diff options
Diffstat (limited to 'test-suite/success/setoid_test_function_space.v')
| -rw-r--r-- | test-suite/success/setoid_test_function_space.v | 8 |
1 files changed, 4 insertions, 4 deletions
diff --git a/test-suite/success/setoid_test_function_space.v b/test-suite/success/setoid_test_function_space.v index ead93d91..381cda2c 100644 --- a/test-suite/success/setoid_test_function_space.v +++ b/test-suite/success/setoid_test_function_space.v @@ -9,11 +9,11 @@ Hint Unfold feq. Lemma feq_refl: forall f, f =f f. intuition. Qed. - + Lemma feq_sym: forall f g, f =f g-> g =f f. intuition. Qed. - + Lemma feq_trans: forall f g h, f =f g-> g =f h -> f =f h. unfold feq. intuition. rewrite H. @@ -22,7 +22,7 @@ Qed. End feq. Infix "=f":= feq (at level 80, right associativity). Hint Unfold feq. Hint Resolve feq_refl feq_sym feq_trans. - + Variable K:(nat -> nat)->Prop. Variable K_ext:forall a b, (K a)->(a =f b)->(K b). @@ -30,7 +30,7 @@ Add Parametric Relation (A B : Type) : (A -> B) (@feq A B) reflexivity proved by (@feq_refl A B) symmetry proved by (@feq_sym A B) transitivity proved by (@feq_trans A B) as funsetoid. - + Add Morphism K with signature (@feq nat nat) ==> iff as K_ext1. intuition. apply (K_ext H0 H). intuition. assert (y =f x);auto. apply (K_ext H0 H1). |