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Theorems · Definition · category theory

CategoryTheory.Pseudofunctor.StrongTrans.app

{B : Type u₁} →
  [inst : CategoryTheory.Bicategory B] →
    {C : Type u₂} →
      [inst_1 : CategoryTheory.Bicategory C] →
        {F G : CategoryTheory.Pseudofunctor B C} → F.StrongTrans G → (a : B) → F.obj a ⟶ G.obj a

The component 1-morphisms of a strong transformation.

Defined in
Mathlib.CategoryTheory.Bicategory.NaturalTransformation.Pseudo
Cited by
106 results in Mathlib
Foundations
Depth 4 from the axioms, rests on 19 definitions · uses no axioms
Assumes
CategoryTheory.BicategoryCategoryTheory.Bicategory

Around this declaration

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

CategoryTheory.Pseudofunctor.StrongTrans.naturality · cited by 81StrongTrans.naturalityCategoryTheory.Pseudofunctor.StrongTrans.Modification.app · cited by 32Modification.appCategoryTheory.Pseudofunctor.StrongTrans.toOplax · cited by 16StrongTrans.toOplaxCategoryTheory.Pseudofunctor.CoGrothendieck.map · cited by 8CoGrothendieck.mapCategoryTheory.Pseudofunctor.Grothendieck.map · cited by 8Grothendieck.mapCategoryTheory.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.Modification.ext · cited by 2Modification.extCategoryTheory.Pseudofunctor.StrongTrans.naturality_comp · cited by 2StrongTrans.naturality_co…CategoryTheory.Pseudofunctor.StrongTrans.naturality_comp_inv · cited by 2StrongTrans.naturality_co…CategoryTheory.Pseudofunctor.StrongTrans.naturality_id · cited by 2StrongTrans.naturality_idCategoryTheory.Pseudofunctor.StrongTrans.naturality_id_inv · cited by 2StrongTrans.naturality_id…CategoryTheory.Pseudofunctor.StrongTrans.naturality_naturality_assoc · cited by 2StrongTrans.naturality_na…Quiver.Hom · cited by 32603Quiver.HomCategoryTheory.Bicategory · cited by 1587CategoryTheory.BicategoryPrefunctor.obj · cited by 1241Prefunctor.objCategoryTheory.PrelaxFunctor.toPrelaxFunctorStruct · cited by 1154PrelaxFunctor.toPrelaxFun…CategoryTheory.PrelaxFunctorStruct.toPrefunctor · cited by 1142PrelaxFunctorStruct.toPre…CategoryTheory.Pseudofunctor.toPrelaxFunctor · cited by 640Pseudofunctor.toPrelaxFun…CategoryTheory.Pseudofunctor · cited by 571CategoryTheory.Pseudofunc…CategoryTheory.Pseudofunctor.StrongTrans · cited by 13Pseudofunctor.StrongTransStrongTrans.appCITED BYCITES

Cites8

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Cited by123

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