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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/3258.v
parent420f78b2caeaaddc6fe484565b2d0e49c66888e5 (diff)
Imported Upstream version 8.5~beta1+dfsg
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+Require Import Coq.Classes.Morphisms Coq.Classes.RelationClasses Coq.Program.Program Coq.Setoids.Setoid.
+
+Global Set Implicit Arguments.
+
+Hint Extern 0 => apply reflexivity : typeclass_instances.
+
+Inductive Comp : Type -> Type :=
+| Pick : forall A, (A -> Prop) -> Comp A.
+
+Axiom computes_to : forall A, Comp A -> A -> Prop.
+
+Axiom refine : forall {A} (old : Comp A) (new : Comp A), Prop.
+
+Global Instance refine_PreOrder A : PreOrder (@refine A).
+Admitted.
+Add Parametric Morphism A
+: (@Pick A)
+ with signature
+ (pointwise_relation _ (flip impl))
+ ==> (@refine A)
+ as refine_flip_impl_Pick.
+ admit.
+Defined.
+Definition remove_forall_eq' A x B (P : A -> B -> Prop) : pointwise_relation _ impl (P x) (fun z => forall y : A, y = x -> P y z).
+ admit.
+Defined.
+Goal forall A B (x : A) (P : _ -> _ -> Prop),
+ refine (Pick (fun n : B => forall y, y = x -> P y n))
+ (Pick (fun n : B => P x n)).
+Proof.
+ intros.
+ setoid_rewrite (@remove_forall_eq' _ _ _ _).
+ Undo.
+ (* This failed with NotConvertible at some time *)
+ setoid_rewrite (@remove_forall_eq' _ _ _).