimal_in_powerset [in minimal_in_powerset]
Worder.not_in_segment [in not_in_segment]
Worder.order_merge1 [in order_merge1]
Worder.order_merge2 [in order_merge2]
Worder.order_merge3 [in order_merge3]
Worder.order_merge4 [in order_merge4]
Worder.order_merge5 [in order_merge5]
Worder.order_sp_axioms [in order_sp_axioms]
Worder.order_prod_pr [in order_prod_pr]
Worder.orprod_gle1P [in orprod_gle1P]
Worder.orprod_or [in orprod_or]
Worder.orprod_sr [in orprod_sr]
Worder.orprod_osr [in orprod_osr]
Worder.orprod_gleP [in orprod_gleP]
Worder.orprod_total [in orprod_total]
Worder.orprod2_osr [in orprod2_osr]
Worder.orprod2_or [in orprod2_or]
Worder.orprod2_sr [in orprod2_sr]
Worder.orprod2_gleP [in orprod2_gleP]
Worder.orsum_osr [in orsum_osr]
Worder.orsum_gle_id [in orsum_gle_id]
Worder.orsum_or [in orsum_or]
Worder.orsum_gle1 [in orsum_gle1]
Worder.orsum_gle2 [in orsum_gle2]
Worder.orsum_gleP [in orsum_gleP]
Worder.orsum_sr [in orsum_sr]
Worder.orsum_wor [in orsum_wor]
Worder.orsum2_or [in orsum2_or]
Worder.orsum2_sr [in orsum2_sr]
Worder.orsum2_totalorder [in orsum2_totalorder]
Worder.orsum2_gleP [in orsum2_gleP]
Worder.orsum2_gle_spec [in orsum2_gle_spec]
Worder.orsum2_osr [in orsum2_osr]
Worder.rts_fs [in rts_fs]
Worder.rts_extensionality [in rts_extensionality]
Worder.segmentcP [in segmentcP]
Worder.segmentc_insetof [in segmentc_insetof]
Worder.segmentc_pr [in segmentc_pr]
Worder.segmentc_segment [in segmentc_segment]
Worder.segmentP [in segmentP]
Worder.segments_worder [in segments_worder]
Worder.segments_iso_is [in segments_iso_is]
Worder.segments_iso1 [in segments_iso1]
Worder.segments_iso2 [in segments_iso2]
Worder.segment_alt [in segment_alt]
Worder.segment_monotone [in segment_monotone]
Worder.segment_segment [in segment_segment]
Worder.segment_inc [in segment_inc]
Worder.segment_alt1 [in segment_alt1]
Worder.segment_dichot_sub [in segment_dichot_sub]
Worder.segment_induced [in segment_induced]
Worder.segment_injective [in segment_injective]
Worder.segment_induced_a [in segment_induced_a]
Worder.segment_monotone1 [in segment_monotone1]
Worder.segment_insetof [in segment_insetof]
Worder.segment_induced1 [in segment_induced1]
Worder.setI_segment [in setI_segment]
Worder.setUf_segment [in setUf_segment]
Worder.setU_segment [in setU_segment]
Worder.set0_or [in set0_or]
Worder.set0_segment [in set0_segment]
Worder.set0_wor [in set0_wor]
Worder.set1_order_is1 [in set1_order_is1]
Worder.set1_order_is2 [in set1_order_is2]
Worder.set1_order_is [in set1_order_is]
Worder.set1_wor [in set1_wor]
Worder.strict_increasing_extens [in strict_increasing_extens]
Worder.subsegment_segment [in subsegment_segment]
Worder.substrate_segment [in substrate_segment]
Worder.sub_segment1 [in sub_segment1]
Worder.sub_segment2 [in sub_segment2]
Worder.sub_segmentc [in sub_segmentc]
Worder.sub_segments [in sub_segments]
Worder.sub_segment [in sub_segment]
Worder.transdef_tg1 [in transdef_tg1]
Worder.transdef_tg2 [in transdef_tg2]
Worder.transdef_tg3 [in transdef_tg3]
Worder.transfinite_aux1 [in transfinite_aux1]
Worder.transfinite_aux2 [in transfinite_aux2]
Worder.transfinite_aux3 [in transfinite_aux3]
Worder.transfinite_unique [in transfinite_unique]
Worder.transfinite_definition_stable [in transfinite_definition_stable]
Worder.transfinite_unique1 [in transfinite_unique1]
Worder.transfinite_defined_pr [in transfinite_defined_pr]
Worder.transfinite_pr [in transfinite_pr]
Worder.transfinite_definition [in transfinite_definition]
Worder.transfinite_principle [in transfinite_principle]
Worder.transfinite_principle1 [in transfinite_principle1]
Worder.transfinite_principle2 [in transfinite_principle2]
Worder.union_segments [in union_segments]
Worder.unique_isomorphism_onto_segment [in unique_isomorphism_onto_segment]
Worder.well_ordered_segment [in well_ordered_segment]
Worder.wordering_pr [in wordering_pr]
Worder.worderr_total [in worderr_total]
Worder.worder_merge [in worder_merge]
Worder.worder_set1 [in worder_set1]
Worder.worder_adjoin_greatest [in worder_adjoin_greatest]
Worder.worder_least [in worder_least]
Worder.worder_total [in worder_total]
Worder.worder_or [in worder_or]
Worder.worder_hassup [in worder_hassup]
Worder.Zermelo [in Zermelo]
Worder.Zermelo_aux [in Zermelo_aux]
Worder.Zermelo_ter [in Zermelo_ter]
Worder.Zermelo_aux0 [in Zermelo_aux0]
Worder.Zermelo_aux1 [in Zermelo_aux1]
Worder.Zermelo_aux2 [in Zermelo_aux2]
Worder.Zermelo_aux3 [in Zermelo_aux3]
Worder.Zermelo_aux4 [in Zermelo_aux4]
Worder.Zorn_aux [in Zorn_aux]
Worder.Zorn_lemma [in Zorn_lemma]
Z
Zformulas.bin_conv_inv1 [in bin_conv_inv1]Zformulas.bin_conv_inv2 [in bin_conv_inv2]
Zformulas.bin_conv_inv3 [in bin_conv_inv3]
Zformulas.bin_conv_inv_rec [in bin_conv_inv_rec]
Zformulas.double_pow_m1 [in double_pow_m1]
Zformulas.Exercise5_7a [in Exercise5_7a]
Zformulas.Exercise5_7b [in Exercise5_7b]
Zformulas.F26a [in F26a]
Zformulas.F26b [in F26b]
Zformulas.nb_surj_small [in nb_surj_small]
Zformulas.nb_surj_SSnn [in nb_surj_SSnn]
Zformulas.nb_surj_rec [in nb_surj_rec]
Zformulas.nb_surj_00 [in nb_surj_00]
Zformulas.nb_surj_0p [in nb_surj_0p]
Zformulas.nb_surj_1p [in nb_surj_1p]
Zformulas.nb_surj_pos1 [in nb_surj_pos1]
Zformulas.nb_surj_Snn [in nb_surj_Snn]
Zformulas.nb_surj_n0 [in nb_surj_n0]
Zformulas.nb_surj_n1 [in nb_surj_n1]
Zformulas.nb_surj_n2 [in nb_surj_n2]
Zformulas.nb_surj_nn [in nb_surj_nn]
Section Index
A
Axioms.Choose [in Choose]B
Bfunction.ConstantFunction [in ConstantFunction]Bfunction.Extension [in Extension]
Bfunction.Ext_to_prod [in Ext_to_prod]
Bfunction.Funtion_two_args [in Funtion_two_args]
Bfunction.InverseProps [in InverseProps]
Bfunction.Vf_pr [in Vf_pr]
BigOps [in BigOps]
Border.LatticeProps [in LatticeProps]
Border.OrderAssociated [in OrderAssociated]
Border.OrderFunction [in OrderFunction]
Border.OrderGraph [in OrderGraph]
Bordinal.SuccProp [in SuccProp]
Bproduct.ExtMapProd [in ExtMapProd]
Bproduct.FunSetToProd [in FunSetToProd]
Bproduct.ProdProdCanon [in ProdProdCanon]
Bproduct.ProductCompose [in ProductCompose]
Bproduct.RestrictionProduct [in RestrictionProduct]
C
Cardinal.OrdinalFinite [in OrdinalFinite]E
Exercise1.exercise1_1 [in exercise1_1]Exercise1.Exercise6_10 [in Exercise6_10]
Exercise1.Ex1_6 [in Ex1_6]
Exercise2.Exercise1_10 [in Exercise1_10]
Exercise2.Exercise1_13 [in Exercise1_13]
Exercise2.Exercise1_15 [in Exercise1_15]
Exercise2.Exercise1_16 [in Exercise1_16]
Exercise2.Exercise1_19 [in Exercise1_19]
Exercise2.Exercise1_22 [in Exercise1_22]
Exercise2.Exercise1_3a [in Exercise1_3a]
Exercise2.Exercise1_6a [in Exercise1_6a]
Exercise2.Exercise1_6 [in Exercise1_6]
Exercise2.Exercise1_9 [in Exercise1_9]
Exercise2.Exercise13b [in Exercise13b]
Exercise3.Exercise2_11 [in Exercise2_11]
Exercise3.Exercise2_6 [in Exercise2_6]
Exercise3.Exercise27 [in Exercise27]
Exercise3.Exercise34 [in Exercise34]
Exercise3.OlexPowBasic [in OlexPowBasic]
Exercise3.Olex_basic [in Olex_basic]
Exercise4.Exercice4_11 [in Exercice4_11]
Exercise4.Exercise46 [in Exercise46]
Exercise4.Irred_lattice [in Irred_lattice]
Exercise5.Exercise5_5 [in Exercise5_5]
Exercise5.Exercise6_15 [in Exercise6_15]
Exercise5.Exercise6_24 [in Exercise6_24]
Exercise5.Exercise6_6 [in Exercise6_6]
Exercise6.Exercise6_33 [in Exercise6_33]
F
FiniteSets.BnatIinterval [in BnatIinterval]FiniteSets.LatticeProps [in LatticeProps]
Function.Vprops [in Vprops]
I
IntegerProps.Base_b_expansion [in Base_b_expansion]IntegerProps.FiniteIntFam [in FiniteIntFam]
IntegerProps.IntervalBnatwo [in IntervalBnatwo]
IntegerProps.IntervalBnatwo1 [in IntervalBnatwo1]
IntegerProps.ModuloProps [in ModuloProps]
N
NumberSums.NdsNat [in NdsNat]NumberSums.NdsStudy [in NdsStudy]
NumberSums.NdsStudy1 [in NdsStudy1]
O
Ordinals1.InfiniteNormal [in InfiniteNormal]Ordinals2.All_derivatives [in All_derivatives]
Ordinals2.OrdinalInduction [in OrdinalInduction]
Ordinals2.OrdinalInduction2 [in OrdinalInduction2]
Ordinals3.CNF_baseb [in CNF_baseb]
Ordinals5.Exercise3_3 [in Exercise3_3]
Ordinals5.GenContHypothesis_Props [in GenContHypothesis_Props]
P
PolyFormulas [in PolyFormulas]R
RationalIntegers.BZdiffProps [in BZdiffProps]RationalIntegers.BZdiffProps2 [in BZdiffProps2]
RationalIntegers.Conversions [in Conversions]
Realisation.Foundation [in Foundation]
Realisation.InaccessibleUniverse [in InaccessibleUniverse]
Realisation.ModelTheory [in ModelTheory]
Realisation.UniversePermutation [in UniversePermutation]
Relation.CanonProj [in CanonProj]
Relation.Class [in Class]
Relation.Definitions [in Definitions]
Relation.EquivalenceAssociated [in EquivalenceAssociated]
Relation.FinerEquivalence [in FinerEquivalence]
Relation.InducedRelation [in InducedRelation]
Relation.InSameCoset [in InSameCoset]
Relation.QuotientRelations [in QuotientRelations]
restricted_recursion [in restricted_recursion]
RingFormulas [in RingFormulas]
RingPoly [in RingPoly]
S
Sequences [in Sequences]Stirling [in Stirling]
Stirling.Partition [in Partition]
U
Union.UnionDef [in UnionDef]W
Worder.OrderSumBasic [in OrderSumBasic]Worder.OrderSum2Basic [in OrderSum2Basic]
Worder.TransfinitePrinciple [in TransfinitePrinciple]
Constructor Index
A
Ackermann.CompareT3Eq [in CompareT3Eq]Ackermann.CompareT3Gt [in CompareT3Gt]
Ackermann.CompareT3Lt [in CompareT3Lt]
Ackermann.cons [in cons]
Ackermann.T3GeqNotGtn [in T3GeqNotGtn]
Ackermann.T3GeqNotLtn [in T3GeqNotLtn]
Ackermann.T3GtnNotLeq [in T3GtnNotLeq]
Ackermann.T3LtnNotGeq [in T3LtnNotGeq]
Ackermann.zero [in zero]
Axioms.nonempty_intro [in nonempty_intro]
C
CantorOrdinal.CompareT1Eq [in CompareT1Eq]CantorOrdinal.CompareT1Gt [in CompareT1Gt]
CantorOrdinal.CompareT1Lt [in CompareT1Lt]
CantorOrdinal.cons [in cons]
CantorOrdinal.T1GeqNotGtn [in T1GeqNotGtn]
CantorOrdinal.T1GeqNotLtn [in T1GeqNotLtn]
