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| author |  Samuel Mimram <smimram@debian.org> | 2008-07-25 15:12:53 +0200 |
|---|---|---|
| committer | Samuel Mimram <smimram@debian.org> | 2008-07-25 15:12:53 +0200 |
| commit | a0cfa4f118023d35b767a999d5a2ac4b082857b4 (patch) | |
| tree | dabcac548e299fee1da464c93b3dba98484f45b1 /test-suite/success/setoid_test.v | |
| parent | 2281410e38ef99d025ea77194585a9bc019fdaa9 (diff) | |
Imported Upstream version 8.2~beta3+dfsgupstream/8.2.beta3+dfsg
Diffstat (limited to 'test-suite/success/setoid_test.v')
| -rw-r--r-- | test-suite/success/setoid_test.v | 14 |
1 files changed, 13 insertions, 1 deletions
diff --git a/test-suite/success/setoid_test.v b/test-suite/success/setoid_test.v index dd1022f0..f49f58e5 100644 --- a/test-suite/success/setoid_test.v +++ b/test-suite/success/setoid_test.v @@ -18,7 +18,7 @@ Definition same (s t : set) : Prop := forall a : A, In a s <-> In a t. Lemma setoid_set : Setoid_Theory set same. -unfold same in |- *; split. +unfold same in |- *; split ; red. red in |- *; auto. red in |- *. @@ -104,3 +104,15 @@ setoid_rewrite <- H. trivial. Qed. +(* Unifying the domain up to delta-conversion (example from emakarov) *) + +Definition id: Set -> Set := fun A => A. +Definition rel : forall A : Set, relation (id A) := @eq. +Definition f: forall A : Set, A -> A := fun A x => x. + +Add Relation (id A) (rel A) as eq_rel. + +Add Morphism (@f A) : f_morph. +Proof. +unfold rel, f. trivial. +Qed. |