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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_034.v
parent3f64bd23a343bcd7be0ef07afa7d9e3249df24ec (diff)
Move opened bugs to bugs/opened
Diffstat (limited to 'test-suite/bugs/closed/HoTT_coq_034.v')
-rw-r--r--test-suite/bugs/closed/HoTT_coq_034.v127
1 files changed, 0 insertions, 127 deletions
diff --git a/test-suite/bugs/closed/HoTT_coq_034.v b/test-suite/bugs/closed/HoTT_coq_034.v
deleted file mode 100644
index 9697928ff..000000000
--- a/test-suite/bugs/closed/HoTT_coq_034.v
+++ /dev/null
@@ -1,127 +0,0 @@
-Module Short.
- Set Universe Polymorphism.
- Inductive relevant (A : Type) (B : Type) : Prop := .
- Section foo.
- Variables A B : Type.
- Definition foo := prod (relevant A B) A.
- End foo.
-
- Section bar.
- Variable A : Type.
- Variable B : Type.
- Definition bar := prod (relevant A B) A.
- End bar.
-
- Set Printing Universes.
- Check bar nat Set : Set. (* success *)
- Check foo nat Set : Set. (* Toplevel input, characters 6-17:
-Error:
-The term "foo (* Top.303 Top.304 *) nat Set" has type
-"Type (* Top.304 *)" while it is expected to have type
-"Set" (Universe inconsistency: Cannot enforce Top.304 = Set because Set
-< Top.304)). *)
-End Short.
-
-Section Long.
- Set Universe Polymorphism.
- Set Implicit Arguments.
- Generalizable All Variables.
-
- Record SpecializedCategory (obj : Type) :=
- {
- Object :> _ := obj;
- Morphism : obj -> obj -> Type
- }.
-
-
- Record > Category :=
- {
- CObject : Type;
-
- UnderlyingCategory :> @SpecializedCategory CObject
- }.
-
- Record SpecializedFunctor `(C : @SpecializedCategory objC) `(D : @SpecializedCategory objD) :=
- {
- ObjectOf :> objC -> objD;
- MorphismOf : forall s d, C.(Morphism) s d -> D.(Morphism) (ObjectOf s) (ObjectOf d)
- }.
-
- (* Replacing this with [Definition Functor (C D : Category) :=
-SpecializedFunctor C D.] gets rid of the universe inconsistency. *)
- Section Functor.
- Variable C D : Category.
-
- Definition Functor := SpecializedFunctor C D.
- End Functor.
-
- Record SpecializedNaturalTransformation `(C : @SpecializedCategory objC) `(D : @SpecializedCategory objD) (F G : SpecializedFunctor C D) :=
- {
- ComponentsOf :> forall c, D.(Morphism) (F c) (G c)
- }.
-
- Definition FunctorProduct' `(F : Functor C D) : SpecializedFunctor C D.
- admit.
- Defined.
-
- Definition TypeCat : @SpecializedCategory Type.
- admit.
- Defined.
-
-
- Definition CovariantHomFunctor `(C : @SpecializedCategory objC) : SpecializedFunctor C TypeCat.
- refine (Build_SpecializedFunctor C TypeCat
- (fun X : C => C.(Morphism) X X)
- _
- ); admit.
- Defined.
-
- Definition FunctorCategory `(C : @SpecializedCategory objC) `(D : @SpecializedCategory objD) : @SpecializedCategory (SpecializedFunctor C D).
- refine (@Build_SpecializedCategory _
- (SpecializedNaturalTransformation (C := C) (D := D))).
- Defined.
-
- Definition Yoneda `(C : @SpecializedCategory objC) : SpecializedFunctor C (FunctorCategory C TypeCat).
- match goal with
- | [ |- SpecializedFunctor ?C0 ?D0 ] =>
- refine (Build_SpecializedFunctor C0 D0
- (fun c => CovariantHomFunctor C)
- _
- )
- end;
- admit.
- Defined.
-
- Section FullyFaithful.
- Context `(C : @SpecializedCategory objC).
- Let TypeCatC := FunctorCategory C TypeCat.
- Let YC := (Yoneda C).
- Set Printing Universes.
- Check @FunctorProduct' C TypeCatC (Yoneda C).
- (* Toplevel input, characters 35-43:
-Error:
-In environment
-objC : Type (* Top.186 *)
-C : SpecializedCategory (* Top.185 Top.186 *) objC
-TypeCatC := FunctorCategory (* Top.187 Top.185 Top.189 Top.186 Top.191
- Top.192 *) C TypeCat (* Top.193 Top.192 Top.195 Top.191 *)
- : SpecializedCategory (* Top.189 Top.187 *)
- (SpecializedFunctor (* Top.192 Top.186 Top.191 Top.185 *) C
- TypeCat (* Top.193 Top.192 Top.195 Top.191 *))
-YC := Yoneda (* Top.197 Top.198 Top.185 Top.186 Top.201 Top.202 Top.203
- Top.204 Top.185 Top.206 *) C
- : SpecializedFunctor (* Top.202 Top.186 Top.203 Top.185 *) C
- (FunctorCategory (* Top.203 Top.185 Top.202 Top.186 Top.197 Top.198 *)
- C TypeCat (* Top.185 Top.198 Top.204 Top.197 *))
-The term
- "Yoneda (* Top.225 Top.226 Top.227 Top.186 Top.229 Top.230 Top.231 Top.232
- Top.185 Top.234 *) C" has type
- "SpecializedFunctor (* Top.230 Top.228 Top.231 Top.233 *) C
- (FunctorCategory (* Top.231 Top.233 Top.230 Top.228 Top.225 Top.226 *) C
- TypeCat (* Top.227 Top.226 Top.232 Top.225 *))"
-while it is expected to have type
- "Functor (* Top.216 Top.219 Top.217 Top.220 *) C TypeCatC"
-(Universe inconsistency: Cannot enforce Top.230 = Top.217 because Top.217
-<= Top.227 < Top.225 <= Top.231 <= Top.230)).
- *)
-End Long.