Unification in HoTT_coq_061.v was looping with previous commit (while

it was failing with Not_found before previous commit). This "fixes"
the loop by expanding local defs in "imitate" rather than keeping them
explicit. The example is otherwise too large for me to be able to
understand where does the loop come from.

1 files changed, 132 insertions, 0 deletions

diff --git a/test-suite/bugs/closed/HoTT_coq_061.v b/test-suite/bugs/closed/HoTT_coq_061.v
new file mode 100644
index 000000000..26c1f963d
--- /dev/null
+++ b/test-suite/bugs/closed/HoTT_coq_061.v
@@ -0,0 +1,132 @@
+(* There are some problems in materialize_evar with local definitions,
+   as CO below; this is not completely sorted out yet, but at least
+   it fails in a smooth way at the time of today [HH] *)
+
+(* File reduced by coq-bug-finder from 9039 lines to 7786 lines, then
+   from 7245 lines to 476 lines, then from 417 lines to 249 lines,
+   then from 171 lines to 127 lines. *)
+
+Set Implicit Arguments.
+Set Universe Polymorphism.
+Definition admit {T} : T.
+Admitted.
+Delimit Scope object_scope with object.
+Delimit Scope morphism_scope with morphism.
+Delimit Scope category_scope with category.
+Delimit Scope functor_scope with functor.
+Delimit Scope natural_transformation_scope with natural_transformation.
+Reserved Infix "o" (at level 40, left associativity).
+Inductive paths {A : Type} (a : A) : A -> Type :=
+  idpath : paths a a.
+
+Arguments idpath {A a} , [A] a.
+Notation "x = y :> A" := (@paths A x y) : type_scope.
+Notation "x = y" := (x = y :>_) : type_scope.
+Definition inverse {A : Type} {x y : A} (p : x = y) : y = x
+  := match p with idpath => idpath end.
+
+Record PreCategory :=
+  {
+    Object :> Type;
+    Morphism : Object -> Object -> Type;
+
+    Compose : forall s d d', Morphism d d' -> Morphism s d -> Morphism s d' where "f 'o' g" := (Compose f g)
+  }.
+Bind Scope category_scope with PreCategory.
+
+Arguments Compose [!C%category s%object d%object d'%object] m1%morphism m2%morphism : rename.
+
+Infix "o" := Compose : morphism_scope.
+Local Open Scope morphism_scope.
+
+Record Functor (C D : PreCategory) :=
+  {
+    ObjectOf :> C -> D;
+    MorphismOf : forall s d, C.(Morphism) s d -> D.(Morphism) (ObjectOf s) (ObjectOf d);
+    FCompositionOf : forall s d d' (m1 : C.(Morphism) s d) (m2: C.(Morphism) d d'),
+                       MorphismOf _ _ (m2 o m1) = (MorphismOf _ _ m2) o (MorphismOf _ _ m1)
+  }.
+
+Bind Scope functor_scope with Functor.
+
+Arguments MorphismOf [C%category] [D%category] F%functor [s%object d%object] m%morphism : rename, simpl nomatch.
+
+Definition ComposeFunctors C D E
+           (G : Functor D E) (F : Functor C D) : Functor C E
+  := Build_Functor C E
+                   (fun c => G (F c))
+                   admit
+                   admit.
+
+Infix "o" := ComposeFunctors : functor_scope.
+
+Record NaturalTransformation C D (F G : Functor C D) :=
+  {
+    ComponentsOf :> forall c, D.(Morphism) (F c) (G c);
+    Commutes : forall s d (m : C.(Morphism) s d),
+                 ComponentsOf d o F.(MorphismOf) m = G.(MorphismOf) m o ComponentsOf s
+  }.
+
+Generalizable All Variables.
+
+Section NTComposeT.
+
+  Variable C : PreCategory.
+  Variable D : PreCategory.
+
+  Variables F F' F'' : Functor C D.
+
+  Variable T' : NaturalTransformation F' F''.
+  Variable T : NaturalTransformation F F'.
+  Let CO := fun c => T' c o T c.
+  Definition NTComposeT_Commutes s d (m : Morphism C s d)
+  : CO d o MorphismOf F m = MorphismOf F'' m o CO s.
+
+    admit.
+  Defined.
+  Definition NTComposeT
+  : NaturalTransformation F F''
+    := Build_NaturalTransformation F F''
+                                   (fun c => T' c o T c)
+                                   NTComposeT_Commutes.
+End NTComposeT.
+Definition NTWhiskerR C D E (F F' : Functor D E) (T : NaturalTransformation F F')
+           (G : Functor C D)
+  := Build_NaturalTransformation (F o G) (F' o G)
+                                 (fun c => T (G c))
+                                 admit.
+Global Class NTC_Composable A B (a : A) (b : B) (T : Type) (term : T) := {}.
+
+Definition NTC_Composable_term `{@NTC_Composable A B a b T term} := term.
+Notation "T 'o' U"
+  := (@NTC_Composable_term _ _ T%natural_transformation U%natural_transformation _ _ _)
+     : natural_transformation_scope.
+
+Local Open Scope natural_transformation_scope.
+
+Lemma NTWhiskerR_CompositionOf C D
+      (F G H : Functor C D)
+      (T : NaturalTransformation G H)
+      (T' : NaturalTransformation F G) B (I : Functor B C)
+: NTWhiskerR (NTComposeT T T') I = NTComposeT (NTWhiskerR T I) (NTWhiskerR T' I).
+
+  admit.
+Defined.
+Definition FunctorCategory C D : PreCategory
+  := @Build_PreCategory (Functor C D)
+                        (NaturalTransformation (C := C) (D := D))
+                        admit.
+
+Notation "[ C , D ]" := (FunctorCategory C D) : category_scope.
+
+Variable C : PreCategory.
+Variable D : PreCategory.
+Variable E : PreCategory.
+Fail Definition NTWhiskerR_Functorial (G : [C, D]%category)
+: [[D, E], [C, E]]%category
+  := Build_Functor
+       [C, D] [C, E]
+       (fun F => F o G)
+       (fun _ _ T => T o G)
+       (fun _ _ _ _ _ => inverse (NTWhiskerR_CompositionOf _ _ _)).
+(* Anomaly: Uncaught exception Not_found(_). Please report. *)