Theorems · Definition · category theory
CategoryTheory.Pseudofunctor.StrongTrans.categoryStruct
{B : Type u₁} →
[inst : CategoryTheory.Bicategory B] →
{C : Type u₂} →
[inst_1 : CategoryTheory.Bicategory C] →
CategoryTheory.CategoryStruct.{max (max (max u₁ v₂) v₁) w₂, max (max (max (max (max u₂ u₁) v₂) v₁) w₂) w₁}
(CategoryTheory.Pseudofunctor B C)CategoryStruct on B ⥤ᵖ C where the (1-)morphisms are given by strong
transformations.
- Cited by
- 112 results in Mathlib
- Foundations
- Depth 35 from the axioms, rests on 170 definitions · 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.Pseudofunctorstatement and proof · cited by 571
- CategoryTheory.CategoryStructstatement · cited by 343
- CategoryTheory.Pseudofunctor.StrongTrans.vcompproof · cited by 0
- CategoryTheory.Pseudofunctor.StrongTrans.idproof · cited by 0
Cited by148
Results whose statement or proof uses this declaration.
- CategoryTheory.Pseudofunctor.StrongTrans.Modification.appstatement · cited by 32
- CategoryTheory.Pseudofunctor.StrongTrans.homCategorystatement · cited by 24
- CategoryTheory.Pseudofunctor.StrongTrans.Hom.asstatement · cited by 22
- CategoryTheory.Pseudofunctor.StrongTrans.Modificationstatement · cited by 21
- CategoryTheory.Bicategory.postcomposing₂statement · cited by 10
- CategoryTheory.Pseudofunctor.CoGrothendieck.mapstatement · cited by 8
- CategoryTheory.Pseudofunctor.Grothendieck.mapstatement · cited by 8
- CategoryTheory.Pseudofunctor.StrongTrans.Homstatement · cited by 6
- CategoryTheory.Bicategory.postcomp₂statement · cited by 6
- CategoryTheory.Pseudofunctor.StrongTrans.Modification.toOplaxstatement · cited by 4
- CategoryTheory.Pseudofunctor.StrongTrans.isoMkstatement · cited by 3
- CategoryTheory.Pseudofunctor.StrongTrans.naturality_comp_homstatement · cited by 3