CantorOrdinal.T1GtnNotLeq [in T1GtnNotLeq]
CantorOrdinal.T1LtnNotGeq [in T1LtnNotGeq]
CantorOrdinal.zero [in zero]
Constructions.Zorec_c [in Zorec_c]
E
Exercise1.chain_pair [in chain_pair]Exercise1.chain_next [in chain_next]
G
Gamma0.CompareT2Eq [in CompareT2Eq]Gamma0.CompareT2Gt [in CompareT2Gt]
Gamma0.CompareT2Lt [in CompareT2Lt]
Gamma0.cons [in cons]
Gamma0.T2GeqNotGtn [in T2GeqNotGtn]
Gamma0.T2GeqNotLtn [in T2GeqNotLtn]
Gamma0.T2GtnNotLeq [in T2GtnNotLeq]
Gamma0.T2LtnNotGeq [in T2LtnNotGeq]
Gamma0.zero [in zero]
U
Union.Uaux_c [in Uaux_c]Notation Index
A
_ < _ (ak_scope) [in :ak_scope:x_'<'_x]_ > _ (ak_scope) [in :ak_scope:x_'>'_x]
_ >= _ (ak_scope) [in :ak_scope:x_'>='_x]
_ + _ (ak_scope) [in :ak_scope:x_'+'_x]
_ - _ (ak_scope) [in :ak_scope:x_'-'_x]
[ _ , _ , _ ] (ak_scope) [in :ak_scope:'['_x_','_x_','_x_']']
\F _ (ak_scope) [in :ak_scope:'\F'_x]
_ <= _ (ak_scope) [in :ak_scope:x_'<='_x]
_ < _ (cantor_scope) [in :cantor_scope:x_'<'_x]
B
_ =1f _ (fun_scope) [in :fun_scope:x_'=1f'_x]_ \Eq _ [in ::x_'\Eq'_x]
_ \coP _ [in ::x_'\coP'_x]
_ \Is _ [in ::x_'\Is'_x]
_ =1o _ [in ::x_'=1o'_x]
_
_ <=o _ [in ::x_'<=o'_x]
\csup [in ::'\csup']
\opred [in ::'\opred']
\osup [in ::'\osup']
\0c [in ::'\0c']
\0o [in ::'\0o']
\1c [in ::'\1c']
\1o [in ::'\1o']
\2c [in ::'\2c']
\2o [in ::'\2o']
C
_ <= _ (cantor_scope) [in :cantor_scope:x_'<='_x]_ > _ (cantor_scope) [in :cantor_scope:x_'>'_x]
_ ^ _ (cantor_scope) [in :cantor_scope:x_'^'_x]
_ * _ (cantor_scope) [in :cantor_scope:x_'*'_x]
\F _ (cantor_scope) [in :cantor_scope:'\F'_x]
_ + _ (cantor_scope) [in :cantor_scope:x_'+'_x]
_ >= _ (cantor_scope) [in :cantor_scope:x_'>='_x]
_ - _ (cantor_scope) [in :cantor_scope:x_'-'_x]
_ < _ (cantor_scope) [in :cantor_scope:x_'<'_x]
_ +c _ [in ::x_'+c'_x]
_ *c _ [in ::x_'*c'_x]
_ -c _ [in ::x_'-c'_x]
_ ^c _ [in ::x_'^c'_x]
_
_ <=c _ [in ::x_'<=c'_x]
_ \times _ [in ::x_'\times'_x]
_ *s1 _ [in ::x_'*s1'_x]
_ -s _ [in ::x_'-s'_x]
_ -s1 _ [in ::x_'-s1'_x]
_ \co _ [in ::x_'\co'_x]
_ \cg _ [in ::x_'\cg'_x]
E
_ ^O _ [in ::x_'^O'_x]F
__ <=N _ [in ::x_'<=N'_x]
\3c [in ::'\3c']
\4c [in ::'\4c']
_ =1g _ (fun_scope) [in :fun_scope:x_'=1g'_x]
_ \cf _ [in ::x_'\cf'_x]
_ \cfP _ [in ::x_'\cfP'_x]
G
_ < _ (g0_scope) [in :g0_scope:x_'<'_x]_ <= _ (g0_scope) [in :g0_scope:x_'<='_x]
_ > _ (g0_scope) [in :g0_scope:x_'>'_x]
_ + _ (g0_scope) [in :g0_scope:x_'+'_x]
[ _ , _ ] (g0_scope) [in :g0_scope:'['_x_','_x_']']
_ >= _ (g0_scope) [in :g0_scope:x_'>='_x]
_ - _ (g0_scope) [in :g0_scope:x_'-'_x]
\F _ (g0_scope) [in :g0_scope:'\F'_x]
I
_ %/c _ [in ::x_'%/c'_x]_ %|c _ [in ::x_'%|c'_x]
_ %%c _ [in ::x_'%%c'_x]
\10c [in ::'\10c']
_ \cap _ [in ::x_'\cap'_x]
O
_ <=t _ [in ::x_'<=t'_x]_ +t _ [in ::x_'+t'_x]
_ <=O _ [in ::x_'<=O'_x]
_ *t _ [in ::x_'*t'_x]
_ +o _ [in ::x_'+o'_x]
_ *o _ [in ::x_'*o'_x]
_ -o _ [in ::x_'-o'_x]
_ ^o _ [in ::x_'^o'_x]
_ <
_ +#o _ [in ::x_'+#o'_x]
\aleph [in ::'\aleph']
\cf _ [in ::'\cf'_x]
\omega [in ::'\omega']
_ ^
R
_ +z _ [in ::x_'+z'_x]_ %/z _ [in ::x_'%/z'_x]
_ *z _ [in ::x_'*z'_x]
_ %|z _ [in ::x_'%|z'_x]
_ %%z _ [in ::x_'%%z'_x]
_
_ <=z _ [in ::x_'<=z'_x]
_ -z _ [in ::x_'-z'_x]
\0z [in ::'\0z']
\1mz [in ::'\1mz']
\1z [in ::'\1z']
\2z [in ::'\2z']
\3z [in ::'\3z']
\4z [in ::'\4z']
S
'Eu ( _ , _ ) (nat_scope) [in :nat_scope:'''Eu'_'('_x_','_x_')']'St ( _ , _ ) (nat_scope) [in :nat_scope:'''St'_'('_x_','_x_')']
'Sj ( _ , _ ) (nat_scope) [in :nat_scope:'''Sj'_'('_x_','_x_')']
U
_ \cup _ [in ::x_'\cup'_x]_ +s1 _ [in ::x_'+s1'_x]
other
'U ( _ , _ ) (nat_scope) [in :nat_scope:'''U'_'('_x_','_x_')']{ compat _ : _ / _ >-> _ } (type_scope) [in :type_scope:'{'_'compat'_x_':'_x_'/'_x_'>->'_x_'}']
{ when _ & , _ } (type_scope) [in :type_scope:'{'_'when'_x_'&'_','_x_'}']
{ when _ & _ , _ } (type_scope) [in :type_scope:'{'_'when'_x_'&'_x_','_x_'}']
{ compat _ : _ & / _ } (type_scope) [in :type_scope:'{'_'compat'_x_':'_x_'&'_'/'_x_'}']
{ when : _ , _ } (type_scope) [in :type_scope:'{'_'when'_':'_x_','_x_'}']
{ compat _ : _ _ / _ } (type_scope) [in :type_scope:'{'_'compat'_x_':'_x_x_'/'_x_'}']
{ compat _ : _ _ / _ >-> _ } (type_scope) [in :type_scope:'{'_'compat'_x_':'_x_x_'/'_x_'>->'_x_'}']
{ compat _ : _ / _ } (type_scope) [in :type_scope:'{'_'compat'_x_':'_x_'/'_x_'}']
{ inc _ & _ , _ } (type_scope) [in :type_scope:'{'_'inc'_x_'&'_x_','_x_'}']
{ when _ , _ } (type_scope) [in :type_scope:'{'_'when'_x_','_x_'}']
{ inc _ & , _ } (type_scope) [in :type_scope:'{'_'inc'_x_'&'_','_x_'}']
{ compat _ : _ & / _ >-> _ } (type_scope) [in :type_scope:'{'_'compat'_x_':'_x_'&'_'/'_x_'>->'_x_'}']
{ inc _ , _ } (type_scope) [in :type_scope:'{'_'inc'_x_','_x_'}']
Abbreviation Index
A
Ackermann.Tf [in Tf]B
Bordinal.cardinal [in cardinal]C
CantorOrdinal.Tf [in Tf]N
NumberSums.C [in C]O
Ordinals3.CNF_coefficients [in CNF_coefficients]P
Pair.J [in J]Pair.P [in P]
Pair.Q [in Q]
Inductive Index
A
Ackermann.compare_T3 [in compare_T3]Ackermann.T3 [in T3]
Ackermann.T3leq_xor_gtn [in T3leq_xor_gtn]
Ackermann.T3ltn_xor_geq [in T3ltn_xor_geq]
Axioms.nonempty [in nonempty]
C
CantorOrdinal.compare_T1 [in compare_T1]CantorOrdinal.T1 [in T1]
CantorOrdinal.T1leq_xor_gtn [in T1leq_xor_gtn]
CantorOrdinal.T1ltn_xor_geq [in T1ltn_xor_geq]
Constructions.emptyset [in emptyset]
Constructions.Zorec [in Zorec]
E
Exercise1.chain [in chain]G
Gamma0.compare_T2 [in compare_T2]Gamma0.T2 [in T2]
Gamma0.T2leq_xor_gtn [in T2leq_xor_gtn]
Gamma0.T2ltn_xor_geq [in T2ltn_xor_geq]
U
Union.Uaux [in Uaux]Definition Index
A
Ackermann.all_zero [in all_zero]Ackermann.epsilon0 [in epsilon0]
Ackermann.limit_of [in limit_of]
Ackermann.limit12_hyp [in limit12_hyp]
Ackermann.lt_psi [in lt_psi]
Ackermann.lt_rec [in lt_rec]
Ackermann.lt_psi_rec [in lt_psi_rec]
Ackermann.normal [in normal]
Ackermann.omega [in omega]
Ackermann.one [in one]
Ackermann.phi [in phi]
Ackermann.phia [in phia]
Ackermann.phi_rec [in phi_rec]
Ackermann.phi_rec_psi [in phi_rec_psi]
Ackermann.phi0 [in phi0]
Ackermann.phi1 [in phi1]
Ackermann.phi10 [in phi10]
Ackermann.phi11 [in phi11]
Ackermann.phi12a [in phi12a]
Ackermann.phi12b2 [in phi12b2]
Ackermann.phi12b3 [in phi12b3]
Ackermann.phi12b4 [in phi12b4]
Ackermann.phi12b5 [in phi12b5]
Ackermann.phi3 [in phi3]
Ackermann.phi4 [in phi4]
Ackermann.phi5 [in phi5]
Ackermann.phi6 [in phi6]
Ackermann.phi7 [in phi7]
Ackermann.phi8 [in phi8]
Ackermann.phi9 [in phi9]
Ackermann.psi_succ [in psi_succ]
Ackermann.size [in size]
Ackermann.sup_of [in sup_of]
Ackermann.T1_T3 [in T1_T3]
Ackermann.T3add [in T3add]
Ackermann.T3ap [in T3ap]
Ackermann.T3bad [in T3bad]
Ackermann.T3eq [in T3eq]
Ackermann.T3finite [in T3finite]
Ackermann.T3is_succ [in T3is_succ]
Ackermann.T3le [in T3le]
Ackermann.T3limit [in T3limit]
Ackermann.T3lt [in T3lt]
Ackermann.T3lta [in T3lta]
Ackermann.T3nat [in T3nat]
Ackermann.T3nf [in T3nf]
Ackermann.T3pred [in T3pred]
Ackermann.T3split [in T3split]
Ackermann.T3sub [in T3sub]
Ackermann.T3succ [in T3succ]
Ackermann.T3_eqMixin [in T3_eqMixin]
Ackermann.T3_eqType [in T3_eqType]
Axioms.antisymmetric_r [in antisymmetric_r]
Axioms.exactly_one [in exactly_one]
Axioms.fterm [in fterm]
Axioms.fterm2 [in fterm2]
Axioms.inc [in inc]
Axioms.property [in property]
Axioms.reflexive_r [in reflexive_r]
Axioms.relation [in relation]
Axioms.singl_val [in singl_val]
Axioms.singl_val_fp [in singl_val_fp]
Axioms.singl_val2 [in singl_val2]
Axioms.ssub [in ssub]
Axioms.sub [in sub]
Axioms.symmetric_r [in symmetric_r]
Axioms.transitive_r [in transitive_r]
B
Bell [in Bell]Bfunction.acreate [in acreate]
Bfunction.agreeC [in agreeC]
Bfunction.agrees_on [in agrees_on]
Bfunction.bcreate [in bcreate]
Bfunction.bcreate1 [in bcreate1]
Bfunction.bijection [in bijection]
Bfunction.bijection_prop [in bijection_prop]
Bfunction.bijectiveC [in bijectiveC]
Bfunction.canonical_injection [in canonical_injection]
Bfunction.composable [in composable]
Bfunction.constantfp [in constantfp]
Bfunction.constantgp [in constantgp]
Bfunction.constantp [in constantp]
Bfunction.constant_function [in constant_function]
Bfunction.cstfp [in cstfp]
Bfunction.cstgp [in cstgp]
Bfunction.diagonal_application [in diagonal_application]
Bfunction.empty_function_tg [in empty_function_tg]
Bfunction.empty_functionCt [in empty_functionCt]
Bfunction.empty_functionC [in empty_functionC]
Bfunction.empty_function [in empty_function]
Bfunction.equipotent [in equipotent]
Bfunction.extends [in extends]
Bfunction.extendsC [in extendsC]
Bfunction.extension [in extension]
Bfunction.ext_to_prod [in ext_to_prod]
Bfunction.ext_to_prodC [in ext_to_prodC]
Bfunction.first_proj [in first_proj]
Bfunction.function [in function]
Bfunction.functional_graph [in functional_graph]
Bfunction.function_prop [in function_prop]
Bfunction.gacreate [in gacreate]
Bfunction.identityC [in identityC]
Bfunction.imageC [in imageC]
Bfunction.inclusionC [in inclusionC]
Bfunction.injection [in injection]
Bfunction.injection_prop [in injection_prop]
Bfunction.injectiveC [in injectiveC]
Bfunction.inverseC [in inverseC]
Bfunction.is_left_inverseC [in is_left_inverseC]
Bfunction.is_right_inverse [in is_right_inverse]
Bfunction.is_left_inverse [in is_left_inverse]
Bfunction.is_right_inverseC [in is_right_inverseC]
Bfunction.left_inverseC [in left_inverseC]
Bfunction.Lf [in Lf]
Bfunction.lf_axiom [in lf_axiom]
Bfunction.pairC [in pairC]
Bfunction.partial_fun1 [in partial_fun1]
Bfunction.partial_fun2 [in partial_fun2]
Bfunction.pr1C [in pr1C]
Bfunction.pr2C [in pr2C]
Bfunction.restriction [in restriction]
Bfunction.restrictionC [in restrictionC]
Bfunction.restriction_to_image [in restriction_to_image]
Bfunction.restriction_to_imageC [in restriction_to_imageC]
Bfunction.restriction1 [in restriction1]
Bfunction.restriction2 [in restriction2]
