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Diffstat (limited to 'test-suite/bugs/opened/3675.v')
| -rw-r--r-- | test-suite/bugs/opened/3675.v | 20 |
1 files changed, 0 insertions, 20 deletions
diff --git a/test-suite/bugs/opened/3675.v b/test-suite/bugs/opened/3675.v deleted file mode 100644 index 93227ab8..00000000 --- a/test-suite/bugs/opened/3675.v +++ /dev/null @@ -1,20 +0,0 @@ -Set Primitive Projections. -Definition compose {A B C : Type} (g : B -> C) (f : A -> B) := fun x => g (f x). -Inductive paths {A : Type} (a : A) : A -> Type := idpath : paths a a where "x = y" := (@paths _ x y) : type_scope. -Arguments idpath {A a} , [A] a. -Definition concat {A : Type} {x y z : A} (p : x = y) (q : y = z) : x = z := match p, q with idpath, idpath => idpath end. -Notation "p @ q" := (concat p q) (at level 20) : path_scope. -Axiom ap : forall {A B:Type} (f:A -> B) {x y:A} (p:x = y), f x = f y. -Definition Sect {A B : Type} (s : A -> B) (r : B -> A) := forall x : A, r (s x) = x. -Class IsEquiv {A B : Type} (f : A -> B) := { equiv_inv : B -> A ; eisretr : forall x, f (equiv_inv x) = x }. -Notation "f ^-1" := (@equiv_inv _ _ f _) (at level 3, format "f '^-1'") : equiv_scope. -Local Open Scope path_scope. -Local Open Scope equiv_scope. -Generalizable Variables A B C f g. -Lemma isequiv_compose `{IsEquiv A B f} `{IsEquiv B C g} -: IsEquiv (compose g f). -Proof. - refine (Build_IsEquiv A C - (compose g f) - (compose f^-1 g^-1) _). - exact (fun c => ap g (@eisretr _ _ f _ (g^-1 c)) @ (@eisretr _ _ g _ c)). |