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Theorems · Definition · category theory

CategoryTheory.Oplax.OplaxTrans.categoryStruct

{B : Type u₁} →
  [inst : CategoryTheory.Bicategory B] →
    {C : Type u₂} →
      [inst_1 : CategoryTheory.Bicategory C] →
        CategoryTheory.CategoryStruct.{max (max (max u₁ v₁) v₂) w₂, max (max (max (max (max u₂ u₁) v₂) v₁) w₂) w₁}
          (CategoryTheory.OplaxFunctor B C)

CategoryStruct on B ⥤ᵒᵖᴸ C where the (1-)morphisms are given by oplax transformations.

Defined in
Mathlib.CategoryTheory.Bicategory.NaturalTransformation.Oplax
Cited by
49 results in Mathlib
Foundations
Depth 27 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.Oplax.OplaxTrans.Modification.app · cited by 34Modification.appCategoryTheory.Oplax.OplaxTrans.Hom.as · cited by 24Hom.asCategoryTheory.Oplax.OplaxTrans.homCategory · cited by 22OplaxTrans.homCategoryCategoryTheory.Oplax.OplaxTrans.Modification · cited by 21OplaxTrans.ModificationCategoryTheory.Oplax.OplaxTrans.Hom · cited by 6OplaxTrans.HomCategoryTheory.Oplax.OplaxTrans.StrongCore · cited by 4OplaxTrans.StrongCoreCategoryTheory.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.Hom.ext · cited by 2Hom.extCategoryTheory.Oplax.OplaxTrans.Modification.ext · cited by 2Modification.extCategoryTheory.Oplax.OplaxTrans.Modification.whiskerLeft_naturality · cited by 2Modification.whiskerLeft_…CategoryTheory.Oplax.OplaxTrans.Modification.whiskerRight_naturality · cited by 2Modification.whiskerRight…CategoryTheory.Bicategory · cited by 1587CategoryTheory.BicategoryCategoryTheory.CategoryStruct · cited by 343CategoryTheory.CategorySt…CategoryTheory.OplaxFunctor · cited by 253CategoryTheory.OplaxFunct…CategoryTheory.Oplax.OplaxTrans.vcomp · cited by 7OplaxTrans.vcompCategoryTheory.Oplax.OplaxTrans.id · cited by 6OplaxTrans.idOplaxTrans.categoryStructCITED BYCITES

Cites5

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Cited by82

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