Bfunction.restriction2C [in restriction2C]
Bfunction.restriction2_axioms [in restriction2_axioms]
Bfunction.right_inverseC [in right_inverseC]
Bfunction.same_Vf [in same_Vf]
Bfunction.second_proj [in second_proj]
Bfunction.surjection [in surjection]
Bfunction.surjection_prop [in surjection_prop]
Bfunction.surjectiveC [in surjectiveC]
Bfunction.Vf [in Vf]
Border.bounded_both [in bounded_both]
Border.bounded_below [in bounded_below]
Border.bounded_above [in bounded_above]
Border.bounded_interval [in bounded_interval]
Border.closed_interval [in closed_interval]
Border.coarser [in coarser]
Border.coarser_preorder [in coarser_preorder]
Border.cofinal [in cofinal]
Border.coinitial [in coinitial]
Border.decreasing_fun [in decreasing_fun]
Border.equivalence_associated_o [in equivalence_associated_o]
Border.extension_order [in extension_order]
Border.fam_of_substrates [in fam_of_substrates]
Border.fgraphs [in fgraphs]
Border.fincr_prop [in fincr_prop]
Border.fiso_prop [in fiso_prop]
Border.fsincr_prop [in fsincr_prop]
Border.fsiso_prop [in fsiso_prop]
Border.gle [in gle]
Border.glt [in glt]
Border.graph_of_function [in graph_of_function]
Border.graph_of_partition [in graph_of_partition]
Border.greatest [in greatest]
Border.greatest_lower_bound [in greatest_lower_bound]
Border.has_sup_graph [in has_sup_graph]
Border.has_inf_graph [in has_inf_graph]
Border.has_supremum [in has_supremum]
Border.has_infimum [in has_infimum]
Border.increasing_fun [in increasing_fun]
Border.induced_order [in induced_order]
Border.inf [in inf]
Border.infimum [in infimum]
Border.inf_graph [in inf_graph]
Border.interval [in interval]
Border.interval_cc [in interval_cc]
Border.interval_co [in interval_co]
Border.interval_cu [in interval_cu]
Border.interval_oc [in interval_oc]
Border.interval_oo [in interval_oo]
Border.interval_ou [in interval_ou]
Border.interval_uc [in interval_uc]
Border.interval_uo [in interval_uo]
Border.interval_uu [in interval_uu]
Border.is_inf_graph [in is_inf_graph]
Border.is_sup_graph [in is_sup_graph]
Border.is_inf_fun [in is_inf_fun]
Border.is_sup_fun [in is_sup_fun]
Border.lattice [in lattice]
Border.least [in least]
Border.least_upper_bound [in least_upper_bound]
Border.left_directed [in left_directed]
Border.left_unbounded_interval [in left_unbounded_interval]
Border.lower_bound [in lower_bound]
Border.lu_interval [in lu_interval]
Border.maximal [in maximal]
Border.minimal [in minimal]
Border.monotone_fun [in monotone_fun]
Border.ocomparable [in ocomparable]
Border.open_interval [in open_interval]
Border.opposite_relation [in opposite_relation]
Border.opp_order [in opp_order]
Border.order_associated [in order_associated]
Border.order_function [in order_function]
Border.order_with_greatest [in order_with_greatest]
Border.order_graph [in order_graph]
Border.order_graph_r [in order_graph_r]
Border.order_morphism [in order_morphism]
Border.order_isomorphism [in order_isomorphism]
Border.order_isomorphic [in order_isomorphic]
Border.order_axioms [in order_axioms]
Border.order_product2 [in order_product2]
Border.order_product [in order_product]
Border.order_product_r [in order_product_r]
Border.order_function_r [in order_function_r]
Border.order_fam [in order_fam]
Border.partial_fun [in partial_fun]
Border.partitions [in partitions]
Border.partition_relset [in partition_relset]
Border.partition_relset_aux [in partition_relset_aux]
Border.part_fun [in part_fun]
Border.preorders [in preorders]
Border.preorder_on [in preorder_on]
Border.prod_of_substrates [in prod_of_substrates]
Border.right_unbounded_interval [in right_unbounded_interval]
Border.right_directed [in right_directed]
Border.ru_interval [in ru_interval]
Border.semi_open_interval [in semi_open_interval]
Border.set_of_upper_bounds1 [in set_of_upper_bounds1]
Border.strict_monotone_fun [in strict_monotone_fun]
Border.strict_increasing_fun [in strict_increasing_fun]
Border.strict_decreasing_fun [in strict_decreasing_fun]
Border.subp_order [in subp_order]
Border.sub_order [in sub_order]
Border.sup [in sup]
Border.supremum [in supremum]
Border.sup_graph [in sup_graph]
Border.symmetrize [in symmetrize]
Border.the_greatest [in the_greatest]
Border.the_least [in the_least]
Border.total_order [in total_order]
Border.unbounded_interval [in unbounded_interval]
Border.upper_bound [in upper_bound]
Bordinal.asymmetric_set [in asymmetric_set]
Bordinal.cardinalp [in cardinalp]
Bordinal.cardinalV [in cardinalV]
Bordinal.cardinalV_prop [in cardinalV_prop]
Bordinal.cardinal_fam [in cardinal_fam]
Bordinal.cardinal_set [in cardinal_set]
Bordinal.Cardinal.cardinal [in cardinal]
Bordinal.card_one [in card_one]
Bordinal.card_zero [in card_zero]
Bordinal.card_two [in card_two]
Bordinal.decent_set [in decent_set]
Bordinal.finite_set [in finite_set]
Bordinal.finite_c [in finite_c]
Bordinal.finite_o [in finite_o]
Bordinal.infinite_c [in infinite_c]
Bordinal.infinite_o [in infinite_o]
Bordinal.infinite_set [in infinite_set]
Bordinal.least_ordinal [in least_ordinal]
Bordinal.limit_ordinal [in limit_ordinal]
Bordinal.omega0 [in omega0]
Bordinal.order_le [in order_le]
Bordinal.ordinal [in ordinal]
Bordinal.ordinalp [in ordinalp]
Bordinal.ordinal_leD1 [in ordinal_leD1]
Bordinal.ordinal_set [in ordinal_set]
Bordinal.ordinal_o [in ordinal_o]
Bordinal.ordinal_fam [in ordinal_fam]
Bordinal.ordinal_le [in ordinal_le]
Bordinal.ordinal_lt [in ordinal_lt]
Bordinal.ordinal_oa [in ordinal_oa]
Bordinal.ordinal_ub [in ordinal_ub]
Bordinal.ord_zero [in ord_zero]
Bordinal.ord_one [in ord_one]
Bordinal.ord_two [in ord_two]
Bordinal.succ [in succ]
Bordinal.succ_op [in succ_op]
Bordinal.succ_o [in succ_o]
Bordinal.the_ordinal_iso [in the_ordinal_iso]
Bordinal.transitive_set [in transitive_set]
Bordinal.trans_dec_set [in trans_dec_set]
Bproduct.constant_functor [in constant_functor]
Bproduct.diagonal_graphp [in diagonal_graphp]
Bproduct.ext_map_prod_aux [in ext_map_prod_aux]
Bproduct.ext_map_prod [in ext_map_prod]
Bproduct.ext_map_prod_axioms [in ext_map_prod_axioms]
Bproduct.fun_set_to_prod5 [in fun_set_to_prod5]
Bproduct.fun_set_to_prod [in fun_set_to_prod]
Bproduct.productb [in productb]
Bproduct.productf [in productf]
Bproduct.product_compose [in product_compose]
Bproduct.product1 [in product1]
Bproduct.product1_canon [in product1_canon]
Bproduct.product2 [in product2]
Bproduct.product2_canon [in product2_canon]
Bproduct.prod_assoc_map [in prod_assoc_map]
Bproduct.prod_of_fgraph [in prod_of_fgraph]
Bproduct.prod_of_product_aux [in prod_of_product_aux]
Bproduct.prod_of_products [in prod_of_products]
Bproduct.prod_of_prod_target [in prod_of_prod_target]
Bproduct.prod_assoc_axioms [in prod_assoc_axioms]
Bproduct.prod_of_products_canon [in prod_of_products_canon]
Bproduct.pr_i [in pr_i]
Bproduct.pr_j [in pr_j]
Bproduct.restriction_product [in restriction_product]
br [in br]
Bunion.canonical_du2 [in canonical_du2]
Bunion.coarser_cg [in coarser_cg]
Bunion.coarser_cs [in coarser_cs]
Bunion.common_ext [in common_ext]
Bunion.compose3function [in compose3function]
Bunion.covering [in covering]
Bunion.covering_s [in covering_s]
Bunion.cover_at [in cover_at]
Bunion.disjointU [in disjointU]
Bunion.disjointU_fam [in disjointU_fam]
Bunion.extension_to_parts [in extension_to_parts]
Bunion.first_partial_map [in first_partial_map]
Bunion.first_partial_fun [in first_partial_fun]
Bunion.first_partial_function [in first_partial_function]
Bunion.functions [in functions]
Bunion.function_prop_sub [in function_prop_sub]
Bunion.gfunctions [in gfunctions]
Bunion.greatest_partition [in greatest_partition]
Bunion.injective_graph [in injective_graph]
Bunion.intersectionb [in intersectionb]
Bunion.intersectionf [in intersectionf]
Bunion.intersectiont [in intersectiont]
Bunion.intersection_covering2 [in intersection_covering2]
Bunion.intersection_covering [in intersection_covering]
Bunion.least_partition [in least_partition]
Bunion.mutually_disjoint [in mutually_disjoint]
Bunion.nonempty_fam [in nonempty_fam]
Bunion.partial_fun_axiom [in partial_fun_axiom]
Bunion.partition_with_complement [in partition_with_complement]
Bunion.partition_s [in partition_s]
Bunion.partition_w [in partition_w]
Bunion.partition_s_fam [in partition_s_fam]
Bunion.partition_w_fam [in partition_w_fam]
Bunion.permutations [in permutations]
Bunion.second_partial_function [in second_partial_function]
Bunion.second_partial_map [in second_partial_map]
Bunion.second_partial_fun [in second_partial_fun]
Bunion.sub_functions [in sub_functions]
Bunion.unionb [in unionb]
Bunion.unionf [in unionf]
Bunion.variant [in variant]
Bunion.varianti [in varianti]
Bunion.variantL [in variantL]
Bunion.variantLc [in variantLc]
C
CantorOrdinal.exp_F [in exp_F]CantorOrdinal.exp_O [in exp_O]
CantorOrdinal.ex_middle [in ex_middle]
CantorOrdinal.limit_of [in limit_of]
CantorOrdinal.limit_v1 [in limit_v1]
CantorOrdinal.limit_v2 [in limit_v2]
CantorOrdinal.limit_fct [in limit_fct]
CantorOrdinal.normal [in normal]
CantorOrdinal.omega_tower [in omega_tower]
CantorOrdinal.omega_plus_n [in omega_plus_n]
CantorOrdinal.one [in one]
CantorOrdinal.phi0 [in phi0]
CantorOrdinal.phi1 [in phi1]
CantorOrdinal.phi2 [in phi2]
CantorOrdinal.phi3 [in phi3]
CantorOrdinal.sup [in sup]
CantorOrdinal.toNF [in toNF]
CantorOrdinal.T1add [in T1add]
CantorOrdinal.T1ap [in T1ap]
CantorOrdinal.T1bad [in T1bad]
CantorOrdinal.T1div_by_omega [in T1div_by_omega]
CantorOrdinal.T1eq [in T1eq]
CantorOrdinal.T1exp [in T1exp]
CantorOrdinal.T1finite [in T1finite]
CantorOrdinal.T1is_succ [in T1is_succ]
CantorOrdinal.T1le [in T1le]
CantorOrdinal.T1limit [in T1limit]
CantorOrdinal.T1log [in T1log]
CantorOrdinal.T1lt [in T1lt]
CantorOrdinal.T1mul [in T1mul]
CantorOrdinal.T1nat [in T1nat]
CantorOrdinal.T1nf [in T1nf]
