]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/matita/tests/unfold.ma
- renamed ocaml/ to components/
[helm.git] / helm / matita / tests / unfold.ma
diff --git a/helm/matita/tests/unfold.ma b/helm/matita/tests/unfold.ma
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-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||M||                                                             *)
-(*      ||A||       A project by Andrea Asperti                           *)
-(*      ||T||                                                             *)
-(*      ||I||       Developers:                                           *)
-(*      ||T||         The HELM team.                                      *)
-(*      ||A||         http://helm.cs.unibo.it                             *)
-(*      \   /                                                             *)
-(*       \ /        This file is distributed under the terms of the       *)
-(*        v         GNU General Public License Version 2                  *)
-(*                                                                        *)
-(**************************************************************************)
-
-set "baseuri" "cic:/matita/unfold".
-
-include "legacy/coq.ma".
-
-alias symbol "plus" (instance 0) = "Coq's natural plus".
-definition myplus \def \lambda x,y. x+y.
-
-alias id "S" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1/2)".
-lemma lem: \forall n. S (n + n) = (S n) + n.
- intro; reflexivity.
-qed.
-
-theorem trivial: \forall n. S (myplus n n) = myplus (S n) n.
- unfold myplus in \vdash (\forall _.(? ? ? %)).
- intro.
- unfold myplus.
- rewrite > lem.
- reflexivity.
-qed.
-
-(* This test needs to parse "uno" in the context of the hypothesis H,
-   not in the context of the goal. *)
-alias id "O" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1/1)".
-theorem t: let uno \def S O in uno + uno = S uno \to uno=uno.
- intros. unfold uno in H.
- reflexivity.
-qed.