diff options
author | Samuel Mimram <smimram@debian.org> | 2008-07-25 15:12:53 +0200 |
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committer | Samuel Mimram <smimram@debian.org> | 2008-07-25 15:12:53 +0200 |
commit | a0cfa4f118023d35b767a999d5a2ac4b082857b4 (patch) | |
tree | dabcac548e299fee1da464c93b3dba98484f45b1 /test-suite/bugs/closed/shouldsucceed/1634.v | |
parent | 2281410e38ef99d025ea77194585a9bc019fdaa9 (diff) |
Imported Upstream version 8.2~beta3+dfsgupstream/8.2.beta3+dfsg
Diffstat (limited to 'test-suite/bugs/closed/shouldsucceed/1634.v')
-rw-r--r-- | test-suite/bugs/closed/shouldsucceed/1634.v | 24 |
1 files changed, 24 insertions, 0 deletions
diff --git a/test-suite/bugs/closed/shouldsucceed/1634.v b/test-suite/bugs/closed/shouldsucceed/1634.v new file mode 100644 index 00000000..e0c540f3 --- /dev/null +++ b/test-suite/bugs/closed/shouldsucceed/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. |