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Theorems · Definition · category theory

CategoryTheory.Oplax.OplaxTrans.app

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

The component 1-morphisms of an oplax transformation.

Defined in
Mathlib.CategoryTheory.Bicategory.NaturalTransformation.Oplax
Cited by
76 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.OplaxTrans.naturality · cited by 38OplaxTrans.naturalityCategoryTheory.Oplax.OplaxTrans.Modification.app · cited by 34Modification.appCategoryTheory.Oplax.OplaxTrans.vcomp · cited by 7OplaxTrans.vcompCategoryTheory.Oplax.StrongTrans.vcomp · cited by 5StrongTrans.vcompCategoryTheory.Oplax.OplaxTrans.naturality_comp · cited by 3OplaxTrans.naturality_compCategoryTheory.Oplax.OplaxTrans.naturality_id · cited by 3OplaxTrans.naturality_idCategoryTheory.Oplax.OplaxTrans.naturality_naturality · cited by 3OplaxTrans.naturality_nat…CategoryTheory.Oplax.OplaxTrans.Modification.naturality · cited by 3Modification.naturalityCategoryTheory.Oplax.OplaxTrans.associator · cited by 2OplaxTrans.associatorCategoryTheory.Oplax.OplaxTrans.isoMk · cited by 2OplaxTrans.isoMkCategoryTheory.Oplax.OplaxTrans.leftUnitor · cited by 2OplaxTrans.leftUnitorCategoryTheory.Oplax.OplaxTrans.rightUnitor · cited by 2OplaxTrans.rightUnitorCategoryTheory.Oplax.OplaxTrans.whiskerLeft_naturality_comp · cited by 2OplaxTrans.whiskerLeft_na…CategoryTheory.Oplax.OplaxTrans.whiskerLeft_naturality_id · cited by 2OplaxTrans.whiskerLeft_na…CategoryTheory.Oplax.OplaxTrans.whiskerLeft_naturality_naturality · cited by 2OplaxTrans.whiskerLeft_na…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 · cited by 24Oplax.OplaxTransOplaxTrans.appCITED BYCITES

Cites8

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Cited by100

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