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_099.v | 61 +++++++++++++++++++++++++++++++++++
 1 file changed, 61 insertions(+)
 create mode 100644 test-suite/bugs/closed/HoTT_coq_099.v

(limited to 'test-suite/bugs/closed/HoTT_coq_099.v')

diff --git a/test-suite/bugs/closed/HoTT_coq_099.v b/test-suite/bugs/closed/HoTT_coq_099.v
new file mode 100644
index 00000000..9b6ace82
--- /dev/null
+++ b/test-suite/bugs/closed/HoTT_coq_099.v
@@ -0,0 +1,61 @@
+(* File reduced by coq-bug-finder from 138 lines to 78 lines. *)
+Set Implicit Arguments.
+Generalizable All Variables.
+Set Universe Polymorphism.
+Delimit Scope object_scope with object.
+Delimit Scope morphism_scope with morphism.
+Delimit Scope category_scope with category.
+Record Category (obj : Type) :=
+  {
+    Object :> _ := obj;
+    Morphism : obj -> obj -> Type;
+
+    Identity : forall x, Morphism x x;
+    Compose : forall s d d', Morphism d d' -> Morphism s d -> Morphism s d'
+  }.
+
+Arguments Identity {obj%type} [!C%category] x%object : rename.
+Arguments Compose {obj%type} [!C%category s%object d%object d'%object] m1%morphism m2%morphism : rename.
+Bind Scope category_scope with Category.
+
+Record Functor `(C : @Category objC) `(D : @Category objD)
+  := { ObjectOf :> objC -> objD;
+       MorphismOf : forall s d, C.(Morphism) s d -> D.(Morphism) (ObjectOf s) (ObjectOf d) }.
+
+Record NaturalTransformation `(C : @Category objC) `(D : @Category objD) (F G : Functor C D)
+  := { ComponentsOf :> forall c, D.(Morphism) (F c) (G c) }.
+
+Definition ProductCategory `(C : @Category objC) `(D : @Category objD)
+: @Category (objC * objD)%type
+  := @Build_Category _
+                     (fun s d => (C.(Morphism) (fst s) (fst d) * D.(Morphism) (snd s) (snd d))%type)
+                     (fun o => (Identity (fst o), Identity (snd o)))
+                     (fun s d d' m2 m1 => (Compose (fst m2) (fst m1), Compose (snd m2) (snd m1))).
+
+Infix "*" := ProductCategory : category_scope.
+
+Record IsomorphismOf `{C : @Category objC} {s d} (m : C.(Morphism) s d) :=
+  { IsomorphismOf_Morphism :> C.(Morphism) s d := m;
+    Inverse : C.(Morphism) d s }.
+
+Record NaturalIsomorphism `(C : @Category objC) `(D : @Category objD) (F G : Functor C D)
+  := { NaturalIsomorphism_Transformation :> NaturalTransformation F G;
+       NaturalIsomorphism_Isomorphism : forall x : objC, IsomorphismOf (NaturalIsomorphism_Transformation x) }.
+
+Section PreMonoidalCategory.
+  Context `(C : @Category objC).
+  Definition TriMonoidalProductL : Functor (C * C * C) C.
+    admit.
+  Defined.
+  Definition TriMonoidalProductR : Functor (C * C * C) C.
+    admit.
+  Defined. (** Replacing [admit. Defined.] with [Admitted.] satisfies the constraints *)
+  Variable Associator : NaturalIsomorphism TriMonoidalProductL TriMonoidalProductR.
+  (* Toplevel input, characters 15-96:
+Error: Unsatisfied constraints:
+Coq.Init.Datatypes.28 <= Coq.Init.Datatypes.29
+Top.168 <= Coq.Init.Datatypes.29
+Top.168 <= Coq.Init.Datatypes.28
+Top.169 <= Coq.Init.Datatypes.29
+Top.169 <= Coq.Init.Datatypes.28
+ (maybe a bugged tactic). *)
-- 
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