diff options
author | Jason Gross <jgross@mit.edu> | 2014-05-09 10:13:32 -0400 |
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committer | Matthieu Sozeau <mattam@mattam.org> | 2014-05-10 15:39:39 +0200 |
commit | c7284415e4bdd3315c84c7d15d140d3fee000bc5 (patch) | |
tree | cc8ded3feba7e1da0dd4f7d17b7e5f974de752c3 /test-suite/bugs/closed/HoTT_coq_034.v | |
parent | 3f64bd23a343bcd7be0ef07afa7d9e3249df24ec (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.v | 127 |
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. |