From 7cfc4e5146be5666419451bdd516f1f3f264d24a Mon Sep 17 00:00:00 2001
From: Enrico Tassi <gareuselesinge@debian.org>
Date: Sun, 25 Jan 2015 14:42:51 +0100
Subject: Imported Upstream version 8.5~beta1+dfsg

---
 test-suite/bugs/closed/HoTT_coq_020.v | 95 +++++++++++++++++++++++++++++++++++
 1 file changed, 95 insertions(+)
 create mode 100644 test-suite/bugs/closed/HoTT_coq_020.v

(limited to 'test-suite/bugs/closed/HoTT_coq_020.v')

diff --git a/test-suite/bugs/closed/HoTT_coq_020.v b/test-suite/bugs/closed/HoTT_coq_020.v
new file mode 100644
index 00000000..b16c1df2
--- /dev/null
+++ b/test-suite/bugs/closed/HoTT_coq_020.v
@@ -0,0 +1,95 @@
+Set Implicit Arguments.
+
+Generalizable All Variables.
+
+Set Asymmetric Patterns.
+
+Polymorphic Record Category (obj : Type) :=
+  Build_Category {
+      Object :> _ := obj;
+      Morphism : obj -> obj -> Type;
+
+      Compose : forall s d d', Morphism d d' -> Morphism s d -> Morphism s d'
+    }.
+
+Polymorphic Record Functor objC (C : Category objC) objD (D : Category objD) :=
+  { ObjectOf :> objC -> objD }.
+
+Polymorphic Record NaturalTransformation objC C objD D (F G : Functor (objC := objC) C (objD := objD) D) :=
+  { ComponentsOf' :> forall c, D.(Morphism) (F.(ObjectOf) c) (G.(ObjectOf) c);
+    Commutes' : forall s d (m : C.(Morphism) s d), ComponentsOf' s = ComponentsOf' s }.
+
+Ltac present_obj from to :=
+  match goal with
+           | [ _ : appcontext[from ?obj ?C] |- _ ] => progress change (from obj C) with (to obj C) in *
+           | [ |- appcontext[from ?obj ?C] ] => progress change (from obj C) with (to obj C) in *
+         end.
+
+Section NaturalTransformationComposition.
+  Set Universe Polymorphism.
+  Context `(C : @Category objC).
+  Context `(D : @Category objD).
+  Context `(E : @Category objE).
+  Variables F F' F'' : Functor C D.
+  Unset Universe Polymorphism.
+
+  Polymorphic Definition NTComposeT (T' : NaturalTransformation F' F'') (T : NaturalTransformation F F') :
+    NaturalTransformation F F''.
+    exists (fun c => Compose _ _ _ _ (T' c) (T c)).
+    repeat progress present_obj @Morphism @Morphism. (* removing this line makes the error go away *)
+    intros. (* removing this line makes the error go away *)
+    admit.
+  Defined.
+End NaturalTransformationComposition.
+
+
+Polymorphic Definition FunctorCategory objC (C : Category objC) objD (D : Category objD) :
+  @Category (Functor C D)
+  := @Build_Category (Functor C D)
+                     (NaturalTransformation (C := C) (D := D))
+                     (NTComposeT (C := C) (D := D)).
+
+Polymorphic Definition Cat0 : Category Empty_set
+  := @Build_Category Empty_set
+                     (@eq _)
+                     (fun x => match x return _ with end).
+
+Polymorphic Definition FunctorFrom0 objC (C : Category objC) : Functor Cat0 C
+  := Build_Functor Cat0 C (fun x => match x with end).
+
+Section Law0.
+  Variable objC : Type.
+  Variable C : Category objC.
+
+  Set Printing All.
+  Set Printing Universes.
+  Set Printing Existential Instances.
+
+  Polymorphic Definition ExponentialLaw0Functor_Inverse_ObjectOf' : Object (@FunctorCategory Empty_set Cat0 objC C).
+  (* In environment
+objC : Type (* Top.154 *)
+C : Category (* Top.155 Top.154 *) objC
+The term "objC" has type "Type (* Top.154 *)"
+while it is expected to have type "Type (* Top.184 *)"
+(Universe inconsistency: Cannot enforce Top.154 <= Set)). *)
+  Admitted.
+
+  Polymorphic Definition ExponentialLaw0Functor_Inverse_ObjectOf : Object (FunctorCategory Cat0 C).
+    hnf.
+    refine (@FunctorFrom0 _ _).
+
+    (* Toplevel input, characters 23-40:
+Error:
+In environment
+objC : Type (* Top.61069 *)
+C : Category (* Top.61069 Top.61071 *) objC
+The term
+ "@FunctorFrom0 (* Top.61077 Top.61078 *) ?69 (* [objC, C] *)
+    ?70 (* [objC, C] *)" has type
+ "@Functor (* Set Prop Top.61077 Top.61078 *) Empty_set Cat0
+    ?69 (* [objC, C] *) ?70 (* [objC, C] *)"
+ while it is expected to have type
+ "@Functor (* Set Prop Set Prop *) Empty_set Cat0 objC C".
+*)
+  Defined.
+End Law0.
-- 
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