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Theorems · Definition · category theory

CategoryTheory.Lax.LaxTrans.app

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

The component 1-morphisms of a lax transformation.

Defined in
Mathlib.CategoryTheory.Bicategory.NaturalTransformation.Lax
Cited by
61 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
CategoryTheory.BicategoryCategoryTheory.Bicategory

Around this declaration

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

CategoryTheory.Lax.LaxTrans.Modification.app · cited by 28Modification.appCategoryTheory.Lax.LaxTrans.naturality · cited by 26LaxTrans.naturalityCategoryTheory.Lax.StrongTrans.vComp · cited by 3StrongTrans.vCompCategoryTheory.Lax.LaxTrans.vCompApp · cited by 3LaxTrans.vCompAppCategoryTheory.Lax.LaxTrans.vCompNaturality · cited by 3LaxTrans.vCompNaturalityCategoryTheory.Lax.LaxTrans.Modification.ext · cited by 2Modification.extCategoryTheory.Lax.LaxTrans.associator · cited by 2LaxTrans.associatorCategoryTheory.Lax.LaxTrans.isoMk · cited by 2LaxTrans.isoMkCategoryTheory.Lax.LaxTrans.leftUnitor · cited by 2LaxTrans.leftUnitorCategoryTheory.Lax.LaxTrans.naturality_comp · cited by 2LaxTrans.naturality_compCategoryTheory.Lax.LaxTrans.naturality_id · cited by 2LaxTrans.naturality_idCategoryTheory.Lax.LaxTrans.naturality_naturality · cited by 2LaxTrans.naturality_natur…CategoryTheory.Lax.LaxTrans.rightUnitor · cited by 2LaxTrans.rightUnitorCategoryTheory.Lax.LaxTrans.Modification.mk.inj · cited by 1mk.injCategoryTheory.Lax.LaxTrans.Modification.mk.noConfusion · cited by 1mk.noConfusionQuiver.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.LaxTrans · cited by 17Lax.LaxTransLaxTrans.appCITED BYCITES

Cites8

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Cited by86

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