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Theorems · Definition · category theory

CategoryTheory.Pseudofunctor.StrongTrans.Modification.app

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

The underlying family of 2-morphism.

Defined in
Mathlib.CategoryTheory.Bicategory.Modification.Pseudo
Cited by
32 results in Mathlib
Foundations
Depth 37 from the axioms · 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.toOplax · cited by 4Modification.toOplaxCategoryTheory.Pseudofunctor.StrongTrans.Modification.ext · cited by 2Modification.extCategoryTheory.Pseudofunctor.StrongTrans.Modification.naturality · cited by 1Modification.naturalityCategoryTheory.Pseudofunctor.StrongTrans.Modification.vcomp · cited by 1Modification.vcompCategoryTheory.Pseudofunctor.StrongTrans.Modification.whiskerLeft_naturality · cited by 1Modification.whiskerLeft_…CategoryTheory.Pseudofunctor.StrongTrans.Modification.whiskerRight_naturality · cited by 1Modification.whiskerRight…CategoryTheory.Pseudofunctor.StrongTrans.homCategory.ext · cited by 1homCategory.extCategoryTheory.Pseudofunctor.StrongTrans.rightUnitor_hom_as_app · cited by 0StrongTrans.rightUnitor_h…CategoryTheory.Pseudofunctor.StrongTrans.rightUnitor_inv_as_app · cited by 0StrongTrans.rightUnitor_i…CategoryTheory.Pseudofunctor.StrongTrans.whiskerLeft · cited by 0StrongTrans.whiskerLeftCategoryTheory.Pseudofunctor.StrongTrans.whiskerLeft_as_app · cited by 0StrongTrans.whiskerLeft_a…CategoryTheory.Pseudofunctor.StrongTrans.Modification.ext_iff · cited by 0Modification.ext_iffCategoryTheory.Pseudofunctor.StrongTrans.whiskerRight_as_app · cited by 0StrongTrans.whiskerRight_…CategoryTheory.Pseudofunctor.StrongTrans.whiskerRight · cited by 0StrongTrans.whiskerRightCategoryTheory.Pseudofunctor.StrongTrans.Modification.id_app · cited by 0Modification.id_appQuiver.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.categoryStruct · cited by 112StrongTrans.categoryStructCategoryTheory.Pseudofunctor.StrongTrans.app · cited by 106StrongTrans.appCategoryTheory.Pseudofunctor.StrongTrans.Modification · cited by 21StrongTrans.ModificationModification.appCITED BYCITES

Cites10

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Cited by36

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