CantorOrdinal.T1omega [in T1omega]
CantorOrdinal.T1pred [in T1pred]
CantorOrdinal.T1split [in T1split]
CantorOrdinal.T1sub [in T1sub]
CantorOrdinal.T1succ [in T1succ]
CantorOrdinal.T1_eqType [in T1_eqType]
CantorOrdinal.T1_eqMixin [in T1_eqMixin]
CardinalOps.card_nz_fam [in card_nz_fam]
CardinalOps.card_prod [in card_prod]
CardinalOps.card_prod2 [in card_prod2]
CardinalOps.card_prodb [in card_prodb]
CardinalOps.card_pow [in card_pow]
CardinalOps.card_sum [in card_sum]
CardinalOps.card_diff [in card_diff]
CardinalOps.card_sum2 [in card_sum2]
CardinalOps.card_sumb [in card_sumb]
CardinalOps.char_fun [in char_fun]
CardinalOps.quasi_bij [in quasi_bij]
CardinalOps.succ_c [in succ_c]
Cardinal.cardinals_le [in cardinals_le]
Cardinal.cardinals_lt [in cardinals_lt]
Cardinal.cardinal_le [in cardinal_le]
Cardinal.cardinal_lt [in cardinal_lt]
Cardinal.doubleton_fam [in doubleton_fam]
Cardinal.equipotent_ex [in equipotent_ex]
Cardinal.equipotent_to_subset [in equipotent_to_subset]
Cardinal.fgraphs_equipotent [in fgraphs_equipotent]
Cartesian.coarse [in coarse]
Cartesian.indexed [in indexed]
Cartesian.indexedr [in indexedr]
Cartesian.product [in product]
cfn2 [in cfn2]
cfn2_rec [in cfn2_rec]
commutes [in commutes]
commutes_at [in commutes_at]
compatible_1 [in compatible_1]
compatible_2 [in compatible_2]
compatible_3 [in compatible_3]
Complement.complement [in complement]
Constructions.Bo [in Bo]
Constructions.choose [in choose]
Constructions.empty [in empty]
Constructions.rep [in rep]
Constructions.Zo [in Zo]
Correspondence.composableC [in composableC]
Correspondence.compose [in compose]
Correspondence.composeg [in composeg]
Correspondence.correspondence [in correspondence]
Correspondence.correspondences [in correspondences]
Correspondence.diagonal [in diagonal]
Correspondence.direct_image [in direct_image]
Correspondence.graph [in graph]
Correspondence.identity [in identity]
Correspondence.image_by_fun [in image_by_fun]
Correspondence.image_of_fun [in image_of_fun]
Correspondence.im_of_singleton [in im_of_singleton]
Correspondence.inverse_fun [in inverse_fun]
Correspondence.inverse_graph [in inverse_graph]
Correspondence.inverse_image [in inverse_image]
Correspondence.inv_image_by_fun [in inv_image_by_fun]
Correspondence.source [in source]
Correspondence.target [in target]
Correspondence.triple [in triple]
Correspondence.triplep [in triplep]
D
derange [in derange]der_rec [in der_rec]
E
euler [in euler]euler_rec [in euler_rec]
Exercise1.Cab [in Cab]
Exercise1.chained_r [in chained_r]
Exercise1.chain_reverse [in chain_reverse]
Exercise1.chain_tail [in chain_tail]
Exercise1.chain_head [in chain_head]
Exercise1.complement_graph [in complement_graph]
Exercise1.concat_chain [in concat_chain]
Exercise1.connected_comp [in connected_comp]
Exercise1.exercise6_11b_rel [in exercise6_11b_rel]
Exercise1.exercise6_11b_assumption [in exercise6_11b_assumption]
Exercise1.graph_morph [in graph_morph]
Exercise1.has_no_graph [in has_no_graph]
Exercise1.intersection_with [in intersection_with]
Exercise1.intersection_with_canon [in intersection_with_canon]
Exercise1.intransitive1 [in intransitive1]
Exercise1.is_constituant [in is_constituant]
Exercise1.is_universal [in is_universal]
Exercise1.reconc_chain [in reconc_chain]
Exercise1.relS [in relS]
Exercise1.setF [in setF]
Exercise1.Sgraph [in Sgraph]
Exercise1.special_equivalence [in special_equivalence]
Exercise1.stableR [in stableR]
Exercise1.xpair [in xpair]
Exercise2_aux.example_worder [in example_worder]
Exercise2.anti_directed [in anti_directed]
Exercise2.bar1_22 [in bar1_22]
Exercise2.big_set3 [in big_set3]
Exercise2.boolean_lattice [in boolean_lattice]
Exercise2.branched [in branched]
Exercise2.canonical_reg_open [in canonical_reg_open]
Exercise2.cantor_tri_sub [in cantor_tri_sub]
Exercise2.cantor_tri_order [in cantor_tri_order]
Exercise2.closure [in closure]
Exercise2.complement_pr [in complement_pr]
Exercise2.complete_lattice [in complete_lattice]
Exercise2.completion [in completion]
Exercise2.completion_order [in completion_order]
Exercise2.cr_equiv [in cr_equiv]
Exercise2.cr_component [in cr_component]
Exercise2.disjointU_function [in disjointU_function]
Exercise2.distributive_lattice1 [in distributive_lattice1]
Exercise2.distributive_lattice2 [in distributive_lattice2]
Exercise2.distributive_lattice3 [in distributive_lattice3]
Exercise2.distributive_lattice4 [in distributive_lattice4]
Exercise2.distributive_lattice5 [in distributive_lattice5]
Exercise2.distributive_lattice6 [in distributive_lattice6]
Exercise2.Exercise1_10_counterexample [in Exercise1_10_counterexample]
Exercise2.Exercise1_20_prop [in Exercise1_20_prop]
Exercise2.Ex1_2_hC [in Ex1_2_hC]
Exercise2.Ex1_2_hD [in Ex1_2_hD]
Exercise2.Ex1_2_hC' [in Ex1_2_hC']
Exercise2.Ex1_2_hD' [in Ex1_2_hD']
Exercise2.Ex1_2_strong_l [in Ex1_2_strong_l]
Exercise2.Ex1_2_strong_r [in Ex1_2_strong_r]
Exercise2.E13_H1 [in E13_H1]
Exercise2.E13_H2 [in E13_H2]
Exercise2.E13_sF [in E13_sF]
Exercise2.E13_F [in E13_F]
Exercise2.E13_S [in E13_S]
Exercise2.E13_lam [in E13_lam]
Exercise2.first_projection [in first_projection]
Exercise2.free_subset_compare [in free_subset_compare]
Exercise2.free_subset [in free_subset]
Exercise2.free_subset_order [in free_subset_order]
Exercise2.free_subsets [in free_subsets]
Exercise2.greatest_induced [in greatest_induced]
Exercise2.increasing_mappings [in increasing_mappings]
Exercise2.increasing_pre [in increasing_pre]
Exercise2.increasing_mappings_order [in increasing_mappings_order]
Exercise2.intersection_partition2 [in intersection_partition2]
Exercise2.intersection_partition [in intersection_partition]
Exercise2.invariants [in invariants]
Exercise2.least_induced [in least_induced]
Exercise2.lo_bounds [in lo_bounds]
Exercise2.ncr_equiv [in ncr_equiv]
Exercise2.ncr_component [in ncr_component]
Exercise2.not_comp_rel [in not_comp_rel]
Exercise2.nregs_order [in nregs_order]
Exercise2.nreg_opens [in nreg_opens]
Exercise2.Nstar [in Nstar]
Exercise2.open_o [in open_o]
Exercise2.open_r [in open_r]
Exercise2.orsum_ax2 [in orsum_ax2]
Exercise2.preorder_isomorphism [in preorder_isomorphism]
Exercise2.preorder_quo_axioms [in preorder_quo_axioms]
Exercise2.Qpair [in Qpair]
Exercise2.Qpairi [in Qpairi]
Exercise2.Qpairis [in Qpairis]
Exercise2.Qpairi_o [in Qpairi_o]
Exercise2.Qplus [in Qplus]
Exercise2.Qplus_eq_r [in Qplus_eq_r]
Exercise2.Qplus_eq [in Qplus_eq]
Exercise2.Qplus_or [in Qplus_or]
Exercise2.Qplus1 [in Qplus1]
Exercise2.Qplus1_le_r [in Qplus1_le_r]
Exercise2.quotient_order [in quotient_order]
Exercise2.quotient_order_r [in quotient_order_r]
Exercise2.reg_open_order [in reg_open_order]
Exercise2.reg_opens [in reg_opens]
Exercise2.relatively_complemented [in relatively_complemented]
Exercise2.scattered [in scattered]
Exercise2.scattered_equiv [in scattered_equiv]
Exercise2.scattered_rel [in scattered_rel]
Exercise2.scattered_aux [in scattered_aux]
Exercise2.secnd_projection [in secnd_projection]
Exercise2.second_partial_map2 [in second_partial_map2]
Exercise2.standard_completion [in standard_completion]
Exercise2.the_complement [in the_complement]
Exercise2.two_projections [in two_projections]
Exercise2.two_projections_increasing [in two_projections_increasing]
Exercise2.uplo_bounds [in uplo_bounds]
Exercise2.upper_bounds [in upper_bounds]
Exercise2.up_bounds [in up_bounds]
Exercise2.weak_order_compatibility [in weak_order_compatibility]
Exercise2.without_gaps [in without_gaps]
Exercise3.bigS [in bigS]
Exercise3.chainx [in chainx]
Exercise3.closures [in closures]
Exercise3.closure_ordering [in closure_ordering]
Exercise3.Exercise2_8a_R [in Exercise2_8a_R]
Exercise3.extension_to_NNstar [in extension_to_NNstar]
Exercise3.ex23_prop [in ex23_prop]
Exercise3.fam_card_sub [in fam_card_sub]
Exercise3.finer_order [in finer_order]
Exercise3.finite_subsets_prop [in finite_subsets_prop]
Exercise3.finite_subsets [in finite_subsets]
Exercise3.finv [in finv]
Exercise3.Ixf [in Ixf]
Exercise3.Jf [in Jf]
Exercise3.NNstar [in NNstar]
Exercise3.olex [in olex]
Exercise3.olexp [in olexp]
Exercise3.olexp_lE [in olexp_lE]
Exercise3.olexp_G [in olexp_G]
Exercise3.olexp_I [in olexp_I]
Exercise3.olexp_g [in olexp_g]
Exercise3.olexp' [in olexp']
Exercise3.olex_ax [in olex_ax]
Exercise3.olex_io [in olex_io]
Exercise3.olex_comp1_r [in olex_comp1_r]
Exercise3.olex_nsv [in olex_nsv]
Exercise3.olex_comp2_r [in olex_comp2_r]
Exercise3.orders [in orders]
Exercise3.ord_powa [in ord_powa]
Exercise3.ramified [in ramified]
Exercise3.ramifiedc [in ramifiedc]
Exercise4.all_uncomp_inP [in all_uncomp_inP]
Exercise4.Exercise4_5_conc [in Exercise4_5_conc]
Exercise4.Exercise4_5_hyp [in Exercise4_5_hyp]
Exercise4.Ex4_10_hyp [in Ex4_10_hyp]
Exercise4.Ex4_10_conc [in Ex4_10_conc]
Exercise4.Ex4_11EM [in Ex4_11EM]
Exercise4.E46b_hyp [in E46b_hyp]
Exercise4.E46b_conc [in E46b_conc]
Exercise4.E46c_hyp [in E46c_hyp]
Exercise4.E46c_conc [in E46c_conc]
Exercise4.E46_order_rel [in E46_order_rel]
Exercise4.E46_hp [in E46_hp]
Exercise4.E46_u [in E46_u]
Exercise4.E46_order_r [in E46_order_r]
Exercise4.E46_hprop [in E46_hprop]
Exercise4.E46_conc [in E46_conc]
Exercise4.E47S [in E47S]
Exercise4.E48AJI [in E48AJI]
Exercise4.E48AJImo [in E48AJImo]
Exercise4.E48AJIo [in E48AJIo]
Exercise4.E48API [in E48API]
Exercise4.E48APIo [in E48APIo]
Exercise4.E48I [in E48I]
Exercise4.E48Io [in E48Io]
Exercise4.E48Js [in E48Js]
Exercise4.E48P [in E48P]
Exercise4.E48Ps [in E48Ps]
Exercise4.E48z [in E48z]
Exercise4.irreds [in irreds]
Exercise4.max_pure [in max_pure]
Exercise4.meet [in meet]
Exercise4.minimals [in minimals]
Exercise4.minimal_in_int [in minimal_in_int]
Exercise4.min_incl_r [in min_incl_r]
Exercise4.mobile_ext [in mobile_ext]
