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Diffstat (limited to 'test-suite/bugs/closed/3667.v')
| -rw-r--r-- | test-suite/bugs/closed/3667.v | 25 |
1 files changed, 25 insertions, 0 deletions
diff --git a/test-suite/bugs/closed/3667.v b/test-suite/bugs/closed/3667.v new file mode 100644 index 00000000..d2fc4d9b --- /dev/null +++ b/test-suite/bugs/closed/3667.v @@ -0,0 +1,25 @@ + +Set Primitive Projections. +Axiom ap10 : forall {A B} {f g:A->B} (h:f=g) x, f x = g x. +Axiom IsHSet : Type -> Type. +Record hSet := BuildhSet {setT:> Type; iss :> IsHSet setT}. +Canonical Structure default_HSet:= fun T P => (@BuildhSet T P). +Record PreCategory := { object :> Type ; morphism : object -> object -> Type }. +Record Functor (C D : PreCategory) := + { object_of :> C -> D; + morphism_of : forall s d, morphism C s d + -> morphism D (object_of s) (object_of d) }. +Set Implicit Arguments. +Record NaturalTransformation C D (F G : Functor C D) := + { components_of :> forall c, morphism D (F c) (G c); + commutes : forall s d (m : morphism C s d), components_of s = components_of s }. +Definition set_cat : PreCategory. + exact ((@Build_PreCategory hSet + (fun x y => x -> y))). +Defined. +Goal forall (A : PreCategory) (F : Functor A set_cat) + (a : A) (x : F a) (nt :NaturalTransformation F F), x = x. + intros. + pose (fun c d m => ap10 (commutes nt c d m)). + + |