helm/matita/tests/unfold.ma

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  14
  15 set "baseuri" "cic:/matita/unfold".
  16
  17 include "coq.ma".
  18
  19 alias symbol "plus" (instance 0) = "Coq's natural plus".
  20 definition myplus \def \lambda x,y. x+y.
  21
  22 lemma lem: \forall n. S (n + n) = (S n) + n.
  23  intro; reflexivity.
  24 qed.
  25
  26 theorem trivial: \forall n. S (myplus n n) = myplus (S n) n.
  27  unfold myplus in \vdash \forall _.(? ? ? %).
  28  intro.
  29  unfold myplus.
  30  rewrite > lem.
  31  reflexivity.
  32 qed.
  33
  34 (* This test needs to parse "uno" in the context of the hypothesis H,
  35    not in the context of the goal. *)
  36 theorem t: let uno \def S O in uno + uno = S uno \to uno=uno.
  37  intros. unfold uno in H.