Exercise4.mobile_r [in mobile_r]
Exercise4.mobile_alt [in mobile_alt]
Exercise4.orthogonal_order [in orthogonal_order]
Exercise4.ppr8_hyp [in ppr8_hyp]
Exercise4.ppr8_conc [in ppr8_conc]
Exercise4.pure [in pure]
Exercise4.pure_prop1 [in pure_prop1]
Exercise4.pure_prop2 [in pure_prop2]
Exercise4.pure_prop3 [in pure_prop3]
Exercise4.pure_prop4 [in pure_prop4]
Exercise4.pure_prop5 [in pure_prop5]
Exercise4.set_of_pure [in set_of_pure]
Exercise4.shift_mod_n [in shift_mod_n]
Exercise4.sublattice [in sublattice]
Exercise4.sup_irred [in sup_irred]
Exercise5.Bell_number [in Bell_number]
Exercise5.b_critical [in b_critical]
Exercise5.chain_val [in chain_val]
Exercise5.derangements [in derangements]
Exercise5.even_card_sub [in even_card_sub]
Exercise5.even_card0_sub [in even_card0_sub]
Exercise5.Exercise5_5_conc_aux [in Exercise5_5_conc_aux]
Exercise5.Exercise5_5_conc [in Exercise5_5_conc]
Exercise5.Ex6_12_ax [in Ex6_12_ax]
Exercise5.Ex6_12_c [in Ex6_12_c]
Exercise5.Ex6_12_e [in Ex6_12_e]
Exercise5.Ex6_12_v [in Ex6_12_v]
Exercise5.nbder [in nbder]
Exercise5.nbpart [in nbpart]
Exercise5.nbsurj [in nbsurj]
Exercise5.odd_card_sub [in odd_card_sub]
Exercise5.partitionsx [in partitionsx]
Exercise5.sub_chain [in sub_chain]
Exercise5.surjections [in surjections]
Exercise5.the_cnf_expos_rec [in the_cnf_expos_rec]
Exercise5.the_cnf_len [in the_cnf_len]
Exercise5.the_cnf_expos_rec_nc [in the_cnf_expos_rec_nc]
Exercise5.the_cnf_expos [in the_cnf_expos]
Exercise5.zbijective [in zbijective]
Exercise5.zequiv [in zequiv]
Exercise5.ziequivalent [in ziequivalent]
Exercise5.zmap [in zmap]
Exercise5.zmap_aux [in zmap_aux]
Exercise5.zmap_val [in zmap_val]
Exercise5.zpr [in zpr]
Exercise5.zprod [in zprod]
Exercise5.zprod2 [in zprod2]
Exercise6.csup_s [in csup_s]
Exercise6.disjointness_degree [in disjointness_degree]
Exercise6.Ex6_33_conc [in Ex6_33_conc]
Exercise6.E6_33_M [in E6_33_M]
Exercise6.E6_33_X [in E6_33_X]
Exercise6.E6_33_c [in E6_33_c]
Exercise6.E6_33_r [in E6_33_r]
Exercise6.E6_33_x [in E6_33_x]
Exercise6.E6_33_y [in E6_33_y]
Exercise6.E6_33_N0 [in E6_33_N0]
Exercise6.E6_33_Mi [in E6_33_Mi]
Exercise6.E6_33_al [in E6_33_al]
Exercise6.E6_33_rho [in E6_33_rho]
Exercise6.Noetherian [in Noetherian]
Exercise6.Noetherian_set [in Noetherian_set]
Exercise6.restriction_to_segmentA [in restriction_to_segmentA]
F
FiniteSets.Bnat [in Bnat]FiniteSets.Bnat_le [in Bnat_le]
FiniteSets.Bnat_lt [in Bnat_lt]
FiniteSets.Bnat_order [in Bnat_order]
FiniteSets.card_four [in card_four]
FiniteSets.card_three [in card_three]
FiniteSets.cpred [in cpred]
FiniteSets.finite_character [in finite_character]
FiniteSets.nat_to_B [in nat_to_B]
FiniteSets.ordinal_pair [in ordinal_pair]
FiniteSets.ord_pair_le [in ord_pair_le]
Ftype [in Ftype]
Function.action_prop [in action_prop]
Function.allf [in allf]
Function.composablef [in composablef]
Function.composef [in composef]
Function.cst_graph [in cst_graph]
Function.domain [in domain]
Function.fgraph [in fgraph]
Function.identity_g [in identity_g]
Function.Lg [in Lg]
Function.range [in range]
Function.related [in related]
Function.restr [in restr]
Function.same_Vg [in same_Vg]
Function.sgraph [in sgraph]
Function.Vg [in Vg]
G
Gamma0.epsilon0 [in epsilon0]Gamma0.lt_psi [in lt_psi]
Gamma0.lt_rec [in lt_rec]
Gamma0.omega [in omega]
Gamma0.one [in one]
Gamma0.phi [in phi]
Gamma0.psi [in psi]
Gamma0.psi_phi_aux [in psi_phi_aux]
Gamma0.psi_phi [in psi_phi]
Gamma0.size [in size]
Gamma0.T1T2 [in T1T2]
Gamma0.T2add [in T2add]
Gamma0.T2ap [in T2ap]
Gamma0.T2eq [in T2eq]
Gamma0.T2finite [in T2finite]
Gamma0.T2finite1 [in T2finite1]
Gamma0.T2is_succ [in T2is_succ]
Gamma0.T2le [in T2le]
Gamma0.T2limit [in T2limit]
Gamma0.T2lt [in T2lt]
Gamma0.T2lta [in T2lta]
Gamma0.T2nat [in T2nat]
Gamma0.T2nf [in T2nf]
Gamma0.T2pred [in T2pred]
Gamma0.T2split [in T2split]
Gamma0.T2sub [in T2sub]
Gamma0.T2succ [in T2succ]
Gamma0.T2_eqMixin [in T2_eqMixin]
Gamma0.T2_pr1 [in T2_pr1]
Gamma0.T2_pr2 [in T2_pr2]
Gamma0.T2_eqType [in T2_eqType]
I
Image.fun_image [in fun_image]InfiniteSets.countable_set [in countable_set]
InfiniteSets.countable_infinite [in countable_infinite]
InfiniteSets.decreasing_sequence [in decreasing_sequence]
InfiniteSets.increasing_sequence [in increasing_sequence]
InfiniteSets.induction_defined_set [in induction_defined_set]
InfiniteSets.induction_defined_set0 [in induction_defined_set0]
InfiniteSets.induction_defined_set1 [in induction_defined_set1]
InfiniteSets.induction_defined1 [in induction_defined1]
InfiniteSets.stationary_sequence [in stationary_sequence]
IntegerProps.binom [in binom]
IntegerProps.Bint [in Bint]
IntegerProps.Bintc [in Bintc]
IntegerProps.Bintcc [in Bintcc]
IntegerProps.Bint_cco [in Bint_cco]
IntegerProps.Bint_co [in Bint_co]
IntegerProps.Bint1c [in Bint1c]
IntegerProps.card_five [in card_five]
IntegerProps.card_divides [in card_divides]
IntegerProps.card_division_prop [in card_division_prop]
IntegerProps.card_quo [in card_quo]
IntegerProps.card_rem [in card_rem]
IntegerProps.card_ten [in card_ten]
IntegerProps.csum_to_increasing_fct [in csum_to_increasing_fct]
IntegerProps.csum_to_increasing_fun [in csum_to_increasing_fun]
IntegerProps.eqmod [in eqmod]
IntegerProps.even_int [in even_int]
IntegerProps.expansion [in expansion]
IntegerProps.expansion_value [in expansion_value]
IntegerProps.expansion_ten [in expansion_ten]
IntegerProps.factorial [in factorial]
IntegerProps.finite_int_fam [in finite_int_fam]
IntegerProps.functions_incr [in functions_incr]
IntegerProps.functions_incr_int [in functions_incr_int]
IntegerProps.functions_sincr [in functions_sincr]
IntegerProps.functions_sum_eq [in functions_sum_eq]
IntegerProps.functions_sum_le [in functions_sum_le]
IntegerProps.graphs_sum_le_int [in graphs_sum_le_int]
IntegerProps.graphs_sum_eq [in graphs_sum_eq]
IntegerProps.graphs_sum_le [in graphs_sum_le]
IntegerProps.induction_defined0 [in induction_defined0]
IntegerProps.induction_defined [in induction_defined]
IntegerProps.induction_term [in induction_term]
IntegerProps.injections [in injections]
IntegerProps.number_of_injections [in number_of_injections]
IntegerProps.odd_int [in odd_int]
IntegerProps.partitions_aux [in partitions_aux]
IntegerProps.partitions_pi [in partitions_pi]
IntegerProps.partition_with_pi_elements [in partition_with_pi_elements]
IntegerProps.rest_minus_interval [in rest_minus_interval]
IntegerProps.rest_plus_interval [in rest_plus_interval]
IntegerProps.subsets_with_p_elements [in subsets_with_p_elements]
Intersection.disjoint [in disjoint]
Intersection.disjointVeq [in disjointVeq]
Intersection.intersection [in intersection]
Intersection.intersection2 [in intersection2]
L
Little.alls [in alls]Little.C0 [in C0]
Little.C1 [in C1]
Little.C2 [in C2]
Little.doubleton [in doubleton]
Little.doubletonp [in doubletonp]
Little.singleton [in singleton]
Little.singletonp [in singletonp]
Little.small_set [in small_set]
M
monomial_eq [in monomial_eq]monomial_le [in monomial_le]
monomial_lt [in monomial_lt]
N
nbsurj [in nbsurj]NumberSums.Bp [in Bp]
NumberSums.ndstnC [in ndstnC]
NumberSums.ndstnC_nat [in ndstnC_nat]
NumberSums.nds_FA [in nds_FA]
NumberSums.nds_ax [in nds_ax]
NumberSums.nds_sums [in nds_sums]
NumberSums.nds_sc [in nds_sc]
NumberSums.nds_F [in nds_F]
NumberSums.nds_type [in nds_type]
NumberSums.nds_card [in nds_card]
NumberSums.nds_type_nor [in nds_type_nor]
NumberSums.nds_tn_sup [in nds_tn_sup]
NumberSums.nds_tn_C [in nds_tn_C]
NumberSums.nds_tn_S [in nds_tn_S]
NumberSums.nds_tn_ax [in nds_tn_ax]
NumberSums.nds_type' [in nds_type']
NumberSums.nds_type0 [in nds_type0]
NumberSums.nth_more [in nth_more]
NumberSums.nth_elts [in nth_elts]
NumberSums.nth_set_fct [in nth_set_fct]
NumberSums.nth_elt [in nth_elt]
NumberSums.pair_lt [in pair_lt]
NumberSums.perm_int [in perm_int]
NumberSums.segment_nat [in segment_nat]
NumberSums.sumpow2 [in sumpow2]
O
OrderType.is_order_type [in is_order_type]OrderType.order_type_le [in order_type_le]
OrderType.order_type_fam [in order_type_fam]
OrderType.OT_prod2 [in OT_prod2]
OrderType.OT_prod [in OT_prod]
OrderType.OT_opposite [in OT_opposite]
OrderType.OT_sum [in OT_sum]
OrderType.OT_sum2 [in OT_sum2]
Ordinals1.aleph_one [in aleph_one]
Ordinals1.countable_ordinal [in countable_ordinal]
Ordinals1.mutually_cofinal [in mutually_cofinal]
Ordinals1.oprod_expansion [in oprod_expansion]
Ordinals1.oquorem [in oquorem]
Ordinals1.ord_prod [in ord_prod]
Ordinals1.ord_below_n [in ord_below_n]
Ordinals1.ord_diff [in ord_diff]
Ordinals1.ord_sum2 [in ord_sum2]
Ordinals1.ord_prod2 [in ord_prod2]
Ordinals1.ord_div_pr0 [in ord_div_pr0]
Ordinals1.ord_div_pr1 [in ord_div_pr1]
Ordinals1.ord_sum [in ord_sum]
Ordinals1.ord_cofinal [in ord_cofinal]
Ordinals1.osum_expansion [in osum_expansion]
Ordinals1.same_below [in same_below]
Ordinals1.sincr_ofs [in sincr_ofs]
Ordinals2.all_der_bound [in all_der_bound]
Ordinals2.all_der [in all_der]
Ordinals2.all_der_aux [in all_der_aux]
Ordinals2.card_max [in card_max]
Ordinals2.collectivising_srel [in collectivising_srel]
Ordinals2.cont_ofn [in cont_ofn]
Ordinals2.critical_ordinal [in critical_ordinal]
Ordinals2.first_derivation [in first_derivation]
Ordinals2.fixpoints [in fixpoints]
Ordinals2.iclosed_collection [in iclosed_collection]
Ordinals2.iclosed_set [in iclosed_set]
Ordinals2.least_fixedpoint_ge [in least_fixedpoint_ge]
Ordinals2.many_der_aux [in many_der_aux]
Ordinals2.many_der [in many_der]
Ordinals2.non_coll [in non_coll]
Ordinals2.normal_ofs1 [in normal_ofs1]
Ordinals2.normal_ofs2 [in normal_ofs2]
Ordinals2.normal_function [in normal_function]
Ordinals2.normal_ofs [in normal_ofs]
Ordinals2.ofs [in ofs]
Ordinals2.ofsu [in ofsu]
Ordinals2.OIax_g1 [in OIax_g1]
Ordinals2.OIax_g2 [in OIax_g2]
