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authorGravatar Jason Gross <jgross@mit.edu>2014-05-09 10:13:32 -0400
committerGravatar Matthieu Sozeau <mattam@mattam.org>2014-05-10 15:39:39 +0200
commitc7284415e4bdd3315c84c7d15d140d3fee000bc5 (patch)
treecc8ded3feba7e1da0dd4f7d17b7e5f974de752c3 /test-suite/bugs/closed/HoTT_coq_014.v
parent3f64bd23a343bcd7be0ef07afa7d9e3249df24ec (diff)
Move opened bugs to bugs/opened
Diffstat (limited to 'test-suite/bugs/closed/HoTT_coq_014.v')
-rw-r--r--test-suite/bugs/closed/HoTT_coq_014.v164
1 files changed, 0 insertions, 164 deletions
diff --git a/test-suite/bugs/closed/HoTT_coq_014.v b/test-suite/bugs/closed/HoTT_coq_014.v
deleted file mode 100644
index 1fd7e251f..000000000
--- a/test-suite/bugs/closed/HoTT_coq_014.v
+++ /dev/null
@@ -1,164 +0,0 @@
-Set Implicit Arguments.
-Generalizable All Variables.
-
-
-Polymorphic Record SpecializedCategory (obj : Type) := Build_SpecializedCategory' {
- Object :> _ := obj;
- Morphism' : obj -> obj -> Type;
-
- Identity' : forall o, Morphism' o o;
- Compose' : forall s d d', Morphism' d d' -> Morphism' s d -> Morphism' s d'
-}.
-
-Polymorphic Definition Morphism obj (C : @SpecializedCategory obj) : forall s d : C, _ := Eval cbv beta delta [Morphism'] in C.(Morphism').
-
-(* eh, I'm not terribly happy. meh. *)
-Polymorphic Definition SmallSpecializedCategory (obj : Set) (*mor : obj -> obj -> Set*) := SpecializedCategory obj.
-Identity Coercion SmallSpecializedCategory_LocallySmallSpecializedCategory_Id : SmallSpecializedCategory >-> SpecializedCategory.
-
-Polymorphic Record Category := {
- CObject : Type;
-
- UnderlyingCategory :> @SpecializedCategory CObject
-}.
-
-Polymorphic Definition GeneralizeCategory `(C : @SpecializedCategory obj) : Category.
- refine {| CObject := C.(Object) |}; auto.
-Defined.
-
-Coercion GeneralizeCategory : SpecializedCategory >-> Category.
-
-
-
-Section SpecializedFunctor.
- Set Universe Polymorphism.
- Context `(C : @SpecializedCategory objC).
- Context `(D : @SpecializedCategory objD).
- Unset Universe Polymorphism.
-
- Polymorphic Record SpecializedFunctor := {
- ObjectOf' : objC -> objD;
- 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' _ _ (C.(Compose') _ _ _ m2 m1) = D.(Compose') _ _ _ (MorphismOf' _ _ m2) (MorphismOf' _ _ m1);
- FIdentityOf' : forall o, MorphismOf' _ _ (C.(Identity') o) = D.(Identity') (ObjectOf' o)
- }.
-End SpecializedFunctor.
-
-Global Coercion ObjectOf' : SpecializedFunctor >-> Funclass.
-(*Unset Universe Polymorphism.*)
-Section Functor.
- Variable C D : Category.
-
- Polymorphic Definition Functor := SpecializedFunctor C D.
-End Functor.
-
-Identity Coercion Functor_SpecializedFunctor_Id : Functor >-> SpecializedFunctor.
-Polymorphic Definition GeneralizeFunctor objC C objD D (F : @SpecializedFunctor objC C objD D) : Functor C D := F.
-Coercion GeneralizeFunctor : SpecializedFunctor >-> Functor.
-
-Arguments SpecializedFunctor {objC} C {objD} D.
-
-
-Polymorphic Record SmallCategory := {
- SObject : Set;
-
- SUnderlyingCategory :> @SmallSpecializedCategory SObject
-}.
-
-Polymorphic Definition GeneralizeSmallCategory `(C : @SmallSpecializedCategory obj) : SmallCategory.
- refine {| SObject := obj |}; destruct C; econstructor; eassumption.
