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/1634.v | 24 ++++++++++++++++++++++++ 1 file changed, 24 insertions(+) create mode 100644 test-suite/bugs/closed/shouldsucceed/1634.v (limited to 'test-suite/bugs/closed/shouldsucceed/1634.v') diff --git a/test-suite/bugs/closed/shouldsucceed/1634.v b/test-suite/bugs/closed/shouldsucceed/1634.v new file mode 100644 index 00000000..e0c540f3 --- /dev/null +++ b/test-suite/bugs/closed/shouldsucceed/1634.v @@ -0,0 +1,24 @@ +Require Export Relation_Definitions. +Require Export Setoid. + +Variable A : Type. +Variable S : A -> Type. +Variable Seq : forall {a:A}, relation (S a). + +Hypothesis Seq_refl : forall {a:A} (x : S a), Seq x x. +Hypothesis Seq_sym : forall {a:A} (x y : S a), Seq x y -> Seq y x. +Hypothesis Seq_trans : forall {a:A} (x y z : S a), Seq x y -> Seq y z -> +Seq x z. + +Add Parametric Relation a : (S a) Seq + reflexivity proved by Seq_refl + symmetry proved by Seq_sym + transitivity proved by Seq_trans + as S_Setoid. + +Goal forall (a : A) (x y : S a), Seq x y -> Seq x y. + intros a x y H. + setoid_replace x with y. + reflexivity. + trivial. +Qed. -- cgit v1.2.3