Theorems · Definition · category theory
CategoryTheory.Lax.LaxTrans.LaxFunctor.bicategory
(B : Type u₁) →
[inst : CategoryTheory.Bicategory B] →
(C : Type u₂) → [inst_1 : CategoryTheory.Bicategory C] → CategoryTheory.Bicategory (CategoryTheory.LaxFunctor B C)A bicategory structure on the lax functors between bicategories, with lax transformations.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.LaxFunctorstatement and proof · cited by 201
- CategoryTheory.Lax.LaxTrans.rightUnitorproof · cited by 2
- CategoryTheory.Lax.LaxTrans.leftUnitorproof · cited by 2
- CategoryTheory.Lax.LaxTrans.associatorproof · cited by 2
- CategoryTheory.Lax.LaxTrans.whiskerLeftproof · cited by 1
- CategoryTheory.Lax.LaxTrans.whiskerRightproof · cited by 1
Cited by8
Results whose statement or proof uses this declaration.
- CategoryTheory.Lax.LaxTrans.LaxFunctor.bicategory_associator_hom_as_appstatement · cited by 0
- CategoryTheory.Lax.LaxTrans.LaxFunctor.bicategory_associator_inv_as_appstatement · cited by 0
- CategoryTheory.Lax.LaxTrans.LaxFunctor.bicategory_leftUnitor_hom_as_appstatement · cited by 0
- CategoryTheory.Lax.LaxTrans.LaxFunctor.bicategory_leftUnitor_inv_as_appstatement · cited by 0
- CategoryTheory.Lax.LaxTrans.LaxFunctor.bicategory_rightUnitor_hom_as_appstatement · cited by 0
- CategoryTheory.Lax.LaxTrans.LaxFunctor.bicategory_rightUnitor_inv_as_appstatement · cited by 0
- CategoryTheory.Lax.LaxTrans.LaxFunctor.bicategory_whiskerLeft_as_appstatement · cited by 0
- CategoryTheory.Lax.LaxTrans.LaxFunctor.bicategory_whiskerRight_as_appstatement · cited by 0