From c981c0974e76eab39d916f79374b6432cf188558 Mon Sep 17 00:00:00 2001 From: herbelin Date: Thu, 11 Mar 2004 22:33:52 +0000 Subject: Ajout d'un vieil exemple de N. Magaud git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@5457 85f007b7-540e-0410-9357-904b9bb8a0f7 --- test-suite/success/eauto.v | 13 ++++++++++++- 1 file changed, 12 insertions(+), 1 deletion(-) diff --git a/test-suite/success/eauto.v b/test-suite/success/eauto.v index 8a5e146d4e..999cb1212a 100644 --- a/test-suite/success/eauto.v +++ b/test-suite/success/eauto.v @@ -33,6 +33,17 @@ Intros. EAuto with essai. Save. +(* Example from Nicolas Magaud on coq-club - Jul 2000 *) +Definition Nat: Set := nat. +Parameter S':Nat ->Nat. +Parameter plus':Nat -> Nat ->Nat. - +Lemma simpl_plus_l_rr1: + ((n0:Nat) ((m, p:Nat) (plus' n0 m)=(plus' n0 p) ->m=p) -> + (m, p:Nat) (S' (plus' n0 m))=(S' (plus' n0 p)) ->m=p) -> + (n:Nat) ((m, p:Nat) (plus' n m)=(plus' n p) ->m=p) -> + (m, p:Nat) (S' (plus' n m))=(S' (plus' n p)) ->m=p. +Intros. +EAuto. (* does EApply H *) +Qed. -- cgit v1.2.3