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.
- Cited by
- 49 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.CategoryStructstatement · cited by 343
- CategoryTheory.OplaxFunctorstatement and proof · cited by 253
- CategoryTheory.Oplax.OplaxTrans.vcompproof · cited by 7
- CategoryTheory.Oplax.OplaxTrans.idproof · cited by 6
Cited by82
Results whose statement or proof uses this declaration.
- CategoryTheory.Oplax.OplaxTrans.Modification.appstatement · cited by 34
- CategoryTheory.Oplax.OplaxTrans.Hom.asstatement · cited by 24
- CategoryTheory.Oplax.OplaxTrans.homCategorystatement · cited by 22
- CategoryTheory.Oplax.OplaxTrans.Modificationstatement · cited by 21
- CategoryTheory.Oplax.OplaxTrans.Homstatement · cited by 6
- CategoryTheory.Oplax.OplaxTrans.StrongCorestatement · cited by 4
- CategoryTheory.Oplax.OplaxTrans.Modification.naturalitystatement · cited by 3
- CategoryTheory.Oplax.OplaxTrans.associatorstatement · cited by 2
- CategoryTheory.Oplax.OplaxTrans.isoMkstatement · cited by 2
- CategoryTheory.Oplax.OplaxTrans.leftUnitorstatement · cited by 2
- CategoryTheory.Oplax.OplaxTrans.rightUnitorstatement · cited by 2
- CategoryTheory.Oplax.OplaxTrans.Hom.extstatement · cited by 2