"`bF$q,automorphism(fingroup(mathcomp@()Notations$Init#Coq@%Logic$Init#Coq@*Logic_Type$Init#Coq@)Datatypes$Init#Coq@&Specif$Init#Coq@%Peano$Init#Coq@"Wf$Init#Coq@'Tactics$Init#Coq@%Tauto$Init#Coq@'Prelude$Init#Coq@)Notations$Init#Coq@0&v!D]hwnv %Logic$Init#Coq@0\͉!Ig)Datatypes$Init#Coq@0.i bYN Z*Logic_Type$Init#Coq@0 1jc6&Specif$Init#Coq@0;RWMi\N'Decimal$Init#Coq@0C涳N*ua#Nat$Init#Coq@0eʤģPSR蠠%Peano$Init#Coq@0 jha|ؠ"Wf$Init#Coq@0q+W,J+'Tactics$Init#Coq@0/9m+ a%Tauto$Init#Coq@0̂"&/rk0JqTttֱ$Bool#Coq@0j 2cZ`FW+ssrmatching#Coq@0L1T=>)ssreflect#ssr#Coq@0 zv)ssreflect(mathcomp@0tn|kN0 D/O&ssrfun#ssr#Coq@01 ZP"};o{'ssrbool#ssr#Coq@0X% 'ssrbool)ssreflect(mathcomp@0o: n߂Q,ssrnotations)ssreflect(mathcomp@0hPB &ssrfun)ssreflect(mathcomp@0âNO=(V&eqtype)ssreflect(mathcomp@0Wn"2&=zH0;&ssrnat)ssreflect(mathcomp@0ͧMy}yWߘ#seq)ssreflect(mathcomp@0=~(sV,Aڠ&choice)ssreflect(mathcomp@02*{;"W$^6'fintype)ssreflect(mathcomp@0ǒ3fp#div)ssreflect(mathcomp@0W~ě o+ N%tuple)ssreflect(mathcomp@0ýޑР&finfun)ssreflect(mathcomp@0ƜNtD砠$path)ssreflect(mathcomp@0*%)bhcFrY%bigop)ssreflect(mathcomp@0#z xW :G؂b&finset)ssreflect(mathcomp@0 @$$~,B|XŠ%prime)ssreflect(mathcomp@0.wFbN_(fingroup(mathcomp@0c"65rk(binomial)ssreflect(mathcomp@0io  } $perm(fingroup(mathcomp@0R 嫁_]U(morphism(fingroup(mathcomp@0ď \n.v(˴ꍇ2xpVg{sW*TР,automorphism(fingroup(mathcomp@A#Aut @"gT@(FinGroup@$typeKu@!A&finset)ssreflect@&set_of514@+arg_finTypeXs"@$baseIq䀐A#ssr#Coq@@%phant)`@A9@(arg_sortڀ1&SetDef@1">G뀠$permH@0perm_for_finType&䄀72B!a'fintypeL&Finite@$sort X)Datatypes$Init;@$andb=*@'perm_on!q^YC(U(morphism~@'morphic,By  2A'PermDef@+fun_of_perm +k() + 7 7 7 7%'7 7 7!7 7 7 7"7%' |x2蠒AbP/Dt\@@@ DA*sRk@A@@AA@@A@+Aut_morphic @@@ʶt@'perm_of!q@q@'is_true#œ'ssrbool@&in_mem&0qsĩ@#memڕ@,predPredType>h` @+pred_of_set#*:̀@΀7DÐ@@@d@A*=A*ˠ?@:dޠRA*ZE@A*ɔI@ A@ABCD@@p'out_Aut @@IA97+)m!xF@gbv/ 1Z8UPKAֶ@}@$negbFAEy p k Z%Logic@"eq @^YFn@@@@Ag@c@A]@Z@eA1DH@ABCD@@͠&eq_Aut @@B@(prop_in26BDYMzLط!b@@(prop_in16Udð9}KZ1Z>3\g@)inPhantoma^H&ssrfun@%eqfunF`FdsuZ64@@@'@A@AY@ABA'hyx@@A@@AA+rz @e@A1GK@ABCDE@@3$autm @0%AutAa(@&morphm:Jf󩚠@G==@ C9@˩@KM +k() 7 7 7 7! 