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Theorems · Definition · category theory

CategoryTheory.Lax.OplaxTrans.Modification.app

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

The underlying family of 2-morphisms.

Defined in
Mathlib.CategoryTheory.Bicategory.Modification.Lax
Cited by
28 results in Mathlib
Foundations
Depth 28 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.Lax.OplaxTrans.Modification.ext · cited by 2Modification.extCategoryTheory.Lax.OplaxTrans.Modification.naturality · cited by 1Modification.naturalityCategoryTheory.Lax.OplaxTrans.Modification.vcomp · cited by 1Modification.vcompCategoryTheory.Lax.OplaxTrans.homCategory.ext · cited by 1homCategory.extCategoryTheory.Lax.OplaxTrans.whiskerLeft · cited by 1OplaxTrans.whiskerLeftCategoryTheory.Lax.OplaxTrans.whiskerRight · cited by 1OplaxTrans.whiskerRightCategoryTheory.Lax.OplaxTrans.LaxFunctor.bicategory_associator_hom_as_app · cited by 0LaxFunctor.bicategory_ass…CategoryTheory.Lax.OplaxTrans.LaxFunctor.bicategory_associator_inv_as_app · cited by 0LaxFunctor.bicategory_ass…CategoryTheory.Lax.OplaxTrans.LaxFunctor.bicategory_leftUnitor_hom_as_app · cited by 0LaxFunctor.bicategory_lef…CategoryTheory.Lax.OplaxTrans.LaxFunctor.bicategory_leftUnitor_inv_as_app · cited by 0LaxFunctor.bicategory_lef…CategoryTheory.Lax.OplaxTrans.LaxFunctor.bicategory_rightUnitor_hom_as_app · cited by 0LaxFunctor.bicategory_rig…CategoryTheory.Lax.OplaxTrans.LaxFunctor.bicategory_rightUnitor_inv_as_app · cited by 0LaxFunctor.bicategory_rig…CategoryTheory.Lax.OplaxTrans.associator_hom_as_app · cited by 0OplaxTrans.associator_hom…CategoryTheory.Lax.OplaxTrans.associator_inv_as_app · cited by 0OplaxTrans.associator_inv…CategoryTheory.Lax.OplaxTrans.LaxFunctor.bicategory_whiskerLeft_as_app · cited by 0LaxFunctor.bicategory_whi…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.LaxFunctor.toPrelaxFunctor · cited by 216LaxFunctor.toPrelaxFunctorCategoryTheory.LaxFunctor · cited by 201CategoryTheory.LaxFunctorCategoryTheory.Lax.OplaxTrans.app · cited by 44OplaxTrans.appCategoryTheory.Lax.OplaxTrans.Modification · cited by 14OplaxTrans.ModificationModification.appCITED BYCITES

Cites9

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Cited by31

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