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Theorems · Definition · category theory

CategoryTheory.Pseudofunctor.StrongTrans.categoryStruct

{B : Type u₁} →
  [inst : CategoryTheory.Bicategory B] →
    {C : Type u₂} →
      [inst_1 : CategoryTheory.Bicategory C] →
        CategoryTheory.CategoryStruct.{max (max (max u₁ v₂) v₁) w₂, max (max (max (max (max u₂ u₁) v₂) v₁) w₂) w₁}
          (CategoryTheory.Pseudofunctor B C)

CategoryStruct on B ⥤ᵖ C where the (1-)morphisms are given by strong transformations.

Defined in
Mathlib.CategoryTheory.Bicategory.NaturalTransformation.Pseudo
Cited by
112 results in Mathlib
Foundations
Depth 35 from the axioms, rests on 170 definitions · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.BicategoryCategoryTheory.Bicategory

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.Pseudofunctor.StrongTrans.Modification.app · cited by 32Modification.appCategoryTheory.Pseudofunctor.StrongTrans.homCategory · cited by 24StrongTrans.homCategoryCategoryTheory.Pseudofunctor.StrongTrans.Hom.as · cited by 22Hom.asCategoryTheory.Pseudofunctor.StrongTrans.Modification · cited by 21StrongTrans.ModificationCategoryTheory.Bicategory.postcomposing₂ · cited by 10Bicategory.postcomposing₂CategoryTheory.Pseudofunctor.CoGrothendieck.map · cited by 8CoGrothendieck.mapCategoryTheory.Pseudofunctor.Grothendieck.map · cited by 8Grothendieck.mapCategoryTheory.Pseudofunctor.StrongTrans.Hom · cited by 6StrongTrans.HomCategoryTheory.Bicategory.postcomp₂ · cited by 6Bicategory.postcomp₂CategoryTheory.Pseudofunctor.StrongTrans.Modification.toOplax · cited by 4Modification.toOplaxCategoryTheory.Pseudofunctor.StrongTrans.isoMk · cited by 3StrongTrans.isoMkCategoryTheory.Pseudofunctor.StrongTrans.naturality_comp_hom · cited by 3StrongTrans.naturality_co…CategoryTheory.Pseudofunctor.StrongTrans.naturality_id_hom · cited by 3StrongTrans.naturality_id…CategoryTheory.Pseudofunctor.StrongTrans.naturality_naturality_hom · cited by 3StrongTrans.naturality_na…CategoryTheory.Pseudofunctor.StrongTrans.Hom.ext · cited by 2Hom.extCategoryTheory.Bicategory · cited by 1587CategoryTheory.BicategoryCategoryTheory.Pseudofunctor · cited by 571CategoryTheory.Pseudofunc…CategoryTheory.CategoryStruct · cited by 343CategoryTheory.CategorySt…CategoryTheory.Pseudofunctor.StrongTrans.vcomp · cited by 0StrongTrans.vcompCategoryTheory.Pseudofunctor.StrongTrans.id · cited by 0StrongTrans.idStrongTrans.categoryStructCITED BYCITES

Cites5

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Cited by148

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