Ordinals2.OIax_g3 [in OIax_g3]
Ordinals2.OIax_g4 [in OIax_g4]
Ordinals2.OIax_w0 [in OIax_w0]
Ordinals2.OIax_w1 [in OIax_w1]
Ordinals2.OIax_w2 [in OIax_w2]
Ordinals2.OIax_w3 [in OIax_w3]
Ordinals2.OIax_w2w [in OIax_w2w]
Ordinals2.OIax1 [in OIax1]
Ordinals2.OIax1b [in OIax1b]
Ordinals2.OIax2 [in OIax2]
Ordinals2.OIax3 [in OIax3]
Ordinals2.omax [in omax]
Ordinals2.ordinalr [in ordinalr]
Ordinals2.ordinals [in ordinals]
Ordinals2.ordinalsE [in ordinalsE]
Ordinals2.ordinalsf [in ordinalsf]
Ordinals2.ordinal_interval [in ordinal_interval]
Ordinals2.ordinal_prop [in ordinal_prop]
Ordinals2.ord_induction_sup [in ord_induction_sup]
Ordinals2.ord_induction_prop [in ord_induction_prop]
Ordinals2.ord_pow [in ord_pow]
Ordinals2.ord_ext_div_pr [in ord_ext_div_pr]
Ordinals2.ord_indecomposable [in ord_indecomposable]
Ordinals2.ord_induction_p [in ord_induction_p]
Ordinals2.ord_pow' [in ord_pow']
Ordinals2.ord_induction_g_unit [in ord_induction_g_unit]
Ordinals2.ord_induction_defined [in ord_induction_defined]
Ordinals2.ord_induction_aux [in ord_induction_aux]
Ordinals2.segmentr [in segmentr]
Ordinals2.sincr_ofn [in sincr_ofn]
Ordinals2.sincr_ofsu [in sincr_ofsu]
Ordinals2.the_least_fixedpoint_ge [in the_least_fixedpoint_ge]
Ordinals2.worder_rc [in worder_rc]
Ordinals3.cantor_mon [in cantor_mon]
Ordinals3.CNFbB [in CNFbB]
Ordinals3.CNFbv [in CNFbv]
Ordinals3.cnfbv [in cnfbv]
Ordinals3.CNFBv [in CNFBv]
Ordinals3.CNFbvo [in CNFbvo]
Ordinals3.cnfb_bound [in cnfb_bound]
Ordinals3.CNFb_axo [in CNFb_axo]
Ordinals3.CNFB_ax [in CNFB_ax]
Ordinals3.CNFb_ax [in CNFb_ax]
Ordinals3.CNFB_bound [in CNFB_bound]
Ordinals3.cnfb_ax [in cnfb_ax]
Ordinals3.CNFpv [in CNFpv]
Ordinals3.CNFpv1 [in CNFpv1]
Ordinals3.CNFp_ax [in CNFp_ax]
Ordinals3.CNFp_ax1 [in CNFp_ax1]
Ordinals3.CNFp_ax4 [in CNFp_ax4]
Ordinals3.CNFp_value1 [in CNFp_value1]
Ordinals3.CNFp_value2 [in CNFp_value2]
Ordinals3.CNFq_ax [in CNFq_ax]
Ordinals3.CNFq_extension [in CNFq_extension]
Ordinals3.CNFQ_bound [in CNFQ_bound]
Ordinals3.CNFrv [in CNFrv]
Ordinals3.CNFrv0 [in CNFrv0]
Ordinals3.CNFr_ax [in CNFr_ax]
Ordinals3.CNFr_ax0 [in CNFr_ax0]
Ordinals3.CNF_mpc [in CNF_mpc]
Ordinals3.CNF_mpe [in CNF_mpe]
Ordinals3.CNF_exponents [in CNF_exponents]
Ordinals3.CNF_ext_coeffs [in CNF_ext_coeffs]
Ordinals3.CNF_graph [in CNF_graph]
Ordinals3.CNF_subset [in CNF_subset]
Ordinals3.cnf_m [in cnf_m]
Ordinals3.cnf_s [in cnf_s]
Ordinals3.cnf_change_n [in cnf_change_n]
Ordinals3.oprod_comm [in oprod_comm]
Ordinals3.oprod2_comm_P1 [in oprod2_comm_P1]
Ordinals3.oprod2_comm_P4 [in oprod2_comm_P4]
Ordinals3.ord_negl [in ord_negl]
Ordinals3.ord_natural_sum [in ord_natural_sum]
Ordinals3.ord_natural_sum_aux [in ord_natural_sum_aux]
Ordinals3.the_CNF_degree [in the_CNF_degree]
Ordinals3.the_cnf_degree [in the_cnf_degree]
Ordinals3.the_cnf [in the_cnf]
Ordinals3.the_CNF [in the_CNF]
Ordinals4.aleph_succ_comp [in aleph_succ_comp]
Ordinals4.aleph0 [in aleph0]
Ordinals4.aleph1 [in aleph1]
Ordinals4.aleph2 [in aleph2]
Ordinals4.Cantor_Omega [in Cantor_Omega]
Ordinals4.CNF_psi_ax [in CNF_psi_ax]
Ordinals4.CNF_from_psi [in CNF_from_psi]
Ordinals4.CNF_psiv [in CNF_psiv]
Ordinals4.CNF_psi_ax2 [in CNF_psi_ax2]
Ordinals4.cofinality [in cofinality]
Ordinals4.cofinality_alt [in cofinality_alt]
Ordinals4.cofinality_aux [in cofinality_aux]
Ordinals4.cofinality_c [in cofinality_c]
Ordinals4.cofinality_c_ex [in cofinality_c_ex]
Ordinals4.cofinality' [in cofinality']
Ordinals4.cofinal_function [in cofinal_function]
Ordinals4.cofinal_function_ex [in cofinal_function_ex]
Ordinals4.ContHypothesis [in ContHypothesis]
Ordinals4.csum_of_small0 [in csum_of_small0]
Ordinals4.csum_of_small1 [in csum_of_small1]
Ordinals4.epsilon_fam [in epsilon_fam]
Ordinals4.epsilon_fct [in epsilon_fct]
Ordinals4.fg_Mlt_ltc [in fg_Mlt_ltc]
Ordinals4.fg_Mlt_lto [in fg_Mlt_lto]
Ordinals4.fg_Mle_lec [in fg_Mle_lec]
Ordinals4.fg_Mle_leo [in fg_Mle_leo]
Ordinals4.Gamma_0 [in Gamma_0]
Ordinals4.GenContHypothesis [in GenContHypothesis]
Ordinals4.inaccessible_w [in inaccessible_w]
Ordinals4.inverse_epsilon [in inverse_epsilon]
Ordinals4.inv_psi_omega [in inv_psi_omega]
Ordinals4.maximal_critical [in maximal_critical]
Ordinals4.ofg_Mlt_lto [in ofg_Mlt_lto]
Ordinals4.ofg_Mle_leo [in ofg_Mle_leo]
Ordinals4.olog [in olog]
Ordinals4.omega_fct [in omega_fct]
Ordinals4.omega1 [in omega1]
Ordinals4.omega2 [in omega2]
Ordinals4.ordinal_epsilon [in ordinal_epsilon]
Ordinals4.ord_index [in ord_index]
Ordinals4.regular_ordinal [in regular_ordinal]
Ordinals4.regular_cardinal [in regular_cardinal]
Ordinals4.Schutte_zeta [in Schutte_zeta]
Ordinals4.Schutte_phi [in Schutte_phi]
Ordinals4.Schutte_psi [in Schutte_psi]
Ordinals4.Schutte_psi_aux [in Schutte_psi_aux]
Ordinals4.Schutte_Cr [in Schutte_Cr]
Ordinals4.singular_ordinal [in singular_ordinal]
Ordinals4.singular_cardinal [in singular_cardinal]
Ordinals4.strong_critical [in strong_critical]
Ordinals5.beth_fct [in beth_fct]
Ordinals5.cardinal_pos_fam [in cardinal_pos_fam]
Ordinals5.card_dominant [in card_dominant]
Ordinals5.cpow_less_ecb [in cpow_less_ecb]
Ordinals5.cpow_less [in cpow_less]
Ordinals5.cpow_less_ec_prop [in cpow_less_ec_prop]
Ordinals5.cprod_of_small [in cprod_of_small]
Ordinals5.gimel_fct [in gimel_fct]
Ordinals5.inaccessible [in inaccessible]
Ordinals5.least_non_trivial_dominant [in least_non_trivial_dominant]
Ordinals5.next_dominant [in next_dominant]
Ordinals5.rel_strong_card [in rel_strong_card]
Ordinals5.SingCardHypothesis [in SingCardHypothesis]
Ordinals5.the_nondominant_least [in the_nondominant_least]
P
Pair.kpair [in kpair]Pair.kpr1 [in kpr1]
Pair.kpr2 [in kpr2]
Pair.pairp [in pairp]
Pair.Pair.first_proj [in first_proj]
Pair.Pair.pair_ctor [in pair_ctor]
Pair.Pair.second_proj [in second_proj]
Powerset.powerset [in powerset]
prop_inc11 [in prop_inc11]
prop_inc1 [in prop_inc1]
prop_inc2 [in prop_inc2]
prop_when11 [in prop_when11]
prop_when22 [in prop_when22]
prop_when1 [in prop_when1]
prop_when2 [in prop_when2]
R
RationalIntegers.Bnats [in Bnats]RationalIntegers.BZ [in BZ]
RationalIntegers.BZabs [in BZabs]
RationalIntegers.BZdiff [in BZdiff]
RationalIntegers.BZdivides [in BZdivides]
RationalIntegers.BZdivision_prop [in BZdivision_prop]
RationalIntegers.BZdvdordering [in BZdvdordering]
RationalIntegers.BZgcd [in BZgcd]
RationalIntegers.BZlcm [in BZlcm]
RationalIntegers.BZm [in BZm]
RationalIntegers.BZms [in BZms]
RationalIntegers.BZm_of_nat [in BZm_of_nat]
RationalIntegers.BZopp [in BZopp]
RationalIntegers.BZopp_fun [in BZopp_fun]
RationalIntegers.BZp [in BZp]
RationalIntegers.BZpred [in BZpred]
RationalIntegers.BZprod [in BZprod]
RationalIntegers.BZprod_sign_aux [in BZprod_sign_aux]
RationalIntegers.BZps [in BZps]
RationalIntegers.BZquo [in BZquo]
RationalIntegers.BZrem [in BZrem]
RationalIntegers.BZsign [in BZsign]
RationalIntegers.BZsucc [in BZsucc]
RationalIntegers.BZsum [in BZsum]
RationalIntegers.BZ_one [in BZ_one]
RationalIntegers.BZ_Bezout [in BZ_Bezout]
RationalIntegers.BZ_three [in BZ_three]
RationalIntegers.BZ_ordering [in BZ_ordering]
RationalIntegers.BZ_mone [in BZ_mone]
RationalIntegers.BZ_two [in BZ_two]
RationalIntegers.BZ_of_nat [in BZ_of_nat]
RationalIntegers.BZ_ideal [in BZ_ideal]
RationalIntegers.BZ_of_Z_aux [in BZ_of_Z_aux]
RationalIntegers.BZ_four [in BZ_four]
RationalIntegers.BZ_ideal1 [in BZ_ideal1]
RationalIntegers.BZ_ideal2 [in BZ_ideal2]
RationalIntegers.BZ_coprime [in BZ_coprime]
RationalIntegers.BZ_le [in BZ_le]
RationalIntegers.BZ_lt [in BZ_lt]
RationalIntegers.BZ_of_Z [in BZ_of_Z]
RationalIntegers.BZ_zero [in BZ_zero]
RationalIntegers.Z_of_BZ [in Z_of_BZ]
Realisation.cardinalU [in cardinalU]
Realisation.choiceA [in choiceA]
Realisation.comprehensionA [in comprehensionA]
Realisation.comprehensionA_pr [in comprehensionA_pr]
Realisation.doubletonU [in doubletonU]
Realisation.emptysetA_pr [in emptysetA_pr]
Realisation.emptysetU [in emptysetU]
Realisation.equipotentU [in equipotentU]
Realisation.extensionalityA [in extensionalityA]
Realisation.finite_depth [in finite_depth]
Realisation.foundationA [in foundationA]
Realisation.foundation_prop [in foundation_prop]
Realisation.foundation_axiom [in foundation_axiom]
Realisation.funimageU [in funimageU]
Realisation.funsetU [in funsetU]
Realisation.hereditarily_finite [in hereditarily_finite]
Realisation.inaccessibleU [in inaccessibleU]
Realisation.infiniteA [in infiniteA]
Realisation.intersectionU2 [in intersectionU2]
Realisation.is_in_universe [in is_in_universe]
Realisation.ordinalU [in ordinalU]
Realisation.pairA [in pairA]
Realisation.pairA_pr [in pairA_pr]
Realisation.powersetA [in powersetA]
Realisation.powersetA_pr [in powersetA_pr]
Realisation.powersetU [in powersetU]
Realisation.powerU [in powerU]
Realisation.powerU_pr [in powerU_pr]
Realisation.rec_finite [in rec_finite]
Realisation.replacementA [in replacementA]
Realisation.replacementA_pr [in replacementA_pr]
Realisation.rept_union [in rept_union]
Realisation.setofU [in setofU]
Realisation.subU [in subU]
Realisation.transitive_closure_pr [in transitive_closure_pr]
Realisation.transitive_closure [in transitive_closure]
Realisation.transitive_setU [in transitive_setU]
Realisation.Ufacts [in Ufacts]
Realisation.unionA [in unionA]
Realisation.unionA_pr [in unionA_pr]
Realisation.unionU [in unionU]
Realisation.unionU2 [in unionU2]
Realisation.universe [in universe]
Realisation.urank [in urank]
Realisation.urankA [in urankA]
Realisation.urankA_prop [in urankA_prop]
Realisation.urank_prop [in urank_prop]
Realisation.well_founded_set [in well_founded_set]
Realisation.ZF_axioms1 [in ZF_axioms1]
Relation.antisymmetricp [in antisymmetricp]
Relation.canonical_foq_induced_rel [in canonical_foq_induced_rel]
Relation.canon_proj [in canon_proj]
