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Theorems · Definition · category theory

CategoryTheory.Oplax.LaxTrans.app

{B : Type u₁} →
  [inst : CategoryTheory.Bicategory B] →
    {C : Type u₂} →
      [inst_1 : CategoryTheory.Bicategory C] →
        {F G : CategoryTheory.OplaxFunctor B C} → CategoryTheory.Oplax.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.Oplax
Cited by
48 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.Oplax.LaxTrans.Modification.app · cited by 32Modification.appCategoryTheory.Oplax.LaxTrans.naturality · cited by 24LaxTrans.naturalityCategoryTheory.Oplax.LaxTrans.vCompApp · cited by 3LaxTrans.vCompAppCategoryTheory.Oplax.LaxTrans.vCompNaturality · cited by 3LaxTrans.vCompNaturalityCategoryTheory.Oplax.LaxTrans.Modification.naturality · cited by 3Modification.naturalityCategoryTheory.Oplax.LaxTrans.associator · cited by 2LaxTrans.associatorCategoryTheory.Oplax.LaxTrans.isoMk · cited by 2LaxTrans.isoMkCategoryTheory.Oplax.LaxTrans.leftUnitor · cited by 2LaxTrans.leftUnitorCategoryTheory.Oplax.LaxTrans.naturality_comp · cited by 2LaxTrans.naturality_compCategoryTheory.Oplax.LaxTrans.naturality_id · cited by 2LaxTrans.naturality_idCategoryTheory.Oplax.LaxTrans.naturality_naturality · cited by 2LaxTrans.naturality_natur…CategoryTheory.Oplax.LaxTrans.rightUnitor · cited by 2LaxTrans.rightUnitorCategoryTheory.Oplax.LaxTrans.Modification.ext · cited by 2Modification.extCategoryTheory.Oplax.LaxTrans.whiskerLeft · cited by 1LaxTrans.whiskerLeftCategoryTheory.Oplax.LaxTrans.whiskerRight · cited by 1LaxTrans.whiskerRightQuiver.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.LaxTrans · cited by 14Oplax.LaxTransLaxTrans.appCITED BYCITES

Cites8

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Cited by64

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