Module top_misc

Require Export pow.
Require Export Div2.
Require Export Even.

Lemma divltle2 : (c:nat)(lt O (div2 c))->(le (2) c).

Lemma div2_thm1 : (c:nat)(le (O) c)->(le (pred c) (plus (div2 c) (div2 c))).

Lemma div2_thm2 : (c:nat)(le (2) c)->(le (pred c) (plus (div2 c) (div2 c))).

Lemma div2_01 : (c:nat)(div2 c)=O->c=O\/c=(1).

Lemma div2_thm3 : (c:nat)(le (pred c) (plus (div2 c) (div2 c))).

Lemma div2_thm4 : (c:nat)(le (mult (2) (div2 c)) c).


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