Theorems · Definition · category theory
CategoryTheory.LaxFunctor.comp
{B : Type u₁} →
[inst : CategoryTheory.Bicategory B] →
{C : Type u₂} →
[inst_1 : CategoryTheory.Bicategory C] →
{D : Type u₃} →
[inst_2 : CategoryTheory.Bicategory D] →
CategoryTheory.LaxFunctor B C → CategoryTheory.LaxFunctor C D → CategoryTheory.LaxFunctor B DComposition of lax functors.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- Prefunctor.objproof · cited by 1,241
- CategoryTheory.PrelaxFunctor.toPrelaxFunctorStructproof · cited by 1,154
- CategoryTheory.PrelaxFunctorStruct.toPrefunctorproof · cited by 1,142
- Prefunctor.mapproof · cited by 952
- CategoryTheory.PrelaxFunctorStruct.map₂proof · cited by 303
- CategoryTheory.LaxFunctor.toPrelaxFunctorproof · cited by 216
- CategoryTheory.LaxFunctorstatement and proof · cited by 201
- CategoryTheory.LaxFunctor.mapCompproof · cited by 77
- CategoryTheory.LaxFunctor.mapIdproof · cited by 61
Cited by4
Results whose statement or proof uses this declaration.
- CategoryTheory.StrictlyUnitaryLaxFunctor.compproof · cited by 8
- CategoryTheory.LaxFunctor.comp_mapCompstatement and proof · cited by 0
- CategoryTheory.LaxFunctor.comp_mapIdstatement and proof · cited by 0
- CategoryTheory.LaxFunctor.comp_toPrelaxFunctorstatement and proof · cited by 0