-Defined.
-
-Coercion GeneralizeSmallCategory : SmallSpecializedCategory >-> SmallCategory.
-
-Bind Scope category_scope with SmallCategory.
-
-
-Polymorphic Definition TypeCat : @SpecializedCategory Type := (@Build_SpecializedCategory' Type
- (fun s d => s -> d)
- (fun _ => (fun x => x))
- (fun _ _ _ f g => (fun x => f (g x)))).
-(*Unset Universe Polymorphism.*)
-Polymorphic Definition FunctorCategory objC (C : @SpecializedCategory objC) objD (D : @SpecializedCategory objD) :
- @SpecializedCategory (SpecializedFunctor C D).
-Admitted.
-
-Polymorphic Definition DiscreteCategory (O : Type) : @SpecializedCategory O.
-Admitted.
-
-Polymorphic Definition ComputableCategory (I : Type) (Index2Object : I -> Type) (Index2Cat : forall i : I, @SpecializedCategory (@Index2Object i)) :
- @SpecializedCategory I.
-Admitted.
-
-Polymorphic Definition is_unique (A : Type) (x : A) := forall x' : A, x' = x.
-
-Polymorphic Definition InitialObject obj {C : SpecializedCategory obj} (o : C) :=
- forall o', { m : C.(Morphism) o o' | is_unique m }.
-
-Polymorphic Definition SmallCat := ComputableCategory _ SUnderlyingCategory.
-
-Lemma InitialCategory_Initial : InitialObject (C := SmallCat) (DiscreteCategory Empty_set : SmallSpecializedCategory _).
- admit.
-Qed.
-
-
-Section GraphObj.
- Context `(C : @SpecializedCategory objC).
-
- Inductive GraphIndex := GraphIndexSource | GraphIndexTarget.
-
- Polymorphic Definition GraphIndex_Morphism (a b : GraphIndex) : Set :=
- match (a, b) with
- | (GraphIndexSource, GraphIndexSource) => unit
- | (GraphIndexTarget, GraphIndexTarget) => unit
- | (GraphIndexTarget, GraphIndexSource) => Empty_set
- | (GraphIndexSource, GraphIndexTarget) => GraphIndex
- end.
-
- Global Arguments GraphIndex_Morphism a b /.
-
- Polymorphic Definition GraphIndex_Compose s d d' (m1 : GraphIndex_Morphism d d') (m2 : GraphIndex_Morphism s d) :
- GraphIndex_Morphism s d'.
- Admitted.
-
- Polymorphic Definition GraphIndexingCategory : @SpecializedCategory GraphIndex.
- refine {|
- Morphism' := GraphIndex_Morphism;
- Identity' := (fun x => match x with GraphIndexSource => tt | GraphIndexTarget => tt end);
- Compose' := GraphIndex_Compose
- |};
- admit.
- Defined.
-
- Polymorphic Definition UnderlyingGraph_ObjectOf x :=
- match x with
- | GraphIndexSource => { sd : objC * objC & C.(Morphism) (fst sd) (snd sd) }
- | GraphIndexTarget => objC
- end.
-
- Global Arguments UnderlyingGraph_ObjectOf x /.
-
- Polymorphic Definition UnderlyingGraph_MorphismOf s d (m : Morphism GraphIndexingCategory s d) :
- UnderlyingGraph_ObjectOf s -> UnderlyingGraph_ObjectOf d.
- Admitted.
-
- Polymorphic Definition UnderlyingGraph : SpecializedFunctor GraphIndexingCategory TypeCat.
- Proof.
- match goal with
- | [ |- SpecializedFunctor ?C ?D ] =>
- refine (Build_SpecializedFunctor C D
- UnderlyingGraph_ObjectOf
- UnderlyingGraph_MorphismOf
- _
- _
- )
- end;
- admit.
- Defined.
-End GraphObj.
-
-
-Polymorphic Definition UnderlyingGraphFunctor_MorphismOf (C D : SmallCategory) (F : SpecializedFunctor C D) :
- Morphism (FunctorCategory TypeCat GraphIndexingCategory) (UnderlyingGraph C) (UnderlyingGraph D). (* Anomaly: apply_coercion. Please report.*)
-Admitted.