7# 'РPhx& \@@@v@A@ @@ABC@@s%autmE @@LC<:.,p@fѰ/9@PB91@@@@AA@-@(@#@ABCD@@-autm_morphism @WUIG"aM@!J@APP#@%elimTɀ2&!y8bs@$mulg ;&Sn* pYŐ@*morphism_2voEExRF }@(morphicP!@>ʶ?< +k()     7  7 7 7!   7   7 7 7!   7 p, +} +7 7 7!7 7 7 7 77   +k  7 7 7! 7 7 7 7  7 7 7 7" 7 7 7 77  7:'() 7 7&'() 7 7&'()7 7 7" 7 7 7"7 7" 7 7"7 7 7"7 7 7&'H 蠒DpP,\T(||xqSl@Q1PK\8hՐ8J `(|`4$Q@@@@-Aut_group_set @@D㶐!Gr@(group_of!QBé{@)group_set.ꀠ@4perm_of_finGroupType@$gval Qb@@@PA(C@ASA@@ABA(iР!H@@A@@,@(@ABCDE@@X)Aut_group @!<:@%group!mAG1+!@Oĩa@/-JHH:@ +k() 7! 7! 7! 7 7 7 7&'\h<L%RtM|3h@@@@@)injm_autm @@nE^\yw%AutGa}<xsohscm_)SubsetDef@&subset 0cȩ{g@#ker)Krqq2~@:.џx4a @*MorPhantom"̀R "@$oneg m)@7group_set_baseGroupType.Ӏ@@@A@@AB@@ꠠ(ker_autm @@F̶[USH=#G@:group_set_of_baseGroupTypeڼ9@@@ @A@@A @@ABCD@@ 'im_autm @@GҶ|vtiȠ@'finType0hɩ e@'morphim,BÃgf`gg@@@6@A@@ABA@@A,@@A@@A9=@ABCDE@@<*Aut_closed @@H 9X@1,;6) @@@A@A@@@ABC@@f$Aut1 @@?I/-  ې1@8perm_of_baseFinGroupType@@@A]@Ak@*@AB$@!@@b@ABCD@@+perm_in_inj @@kJ!T@U2@TR:9 >!f@$injf{ vi"x1"x2"e@&-[+  0ɐ@)injectiveЀ$$f#sBf&%Imset@%imset,CP,W!++r,РF@$boolZ'@@@@@@@@@C} _Gް9Ѱ;Ȑ=@@@A(?z@AA)ZA@@AB@@AA*΀@O@A1FdJi@@ABCDE@@'perm_in @~{yYWa@΀D@=x@jh.Ґ~ |+k() 7  + 7&'7!7 7 7 7" 7 7"= R'$'''+k7$'  h!h2ࠒ&m@@A@AA.|@@@@@d*perm_in_on @@=Kж˶ĶX!-@Y%ŒD@@@㳠L&eqtype,A@Au@ @AB@@"A*=e@[@ABCD@@(perm_inE @@dLFĩةkکb^\K#ݩکװ.Q :ߠ6@@@@AK@F@ABB@@@@ABCD@@,morphim_fixP @@M}{@,morphism_for!TԀ..OQ&h@$mfun)Vԑ/q`%'`@͐8GKBK$Bool@'reflectc@LCeFF9HH2JJqqY ܰ ͠ YѠY|@@@A @A@@AB@A1HLm@A@@AB@@A@A,b*K@_@ABCDE@@)*aut_closed @@N  un"Gf!wpi{{{')  o z@@@2@A@M@@ABC@@W#aut @ ;9.,S@ vww4yީ{{ ʰH0k4ӰVݩF9̩>^N𩚠@%injmP*'CGS@t[j@a_|zݶom; H+k() 7       77 7 7 7 7 7!7 7 7 7 7 7 7 7" ,7!7  7"   7! 77 7 7!7 7 7 7  7 7 7 7"7 7 7" p7!7 7 7  7 7 7"7    +f  7! 7 7 7! 7 7 7 7 7 7 7 7" 7 7 7 77 7!77!7 7 7# '() +. 7!7 7!77 7 7"T'7 7 7&'\אMDh0T4x@$zd<(@HX<ސl,ܠ%͐x;"Ƞ` xTHi &:4P|0t<L 0Р@@@@@$autE @@OضXBS;˩deXO>O@k:RR ttKt ɐ@@@@@@ABC@@+morphic_aut @@Pizbl@@@@A@@AB@@@@ABCD@@7'Aut_aut @@Q| +&1 @@@?@A@@AB@Q@@1@ABCD@@\*imset_autE @@5R%#@>31V@SA1 ư%  ߐ w/ĩT K Ec@@@@Ap@b@AB/@@@,@ABCD@@*preim_autE @@pS`^{yܶnlV;@:2W@(preimsetw740,@(morphpre!,@@@@A@V@A@Q@@ABCD@@1Aut_isom_subproof @@T"rT4!D)k()8<3<!:<Kx>@|Z#sGDѐ<3775Ű==;;a_s&SpecifW@$sig2#6@"a'tݐ ؠ ӠIc{VO +.