diff options
| author | Maxime Dénès | 2015-02-27 13:25:11 +0100 |
|---|---|---|
| committer | Maxime Dénès | 2015-02-27 13:25:11 +0100 |
| commit | 321249f0ccc9b7b6fedbab411fac4aa443e0dd43 (patch) | |
| tree | 6a52b5a17e4256439f08b5d5f6753ad46946059d /test-suite/bugs/opened | |
| parent | f65aac12bb8b2071dcc15f5351194c649d3f7196 (diff) | |
Moving test of #3848 to "opened".
Diffstat (limited to 'test-suite/bugs/opened')
| -rw-r--r-- | test-suite/bugs/opened/3848.v | 21 |
1 files changed, 21 insertions, 0 deletions
diff --git a/test-suite/bugs/opened/3848.v b/test-suite/bugs/opened/3848.v new file mode 100644 index 0000000000..b66aeccaff --- /dev/null +++ b/test-suite/bugs/opened/3848.v @@ -0,0 +1,21 @@ +Axiom transport : forall {A : Type} (P : A -> Type) {x y : A} (p : x = y) (u : P x), P y. +Notation "p # x" := (transport _ p x) (right associativity, at level 65, only parsing). +Definition Sect {A B : Type} (s : A -> B) (r : B -> A) := forall x : A, r (s x) = x. +Class IsEquiv {A B} (f : A -> B) := { equiv_inv : B -> A ; eisretr : Sect equiv_inv f }. +Arguments eisretr {A B} f {_} _. +Notation "f ^-1" := (@equiv_inv _ _ f _) (at level 3, format "f '^-1'"). +Generalizable Variables A B f g e n. +Definition functor_forall `{P : A -> Type} `{Q : B -> Type} + (f0 : B -> A) (f1 : forall b:B, P (f0 b) -> Q b) +: (forall a:A, P a) -> (forall b:B, Q b). + admit. +Defined. + +Lemma isequiv_functor_forall `{P : A -> Type} `{Q : B -> Type} + `{IsEquiv B A f} `{forall b, @IsEquiv (P (f b)) (Q b) (g b)} +: (forall b : B, Q b) -> forall a : A, P a. +Proof. + refine (functor_forall + (f^-1) + (fun (x:A) (y:Q (f^-1 x)) => eisretr f x # (g (f^-1 x))^-1 y)). +Defined. (* Error: Attempt to save an incomplete proof *) |