Relation.class [in class]
Relation.classp [in classp]
Relation.compatible_with_equiv [in compatible_with_equiv]
Relation.compatible_with_equiv_p [in compatible_with_equiv_p]
Relation.compatible_with_equivs [in compatible_with_equivs]
Relation.equivalence [in equivalence]
Relation.equivalences [in equivalences]
Relation.equivalence_associated [in equivalence_associated]
Relation.equivalence_re [in equivalence_re]
Relation.equivalence_r [in equivalence_r]
Relation.eq_rel_associated [in eq_rel_associated]
Relation.finer_equivalence [in finer_equivalence]
Relation.finer_axioms [in finer_axioms]
Relation.first_proj_eqr [in first_proj_eqr]
Relation.first_proj_eq [in first_proj_eq]
Relation.function_on_quotients [in function_on_quotients]
Relation.function_on_quotient [in function_on_quotient]
Relation.fun_on_quotients [in fun_on_quotients]
Relation.fun_on_quotient [in fun_on_quotient]
Relation.fun_on_rep [in fun_on_rep]
Relation.fun_on_reps [in fun_on_reps]
Relation.graph_on [in graph_on]
Relation.iirel_axioms [in iirel_axioms]
Relation.induced_rel_axioms [in induced_rel_axioms]
Relation.induced_relation [in induced_relation]
Relation.inverse_direct_value [in inverse_direct_value]
Relation.inv_image_relation [in inv_image_relation]
Relation.in_same_coset [in in_same_coset]
Relation.order [in order]
Relation.order_r [in order_r]
Relation.order_on [in order_on]
Relation.order_re [in order_re]
Relation.partition_relation [in partition_relation]
Relation.preorder [in preorder]
Relation.preorder_r [in preorder_r]
Relation.prod_of_relation [in prod_of_relation]
Relation.quotient [in quotient]
Relation.quotient_of_relations [in quotient_of_relations]
Relation.reflexivep [in reflexivep]
Relation.reflexive_re [in reflexive_re]
Relation.reflexive_rr [in reflexive_rr]
Relation.relation_on_quotient [in relation_on_quotient]
Relation.representative_system_function [in representative_system_function]
Relation.representative_system [in representative_system]
Relation.restricted_eq [in restricted_eq]
Relation.saturated [in saturated]
Relation.saturation_of [in saturation_of]
Relation.section_canon_proj [in section_canon_proj]
Relation.substrate [in substrate]
Relation.symmetricp [in symmetricp]
Relation.transitivep [in transitivep]
Relation.union_image [in union_image]
restrict [in restrict]
S
set_surj_fun [in set_surj_fun]set_surj_fun_on [in set_surj_fun_on]
stirling2 [in stirling2]
stirling2_rec [in stirling2_rec]
T
T_nkbin [in T_nkbin]U
Union.C3 [in C3]Union.C4 [in C4]
Union.select [in select]
Union.tripleton [in tripleton]
Union.union [in union]
Union.uniont [in uniont]
Union.union2 [in union2]
Union.Yo [in Yo]
U_nkbin [in U_nkbin]
V
VonNeumann.numerable [in numerable]VonNeumann.numeration [in numeration]
VonNeumann.the_numeration [in the_numeration]
W
well_founded_P [in well_founded_P]Wfsum.extension [in extension]
Wfsum.f [in f]
Wfsum.f_spec [in f_spec]
Wfsum.f1 [in f1]
Wfsum.f2 [in f2]
Wfsum.psum [in psum]
Wf_ex3.f [in f]
Wf_ex.f [in f]
Wf_ex3.f1 [in f1]
Wf_ex.f1 [in f1]
Wf_ex3.f2 [in f2]
Wf_ex.f2 [in f2]
Wf_ex3.f_spec [in f_spec]
Wf_ex.f_spec [in f_spec]
Wf_ex3.lte [in lte]
Worder.canonical_doubleton_order [in canonical_doubleton_order]
Worder.change_target_fun [in change_target_fun]
Worder.common_worder_axiom [in common_worder_axiom]
Worder.common_extension_order [in common_extension_order]
Worder.common_extension_order_axiom [in common_extension_order_axiom]
Worder.common_ordering_set [in common_ordering_set]
Worder.inductive [in inductive]
Worder.monotone_order_fam [in monotone_order_fam]
Worder.order_prod2 [in order_prod2]
Worder.order_sum2 [in order_sum2]
Worder.order_extends [in order_extends]
Worder.order_prod_r [in order_prod_r]
Worder.order_sum_r [in order_sum_r]
Worder.order_prod [in order_prod]
Worder.order_sum [in order_sum]
Worder.ordinal_iso [in ordinal_iso]
Worder.orprod_ax [in orprod_ax]
Worder.orsum_ax [in orsum_ax]
Worder.restriction_to_segment [in restriction_to_segment]
Worder.segment [in segment]
Worder.segmentc [in segmentc]
Worder.segmentp [in segmentp]
Worder.segments [in segments]
Worder.segmentss [in segmentss]
Worder.segments_iso [in segments_iso]
Worder.sum_of_substrates [in sum_of_substrates]
Worder.transfinite_def [in transfinite_def]
Worder.transfinite_defined [in transfinite_defined]
Worder.worder [in worder]
Worder.worder_fam [in worder_fam]
Worder.worder_of [in worder_of]
Worder.worder_on [in worder_on]
Worder.worder_r [in worder_r]
Worder.Zermelo_axioms [in Zermelo_axioms]
Z
Zformulas.bin_conv_dir [in bin_conv_dir]Zformulas.bin_conv_inv [in bin_conv_inv]
Zformulas.nb_surj [in nb_surj]
Module Index
A
Ackermann [in Ackermann]Axioms [in Axioms]
B
Bfunction [in Bfunction]Border [in Border]
Bordinal [in Bordinal]
Bordinal.Cardinal [in Bordinal.Cardinal]
Bordinal.CardinalSig [in Bordinal.CardinalSig]
Bproduct [in Bproduct]
Bunion [in Bunion]
C
CantorOrdinal [in CantorOrdinal]Cardinal [in Cardinal]
CardinalOps [in CardinalOps]
Cartesian [in Cartesian]
Complement [in Complement]
Constructions [in Constructions]
Correspondence [in Correspondence]
E
Exercise1 [in Exercise1]Exercise2 [in Exercise2]
Exercise2_aux [in Exercise2_aux]
Exercise3 [in Exercise3]
Exercise4 [in Exercise4]
Exercise5 [in Exercise5]
Exercise6 [in Exercise6]
F
FiniteSets [in FiniteSets]Function [in Function]
G
Gamma0 [in Gamma0]I
Image [in Image]InfiniteSets [in InfiniteSets]
IntegerProps [in IntegerProps]
Intersection [in Intersection]
L
Little [in Little]N
NumberSums [in NumberSums]O
OrderType [in OrderType]OrdinalAdd [in OrdinalAdd]
Ordinals1 [in Ordinals1]
Ordinals2 [in Ordinals2]
Ordinals3 [in Ordinals3]
Ordinals4 [in Ordinals4]
Ordinals5 [in Ordinals5]
P
Pair [in Pair]Pair.Pair [in Pair.Pair]
Pair.PairSig [in Pair.PairSig]
Powerset [in Powerset]
R
RationalIntegers [in RationalIntegers]Realisation [in Realisation]
Relation [in Relation]
T
Tactics1 [in Tactics1]U
Union [in Union]V
VonNeumann [in VonNeumann]W
Wfsum [in Wfsum]Wf_ex [in Wf_ex]
Wf_ex3 [in Wf_ex3]
Worder [in Worder]
Z
Zformulas [in Zformulas]Axiom Index
A
Axioms.chooseT [in chooseT]Axioms.chooseT_pr [in chooseT_pr]
Axioms.extensionality [in extensionality]
Axioms.IM [in IM]
Axioms.IM_P [in IM_P]
Axioms.p_or_not_p [in p_or_not_p]
Axioms.Ro [in Ro]
Axioms.R_inj [in R_inj]
B
Bordinal.CardinalSig.cardinal [in cardinal]Bordinal.CardinalSig.cardinalE [in cardinalE]
O
OrderType.order_type [in order_type]OrderType.order_type_unique [in order_type_unique]
OrderType.order_type_exists [in order_type_exists]
P
Pair.PairSig.first_proj [in first_proj]Pair.PairSig.kprE [in kprE]
Pair.PairSig.kpr1E [in kpr1E]
Pair.PairSig.kpr2E [in kpr2E]
Pair.PairSig.pair_ctor [in pair_ctor]
Pair.PairSig.second_proj [in second_proj]
Variable Index
A
Axioms.Choose.t [in t]B
Bfunction.ConstantFunction.A [in A]Bfunction.ConstantFunction.B [in B]
Bfunction.ConstantFunction.y [in y]
Bfunction.ConstantFunction.yB [in yB]
Bfunction.Extension.f [in f]
Bfunction.Extension.ff [in ff]
Bfunction.Extension.x [in x]
Bfunction.Extension.xsf [in xsf]
Bfunction.Extension.y [in y]
Bfunction.Ext_to_prod.u [in u]
Bfunction.Ext_to_prod.v [in v]
Bfunction.Ext_to_prod.fu [in fu]
Bfunction.Ext_to_prod.fv [in fv]
Bfunction.Funtion_two_args.f [in f]
Bfunction.Funtion_two_args.ff [in ff]
Bfunction.Funtion_two_args.sgf [in sgf]
Bfunction.InverseProps.A [in A]
Bfunction.InverseProps.B [in B]
Bfunction.InverseProps.f [in f]
Bfunction.InverseProps.H [in H]
Bfunction.Vf_pr.f [in f]
Bfunction.Vf_pr.ff [in ff]
BigOps.idx [in idx]
BigOps.op [in op]
BigOps.R [in R]
Border.LatticeProps.E [in E]
Border.LatticeProps.lr [in lr]
Border.LatticeProps.r [in r]
Border.OrderAssociated.pr [in pr]
Border.OrderAssociated.r [in r]
Border.OrderFunction.or [in or]
Border.OrderFunction.r [in r]
Border.OrderFunction.sr [in sr]
Border.OrderFunction.x [in x]
Border.OrderFunction.y [in y]
Border.OrderGraph.g [in g]
Border.OrderGraph.sr [in sr]
Border.OrderGraph.x [in x]
Border.OrderGraph.y [in y]
Bordinal.SuccProp.a [in a]
Bordinal.SuccProp.b [in b]
Bordinal.SuccProp.nax [in nax]
Bordinal.SuccProp.nby [in nby]
Bordinal.SuccProp.x [in x]
Bordinal.SuccProp.y [in y]
Bproduct.ExtMapProd.ax [in ax]
Bproduct.ExtMapProd.f [in f]
Bproduct.ExtMapProd.I [in I]
Bproduct.ExtMapProd.src [in src]
Bproduct.ExtMapProd.trg [in trg]
Bproduct.FunSetToProd.F [in F]
Bproduct.FunSetToProd.fF [in fF]
Bproduct.FunSetToProd.src [in src]
Bproduct.ProdProdCanon.f [in f]
Bproduct.ProdProdCanon.ff [in ff]
Bproduct.ProdProdCanon.ff' [in ff']
Bproduct.ProdProdCanon.f' [in f']
Bproduct.ProdProdCanon.sfsf [in sfsf]
Bproduct.ProductCompose.bu [in bu]
Bproduct.ProductCompose.f [in f]
Bproduct.ProductCompose.tudf [in tudf]
Bproduct.ProductCompose.u [in u]
Bproduct.RestrictionProduct.f [in f]
Bproduct.RestrictionProduct.j [in j]
Bproduct.RestrictionProduct.jdf [in jdf]
C
Cardinal.OrdinalFinite.ox [in ox]Cardinal.OrdinalFinite.x [in x]
E
Exercise1.exercise1_1.x [in x]Exercise1.exercise1_1.y [in y]
Exercise1.Exercise6_10.E [in E]
Exercise1.Exercise6_10.R [in R]
Exercise1.Exercise6_10.A1 [in A1]
Exercise1.Exercise6_10.A2 [in A2]
Exercise1.Exercise6_10.A3 [in A3]
Exercise1.Ex1_6.choose_equiv [in choose_equiv]
Exercise2.Exercise1_13.f [in f]
Exercise2.Exercise1_19.g [in g]
Exercise2.Exercise1_3a.g [in g]
Exercise2.Exercise1_22.r [in r]
Exercise2.Exercise1_19.r [in r]
Exercise2.Exercise1_16.r [in r]
Exercise2.Exercise1_15.r [in r]
Exercise2.Exercise1_13.r [in r]
Exercise2.Exercise1_10.r [in r]
Exercise2.Exercise1_9.r [in r]
Exercise2.Exercise1_6.r [in r]
Exercise2.Exercise1_6a.r [in r]
Exercise2.Exercise1_3a.r [in r]
Exercise2.Exercise1_6.or'' [in or'']
Exercise2.Exercise1_19.ax [in ax]
Exercise2.Exercise1_13.cf [in cf]
Exercise2.Exercise1_16.lr [in lr]
