diff options
author | Enrico Tassi <gareuselesinge@debian.org> | 2015-01-25 14:42:51 +0100 |
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committer | Enrico Tassi <gareuselesinge@debian.org> | 2015-01-25 14:42:51 +0100 |
commit | 7cfc4e5146be5666419451bdd516f1f3f264d24a (patch) | |
tree | e4197645da03dc3c7cc84e434cc31d0a0cca7056 /test-suite/bugs/closed/1634.v | |
parent | 420f78b2caeaaddc6fe484565b2d0e49c66888e5 (diff) |
Imported Upstream version 8.5~beta1+dfsg
Diffstat (limited to 'test-suite/bugs/closed/1634.v')
-rw-r--r-- | test-suite/bugs/closed/1634.v | 24 |
1 files changed, 24 insertions, 0 deletions
diff --git a/test-suite/bugs/closed/1634.v b/test-suite/bugs/closed/1634.v new file mode 100644 index 00000000..0150c250 --- /dev/null +++ b/test-suite/bugs/closed/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. |