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Theorems · Definition · category theory

CategoryTheory.Oplax.StrongTrans.app

{B : Type u₁} →
  [inst : CategoryTheory.Bicategory B] →
    {C : Type u₂} →
      [inst_1 : CategoryTheory.Bicategory C] →
        {F G : CategoryTheory.OplaxFunctor B C} → CategoryTheory.Oplax.StrongTrans F G → (a : B) → F.obj a ⟶ G.obj a
Defined in
Mathlib.CategoryTheory.Bicategory.NaturalTransformation.Oplax
Cited by
60 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.StrongTrans.naturality · cited by 46StrongTrans.naturalityCategoryTheory.Oplax.StrongTrans.toOplax · cited by 21StrongTrans.toOplaxCategoryTheory.Oplax.StrongTrans.Modification.app · cited by 20Modification.appCategoryTheory.Oplax.StrongTrans.vcomp · cited by 5StrongTrans.vcompCategoryTheory.Oplax.StrongTrans.whiskerLeft_naturality_comp · cited by 3StrongTrans.whiskerLeft_n…CategoryTheory.Oplax.StrongTrans.whiskerLeft_naturality_id · cited by 3StrongTrans.whiskerLeft_n…CategoryTheory.Oplax.StrongTrans.whiskerLeft_naturality_naturality · cited by 3StrongTrans.whiskerLeft_n…CategoryTheory.Oplax.StrongTrans.whiskerRight_naturality_comp · cited by 3StrongTrans.whiskerRight_…CategoryTheory.Oplax.StrongTrans.whiskerRight_naturality_id · cited by 3StrongTrans.whiskerRight_…CategoryTheory.Oplax.StrongTrans.whiskerRight_naturality_naturality · cited by 3StrongTrans.whiskerRight_…CategoryTheory.Oplax.StrongTrans.Modification.ext · cited by 2Modification.extCategoryTheory.Oplax.StrongTrans.Modification.whiskerLeft_naturality · cited by 2Modification.whiskerLeft_…CategoryTheory.Oplax.StrongTrans.Modification.whiskerRight_naturality · cited by 2Modification.whiskerRight…CategoryTheory.Pseudofunctor.StrongTrans.mkOfOplax · cited by 2StrongTrans.mkOfOplaxCategoryTheory.Oplax.StrongTrans.isoMk · cited by 2StrongTrans.isoMkQuiver.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.StrongTrans · cited by 37Oplax.StrongTransStrongTrans.appCITED BYCITES

Cites8

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Cited by72

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