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authorGravatar Enrico Tassi <gareuselesinge@debian.org>2015-11-13 11:43:34 +0100
committerGravatar Enrico Tassi <gareuselesinge@debian.org>2015-11-13 11:43:34 +0100
commit4e76c4f01b69b77f40686e06c4544aa156efaa5a (patch)
treeaefad2e3de35f75c46729f9310d33b56d3821961 /test-suite/bugs/closed/4232.v
parent64fa31c7ee53e79b112507fb2eea27dc7648328d (diff)
parent91dbeab8eef959c3f64960909ca69d4e68c8198d (diff)
Imported Upstream version 8.5~beta3+dfsg
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+Require Import Setoid Morphisms Vector.
+
+Class Equiv A := equiv : A -> A -> Prop.
+Class Setoid A `{Equiv A} := setoid_equiv:> Equivalence (equiv).
+
+Global Declare Instance vec_equiv {A} `{Equiv A} {n}: Equiv (Vector.t A n).
+Global Declare Instance vec_setoid A `{Setoid A} n : Setoid (Vector.t A n).
+
+Global Declare Instance tl_proper1 {A} `{Equiv A} n:
+ Proper ((equiv) ==> (equiv))
+ (@tl A n).
+
+Lemma test:
+ forall {A} `{Setoid A} n (xa ya: Vector.t A (S n)),
+ (equiv xa ya) -> equiv (tl xa) (tl ya).
+Proof.
+ intros A R HA n xa ya Heq.
+ setoid_rewrite Heq.
+ reflexivity.
+Qed.