From a0cfa4f118023d35b767a999d5a2ac4b082857b4 Mon Sep 17 00:00:00 2001 From: Samuel Mimram Date: Fri, 25 Jul 2008 15:12:53 +0200 Subject: Imported Upstream version 8.2~beta3+dfsg --- test-suite/bugs/closed/shouldsucceed/38.v | 22 ++++++++++++++++++++++ 1 file changed, 22 insertions(+) create mode 100644 test-suite/bugs/closed/shouldsucceed/38.v (limited to 'test-suite/bugs/closed/shouldsucceed/38.v') diff --git a/test-suite/bugs/closed/shouldsucceed/38.v b/test-suite/bugs/closed/shouldsucceed/38.v new file mode 100644 index 00000000..7bc04b1f --- /dev/null +++ b/test-suite/bugs/closed/shouldsucceed/38.v @@ -0,0 +1,22 @@ +Require Import Setoid. + +Variable A : Set. + +Inductive liste : Set := +| vide : liste +| c : A -> liste -> liste. + +Inductive e : A -> liste -> Prop := +| ec : forall (x : A) (l : liste), e x (c x l) +| ee : forall (x y : A) (l : liste), e x l -> e x (c y l). + +Definition same := fun (l m : liste) => forall (x : A), e x l <-> e x m. + +Definition same_refl (x:liste) : (same x x). + unfold same; split; intros; trivial. +Save. + +Goal forall (x:liste), (same x x). + intro. + apply (same_refl x). +Qed. -- cgit v1.2.3