diff options
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. |