Imported Upstream version 8.5~beta1+dfsg

1 files changed, 25 insertions, 0 deletions

diff --git a/test-suite/bugs/closed/3667.v b/test-suite/bugs/closed/3667.v
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+
+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)).
+
+