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authorGravatar Enrico Tassi <gareuselesinge@debian.org>2015-01-25 14:42:51 +0100
committerGravatar Enrico Tassi <gareuselesinge@debian.org>2015-01-25 14:42:51 +0100
commit7cfc4e5146be5666419451bdd516f1f3f264d24a (patch)
treee4197645da03dc3c7cc84e434cc31d0a0cca7056 /test-suite/bugs/closed/2900.v
parent420f78b2caeaaddc6fe484565b2d0e49c66888e5 (diff)
Imported Upstream version 8.5~beta1+dfsg
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+(* Was raising stack overflow in 8.4 and assertion failed in future 8.5 *)
+Set Implicit Arguments.
+
+Require Import List.
+Require Import Coq.Program.Equality.
+
+(** Reflexive-transitive closure ( R* ) *)
+
+Inductive rtclosure (A : Type) (R : A-> A->Prop) : A->A->Prop :=
+ | rtclosure_refl : forall x,
+ rtclosure R x x
+ | rtclosure_step : forall y x z,
+ R x y -> rtclosure R y z -> rtclosure R x z.
+ (* bug goes away if rtclosure_step is commented out *)
+
+(** The closure of the trivial binary relation [eq] *)
+
+Definition tr (A:Type) := rtclosure (@eq A).
+
+(** The bug *)
+
+Lemma bug : forall A B (l t:list A) (r s:list B),
+ length l = length r ->
+ tr (combine l r) (combine t s) -> tr l t.
+Proof.
+ intros * E Hp.
+ (* bug goes away if [revert E] is called explicitly *)
+ dependent induction Hp.