@ ՐА   T吩J      ѷԩM@'funcomp5πߐK@$unitUe@A& $*o,Ӑ   upH)&+K9`?;©.0Q4D%@@@Af@AA'kmD@@ABA@A+~Z!@A @@ABCA8A@=A+Ql,@A@A+ˠr/@@ABq@@A@A@B@ABC@?@A;@FA+a\;@AB@@@LA8ܠD@ABCDEF@@(Aut_isom @}{|Ȑ$domG"@'sub_mem*Xv怰TVL[.\Ra+e@@'subsetPY4mzL֩i@%s2val'݀޷ߩ֐Ѱİǩک|</@搩ᰩg{nװΐɠĠ$ؐӠ֠kLéXeOȩ  dũ1,کשlЩ@3S & !C@ { ywuso_]MM +k()        7 ++7 7 7 7 7# ' +N7!7!7 7 7 7!7 7 7 7 7 7 7 7 7 7"7 7 7 7 7"7 T';7 7 7! 7!7L7 7 7 7 7 7 7 7 <7!77 7 7!L7 7 7 7 7 7 7 7 77 7 7 7 7 77 +;7!7 7 7!7 7 7 7 7 7 7 7"7 7 7 7#';7 7 7! 7!7L7 7 7 7 7 7 7 7 = 7!77 7 7!L7 7 7 7 7 7 7 7 77 7 7 7&''7!  7!77"7!77!7 7 7 7!7 7 7 7 7 7 7 7 7 7" 7 7 7 7 7"7$'` t 0lP$`h4 h0D( hĠg X̠Qt\t4H  T xLH D蠒T\X($lp< U P>hb \+PA$@4HU ` T H蠒 $  H 8ܠh 7d  <x0lt@< ,tЀ@@@@A@8A8**@AB|@@A=@9@A5@z@@ABCDE@@,Aut_Aut_isom @@ U o m n ݶ˶ r@<̀ Bl  ( Uǩɩɩ~˩LͩN%xPѩR|T@@@M@AL@;@AB@6@Av@q@ABm@@@.@ABCDE@@ߠ)Aut_isomE @@ V  "  C> U@אҰ Űߩ|*ͰĐܷ ѩV <֩N  Kc K5M 7O D Q @@A@@ )Aut_isomM @@ W  ܶX ݶVTRyPtL<:M+-f-/Y2 v 5s s2  T*   Ӡ "D  C~K  N   Q=   WB  @@@ `A@A a@ bA@AB@@A @A@ABC@@A@:@@7@ABCDE@@ g1Aut_isom_morphism @ 0 . /LЩAgB )  婚 5@jؓ`@ C A B_Sb +k()       7        7:'`ې@@@@@ -injm_Aut_isom @@ sX c a b۶׶նѶ  P K7   { v A0 s@V%.荀vH7y  @@@ @AD@ p@AB j@ e@ b@@ABCD@@ Ҡ+im_Aut_isom @@ Y   6 1  3 ʐ ^ } Oud4/ũ  2 4 4' 6  8 8$@@@ @A@s@AB@ @A @ @@ABCD@@ )Aut_isomP @@ Z  ȶD ɶB@>e<`8(&  R@$isom)V{G*А@@@@@ (injm_Aut @@ [  ^ \ZXVzRB@  l@$isog)V{AD @@@ @ @AB@@ 7&conjgm @  @   + @%conjg!d_   @  @   6  @+k() 7&'l@@ `@@ Z'conjgmE @@ 3\ # !    N 8  @3+ *@@@ u@@AB@@ q/conjgm_morphism @ : 8 , *  e       `@$in2Wb Y Y F   \!z  ߰ <L ۰   ( ԩݰ R   ةT  . ڷ l @&conjMg0&~   7 @ c a U S ) ̰    +k()4+:+C7 7 7!7 7 7!7 7 7 7 7 7":'() 7#'() 7" 7"7 7" 7 7"7"7 7 7&', IX0䠒pl ; xp  lZ*8  od@@@ @ A t@ K@ABC@@ ՠ,morphim_conj @@ ]     d ɶ!B  * y 8ϩ   + @{&N  1 X$    =@)conjugate97)t  @$setI#QS  B  i@@@ @ @@ABC@@ )injm_conj @@ ^  Ͷ   c Z  J ֠ ^[ \ \n1 ^p Q ` `D@@@ @<@ @ABC@@ %)conj_isom @@ _         u uA@@@ @A@ @2@ @ABCD@@ <)conj_isog @@ `      0 .  @@@@@ M-norm_conjg_im @@ &a   1 / ܩ  ƶ@ A <   /    @*normaliser۞ր QE    ֩  @@@ R@AC@ @An@ @ @ABCD@@ y.norm_conj_isom @@ Rb B @ ] [ ,@+ lu 5 5@@@ '@ "@ @ABC@@ (conj_aut @ W U r p     𩚠 @%sgval! 婚 @0normaliser_group  @$subg ?   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