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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/shouldsucceed/1634.v
parent420f78b2caeaaddc6fe484565b2d0e49c66888e5 (diff)
Imported Upstream version 8.5~beta1+dfsg
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-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.