helm/matita/tests/simpl.ma

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  14
  15 set "baseuri" "cic:/matita/tests/simpl/".
  16 include "coq.ma".
  17
  18 alias id "not" = "cic:/Coq/Init/Logic/not.con".
  19 alias symbol "eq" (instance 0) = "Coq's leibnitz's equality".
  20 theorem a :
  21  \forall A:Set.
  22  \forall x,y : A.
  23  not (x = y) \to not(y = x).
  24 intros.
  25 simplify.
  26 intro. apply H.
  27 symmetry.
  28 exact H1.
  29 qed.