Exercise2.Exercise1_10.lr [in lr]
Exercise2.Exercise1_9.lr [in lr]
Exercise2.Exercise1_10.r' [in r']
Exercise2.Exercise1_6.r' [in r']
Exercise2.Exercise1_6a.r' [in r']
Exercise2.Exercise1_22.or [in or]
Exercise2.Exercise1_15.or [in or]
Exercise2.Exercise1_6.or [in or]
Exercise2.Exercise1_6a.or [in or]
Exercise2.Exercise1_19.nesr [in nesr]
Exercise2.Exercise1_10.lr' [in lr']
Exercise2.Exercise1_6.r'' [in r'']
Exercise2.Exercise1_6.or' [in or']
Exercise2.Exercise1_6a.or' [in or']
Exercise2.Exercise1_19.ax2 [in ax2]
Exercise2.Exercise13b.g [in g]
Exercise2.Exercise13b.oa [in oa]
Exercise2.Exercise13b.orsum_lattice_H1 [in orsum_lattice_H1]
Exercise2.Exercise13b.orsum_lattice_H2 [in orsum_lattice_H2]
Exercise2.Exercise13b.orsum_lattice_H3 [in orsum_lattice_H3]
Exercise2.Exercise13b.orsum_lattice_H4 [in orsum_lattice_H4]
Exercise2.Exercise13b.orsum_lattice_H5 [in orsum_lattice_H5]
Exercise2.Exercise13b.r [in r]
Exercise3.Exercise2_6.f [in f]
Exercise3.Exercise2_11.g [in g]
Exercise3.Exercise2_11.r [in r]
Exercise3.Exercise2_6.r [in r]
Exercise3.Exercise2_6.fxx [in fxx]
Exercise3.Exercise2_6.ff [in ff]
Exercise3.Exercise2_11.oa [in oa]
Exercise3.Exercise2_6.or [in or]
Exercise3.Exercise2_6.sf [in sf]
Exercise3.Exercise2_6.tf [in tf]
Exercise3.Exercise27.or [in or]
Exercise3.Exercise27.r [in r]
Exercise3.Exercise34.choice [in choice]
Exercise3.Exercise34.E [in E]
Exercise3.Exercise34.f [in f]
Exercise3.OlexPowBasic.r [in r]
Exercise3.OlexPowBasic.r' [in r']
Exercise3.OlexPowBasic.wor [in wor]
Exercise3.OlexPowBasic.wor' [in wor']
Exercise3.Olex_basic.g [in g]
Exercise3.Olex_basic.r [in r]
Exercise3.Olex_basic.ax [in ax]
Exercise4.Exercice4_11.A [in A]
Exercise4.Exercice4_11.R [in R]
Exercise4.Exercice4_11.mnr [in mnr]
Exercise4.Exercise46.A [in A]
Exercise4.Exercise46.disdom [in disdom]
Exercise4.Exercise46.m [in m]
Exercise4.Exercise46.mB [in mB]
Exercise4.Exercise46.n [in n]
Exercise4.Exercise46.nB [in nB]
Exercise4.Exercise46.X [in X]
Exercise4.Exercise46.Xpr [in Xpr]
Exercise4.Exercise46.Y [in Y]
Exercise4.Exercise46.Ypr [in Ypr]
Exercise4.Irred_lattice.r [in r]
Exercise4.Irred_lattice.dl3 [in dl3]
Exercise4.Irred_lattice.fs [in fs]
Exercise4.Irred_lattice.lr [in lr]
Exercise4.Irred_lattice.nes [in nes]
Exercise5.Exercise5_5.E [in E]
Exercise5.Exercise5_5.f [in f]
Exercise5.Exercise5_5.r [in r]
Exercise5.Exercise5_5.dl [in dl]
Exercise5.Exercise5_5.lr [in lr]
Exercise5.Exercise5_5.sr [in sr]
Exercise5.Exercise5_5.hyp_f [in hyp_f]
Exercise5.Exercise5_5.card_f [in card_f]
Exercise5.Exercise6_24.E [in E]
Exercise5.Exercise6_6.E [in E]
Exercise5.Exercise6_24.F [in F]
Exercise5.Exercise6_6.F [in F]
Exercise5.Exercise6_24.a [in a]
Exercise5.Exercise6_15.b [in b]
Exercise5.Exercise6_24.ceF [in ceF]
Exercise5.Exercise6_6.leFE [in leFE]
Exercise5.Exercise6_24.FE [in FE]
Exercise5.Exercise6_24.cF [in cF]
Exercise5.Exercise6_24.iF [in iF]
Exercise5.Exercise6_6.Einf [in Einf]
Exercise5.Exercise6_6.Finf [in Finf]
Exercise5.Exercise6_15.bg2 [in bg2]
Exercise6.Exercise6_33.E [in E]
Exercise6.Exercise6_33.F [in F]
Exercise6.Exercise6_33.a [in a]
Exercise6.Exercise6_33.b [in b]
Exercise6.Exercise6_33.ha [in ha]
Exercise6.Exercise6_33.hb [in hb]
Exercise6.Exercise6_33.iab [in iab]
Exercise6.Exercise6_33.HF0 [in HF0]
Exercise6.Exercise6_33.HF1 [in HF1]
Exercise6.Exercise6_33.HF2 [in HF2]
F
FiniteSets.BnatIinterval.a [in a]FiniteSets.BnatIinterval.ab [in ab]
FiniteSets.BnatIinterval.b [in b]
FiniteSets.BnatIinterval.bB [in bB]
FiniteSets.LatticeProps.E [in E]
FiniteSets.LatticeProps.lr [in lr]
FiniteSets.LatticeProps.r [in r]
Function.Vprops.f [in f]
Function.Vprops.fgf [in fgf]
I
IntegerProps.Base_b_expansion.b [in b]IntegerProps.Base_b_expansion.f [in f]
IntegerProps.Base_b_expansion.g [in g]
IntegerProps.Base_b_expansion.k [in k]
IntegerProps.Base_b_expansion.k' [in k']
IntegerProps.Base_b_expansion.Exp [in Exp]
IntegerProps.Base_b_expansion.Expg [in Expg]
IntegerProps.FiniteIntFam.f [in f]
IntegerProps.FiniteIntFam.fif [in fif]
IntegerProps.IntervalBnatwo.a [in a]
IntegerProps.IntervalBnatwo.aB [in aB]
IntegerProps.IntervalBnatwo.b [in b]
IntegerProps.IntervalBnatwo.bB [in bB]
IntegerProps.IntervalBnatwo1.a [in a]
IntegerProps.IntervalBnatwo1.aB [in aB]
IntegerProps.ModuloProps.B [in B]
IntegerProps.ModuloProps.Bn [in Bn]
IntegerProps.ModuloProps.Bnz [in Bnz]
N
NumberSums.NdsNat.F [in F]NumberSums.NdsNat.Fr1 [in Fr1]
NumberSums.NdsNat.Fr2 [in Fr2]
NumberSums.NdsNat.F0 [in F0]
NumberSums.NdsNat.F1 [in F1]
NumberSums.NdsStudy.e [in e]
NumberSums.NdsStudy.fL [in fL]
NumberSums.NdsStudy.k [in k]
NumberSums.NdsStudy.kBp [in kBp]
NumberSums.NdsStudy.kln [in kln]
NumberSums.NdsStudy.n [in n]
NumberSums.NdsStudy.nB [in nB]
NumberSums.NdsStudy.pL [in pL]
NumberSums.NdsStudy.pS [in pS]
NumberSums.NdsStudy.rp [in rp]
NumberSums.NdsStudy.X [in X]
NumberSums.NdsStudy.Xax [in Xax]
NumberSums.NdsStudy1.ax [in ax]
NumberSums.NdsStudy1.cc [in cc]
NumberSums.NdsStudy1.ee [in ee]
NumberSums.NdsStudy1.n [in n]
NumberSums.NdsStudy1.nB [in nB]
NumberSums.NdsStudy1.np [in np]
NumberSums.NdsStudy1.rr [in rr]
NumberSums.NdsStudy1.X [in X]
O
Ordinals1.InfiniteNormal.C [in C]Ordinals1.InfiniteNormal.E [in E]
Ordinals1.InfiniteNormal.iC [in iC]
Ordinals2.All_derivatives.b [in b]
Ordinals2.All_derivatives.f [in f]
Ordinals2.All_derivatives.g [in g]
Ordinals2.All_derivatives.bf [in bf]
Ordinals2.All_derivatives.nf [in nf]
Ordinals2.OrdinalInduction.f [in f]
Ordinals2.OrdinalInduction.fv [in fv]
Ordinals2.OrdinalInduction.g [in g]
Ordinals2.OrdinalInduction.u [in u]
Ordinals2.OrdinalInduction.w0 [in w0]
Ordinals2.OrdinalInduction.w1 [in w1]
Ordinals2.OrdinalInduction2.f [in f]
Ordinals2.OrdinalInduction2.fv [in fv]
Ordinals2.OrdinalInduction2.g [in g]
Ordinals2.OrdinalInduction2.u [in u]
Ordinals2.OrdinalInduction2.w0 [in w0]
Ordinals3.CNF_baseb.b [in b]
Ordinals3.CNF_baseb.bg2 [in bg2]
Ordinals5.Exercise3_3.f [in f]
Ordinals5.Exercise3_3.g [in g]
Ordinals5.Exercise3_3.fgf [in fgf]
Ordinals5.Exercise3_3.fgg [in fgg]
Ordinals5.Exercise3_3.hg [in hg]
Ordinals5.Exercise3_3.sd [in sd]
Ordinals5.GenContHypothesis_Props.gch [in gch]
R
RationalIntegers.BZdiffProps.x [in x]RationalIntegers.BZdiffProps.xz [in xz]
RationalIntegers.BZdiffProps.y [in y]
RationalIntegers.BZdiffProps.yz [in yz]
RationalIntegers.BZdiffProps.z [in z]
RationalIntegers.BZdiffProps.zz [in zz]
RationalIntegers.BZdiffProps2.x [in x]
RationalIntegers.BZdiffProps2.xz [in xz]
RationalIntegers.BZdiffProps2.y [in y]
RationalIntegers.BZdiffProps2.yz [in yz]
RationalIntegers.BZdiffProps2.z [in z]
RationalIntegers.BZdiffProps2.zz [in zz]
Realisation.Foundation.AF [in AF]
Realisation.InaccessibleUniverse.a [in a]
Realisation.InaccessibleUniverse.ia [in ia]
Realisation.ModelTheory.R [in R]
Realisation.ModelTheory.U [in U]
Realisation.UniversePermutation.f [in f]
Realisation.UniversePermutation.fg [in fg]
Realisation.UniversePermutation.g [in g]
Realisation.UniversePermutation.gf [in gf]
Realisation.UniversePermutation.inc' [in inc']
Realisation.UniversePermutation.U [in U]
Relation.CanonProj.er [in er]
Relation.CanonProj.r [in r]
Relation.Class.er [in er]
Relation.Class.r [in r]
Relation.EquivalenceAssociated.f [in f]
Relation.EquivalenceAssociated.ff [in ff]
Relation.FinerEquivalence.fa [in fa]
Relation.FinerEquivalence.r [in r]
Relation.FinerEquivalence.s [in s]
Relation.InducedRelation.a [in a]
Relation.InducedRelation.ira [in ira]
Relation.InducedRelation.r [in r]
Relation.InSameCoset.f [in f]
Relation.InSameCoset.ff [in ff]
Relation.InSameCoset.fpa [in fpa]
Relation.InSameCoset.x [in x]
Relation.QuotientRelations.fa [in fa]
Relation.QuotientRelations.fe [in fe]
Relation.QuotientRelations.r [in r]
Relation.QuotientRelations.s [in s]
restricted_recursion.A [in A]
restricted_recursion.P [in P]
restricted_recursion.R [in R]
RingFormulas.R [in R]
RingPoly.R [in R]
S
Sequences.A [in A]Sequences.R [in R]
Sequences.W [in W]
Stirling.Partition.aT [in aT]
Stirling.Partition.f [in f]
Stirling.Partition.rT [in rT]
U
Union.UnionDef.f [in f]Union.UnionDef.I [in I]
W
Worder.OrderSumBasic.g [in g]Worder.OrderSumBasic.osa [in osa]
Worder.OrderSumBasic.r [in r]
Worder.OrderSum2Basic.or [in or]
Worder.OrderSum2Basic.or' [in or']
Worder.OrderSum2Basic.r [in r]
Worder.OrderSum2Basic.r' [in r']
Worder.TransfinitePrinciple.adj_stable [in adj_stable]
Worder.TransfinitePrinciple.r [in r]
Worder.TransfinitePrinciple.s [in s]
Worder.TransfinitePrinciple.u_stable [in u_stable]
Worder.TransfinitePrinciple.wor [in wor]
Library Index
S
ssete1ssete2
ssete3
ssete4
ssete5
ssete6
ssete7
ssete8
ssete9
sset1
sset10
sset10b
sset11
sset12
sset13
sset14
sset15
sset16
sset2
sset3
sset4
sset5
sset6
sset7
sset8
sset9
| Global Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (7995 entries) |
| Lemma Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (6034 entries) |
| Section Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (91 entries) |
| Constructor Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (32 entries) |
| Notation Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (114 entries) |
| Abbreviation Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (8 entries) |
| Inductive Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (17 entries) |
| Definition Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (1264 entries) |
| Module Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (54 entries) |
| Axiom Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (19 entries) |
| Variable Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (336 entries) |
| Library Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (26 entries) |
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