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Theorems · Definition · category theory

CategoryTheory.Oplax.OplaxTrans.Modification.app

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

The underlying family of 2-morphisms.

Defined in
Mathlib.CategoryTheory.Bicategory.Modification.Oplax
Cited by
34 results in Mathlib
Foundations
Depth 29 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.Oplax.OplaxTrans.Modification.naturality · cited by 3Modification.naturalityCategoryTheory.Oplax.StrongTrans.Modification.mkOfOplax · cited by 2Modification.mkOfOplaxCategoryTheory.Oplax.OplaxTrans.Modification.ext · cited by 2Modification.extCategoryTheory.Oplax.OplaxTrans.Modification.whiskerLeft_naturality · cited by 2Modification.whiskerLeft_…CategoryTheory.Oplax.OplaxTrans.Modification.whiskerRight_naturality · cited by 2Modification.whiskerRight…CategoryTheory.Oplax.OplaxTrans.homCategory.ext · cited by 1homCategory.extCategoryTheory.Oplax.OplaxTrans.whiskerLeft · cited by 1OplaxTrans.whiskerLeftCategoryTheory.Oplax.OplaxTrans.Modification.vcomp · cited by 1Modification.vcompCategoryTheory.Oplax.OplaxTrans.whiskerRight · cited by 1OplaxTrans.whiskerRightCategoryTheory.Oplax.OplaxTrans.homCategory.ext_iff · cited by 0homCategory.ext_iffCategoryTheory.Oplax.StrongTrans.Modification.mkOfOplax_app · cited by 0Modification.mkOfOplax_appCategoryTheory.Oplax.OplaxTrans.associator_hom_as_app · cited by 0OplaxTrans.associator_hom…CategoryTheory.Oplax.OplaxTrans.associator_inv_as_app · cited by 0OplaxTrans.associator_inv…CategoryTheory.Oplax.StrongTrans.Modification.toOplax_app · cited by 0Modification.toOplax_appCategoryTheory.Oplax.OplaxTrans.homCategory_comp_as_app · cited by 0OplaxTrans.homCategory_co…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.OplaxFunctor · cited by 253CategoryTheory.OplaxFunct…CategoryTheory.OplaxFunctor.toPrelaxFunctor · cited by 246OplaxFunctor.toPrelaxFunc…CategoryTheory.Oplax.OplaxTrans.app · cited by 76OplaxTrans.appCategoryTheory.Oplax.OplaxTrans.categoryStruct · cited by 49OplaxTrans.categoryStructCategoryTheory.Oplax.OplaxTrans.Modification · cited by 21OplaxTrans.ModificationModification.appCITED BYCITES

Cites10

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Cited by38

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