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Revert "biequiv for universe types"
This reverts commit c3ba9a6.
1 parent d7f8a71 commit 2883378

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20 files changed

+21
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UniMath/Bicategories/.package/files

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@@ -184,7 +184,6 @@ DisplayedBicats/DispTransformation.v
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DisplayedBicats/DispModification.v
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DisplayedBicats/DispBiequivalence.v
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DisplayedBicats/ProductDispBiequiv.v
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DisplayedBicats/DispPseudoNaturalAdjequiv.v
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DoubleCategories/Basics/DoubleCategoryBasics.v
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DoubleCategories/Basics/StrictDoubleCatBasics.v
@@ -457,7 +456,6 @@ ComprehensionCat/DFLCompCatNotations.v
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ComprehensionCat/ComprehensionEso.v
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ComprehensionCat/Biequivalence/DFLCompCatToFinLim.v
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ComprehensionCat/Biequivalence/FinLimToDFLCompCat.v
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ComprehensionCat/FinLimToCompCatLemmas.v
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ComprehensionCat/Biequivalence/Unit.v
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ComprehensionCat/Biequivalence/Counit.v
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ComprehensionCat/Biequivalence/Biequiv.v
@@ -479,20 +477,6 @@ ComprehensionCat/Universes/CompCatUniv/CompCatOb.v
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ComprehensionCat/Universes/CompCatUniv/UniverseType.v
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ComprehensionCat/Universes/CompCatUniv/CompCatWithUniv.v
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ComprehensionCat/Universes/CompCatUnivProps.v
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ComprehensionCat/Universes/Biequiv/ToCompCatUniv.v
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ComprehensionCat/Universes/Biequiv/ToCatFinLimUnivActions.v
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ComprehensionCat/Universes/Biequiv/ToCatFinLimUnivCell.v
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ComprehensionCat/Universes/Biequiv/ToCatFinLimUnivIdent.v
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ComprehensionCat/Universes/Biequiv/ToCatFinLimUnivComp.v
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ComprehensionCat/Universes/Biequiv/ToCatFinLimUniv.v
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ComprehensionCat/Universes/Biequiv/UnitForUniv.v
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ComprehensionCat/Universes/Biequiv/CounitForUnivMor.v
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ComprehensionCat/Universes/Biequiv/CounitForUnivNat.v
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ComprehensionCat/Universes/Biequiv/CounitForUniv.v
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ComprehensionCat/Universes/UniverseBiequiv.v
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ComprehensionCat/Biequivalence/InternalLanguageTopos.v
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ComprehensionCat/SetGroupoidModel.v

UniMath/Bicategories/ComprehensionCat/CompCatNotations.v

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@@ -40,7 +40,6 @@ Require Import UniMath.CategoryTheory.DisplayedCats.Fiber.
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Require Import UniMath.CategoryTheory.DisplayedCats.Fibrations.
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Require Import UniMath.CategoryTheory.DisplayedCats.Total.
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Require Import UniMath.CategoryTheory.DisplayedCats.Codomain.
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Require Import UniMath.CategoryTheory.DisplayedCats.Codomain.FiberCod.
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Require Import UniMath.CategoryTheory.Limits.Terminal.
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Require Import UniMath.CategoryTheory.Limits.Preservation.
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Require Import UniMath.CategoryTheory.Limits.Pullbacks.
@@ -153,33 +152,6 @@ Definition comp_cat_comp_fiber_z_iso
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: z_iso (Γ & A) (Γ & B)
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:= comp_cat_comp_z_iso (z_iso_disp_from_z_iso_fiber _ _ _ _ s).
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Definition comp_cat_comp_fiber_z_iso_fib
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{C : comp_cat}
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{Γ : C}
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{A B : ty Γ}
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(s : z_iso (C := fiber_category _ _) A B)
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: z_iso
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(C := fiber_category _ _)
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(comp_cat_comprehension C Γ A)
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(comp_cat_comprehension C Γ B).
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Proof.
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exact (functor_on_z_iso
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(fiber_functor (comp_cat_comprehension C) Γ)
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s).
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Defined.
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Proposition dom_mor_comp_cat_comp_fiber_z_iso_fib
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{C : comp_cat}
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{Γ : C}
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{A B : ty Γ}
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(s : z_iso (C := fiber_category _ _) A B)
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: dom_mor (comp_cat_comp_fiber_z_iso_fib s)
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=
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comp_cat_comp_mor (pr1 s).
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Proof.
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apply idpath.
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Qed.
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Definition subst_ty
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{C : comp_cat}
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{Γ Δ : C}

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