Theorems · Definition · category theory
CategoryTheory.PrelaxFunctor.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.PrelaxFunctor B C → CategoryTheory.PrelaxFunctor C D → CategoryTheory.PrelaxFunctor B DComposition of prelax functors.
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
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.PrelaxFunctor.toPrelaxFunctorStructproof · cited by 1,154
- CategoryTheory.PrelaxFunctorstatement and proof · cited by 48
- CategoryTheory.PrelaxFunctorStructproof · cited by 11
- CategoryTheory.PrelaxFunctorStruct.compproof · cited by 3
Cited by20
Results whose statement or proof uses this declaration.
- CategoryTheory.LaxFunctor.compproof · cited by 3
- CategoryTheory.Pseudofunctor.compproof · cited by 3
- CategoryTheory.OplaxFunctor.compproof · cited by 0
- CategoryTheory.StrictPseudofunctor.comp_mapComp_homstatement · cited by 0
- CategoryTheory.StrictPseudofunctor.comp_mapComp_invstatement · cited by 0
- CategoryTheory.StrictPseudofunctor.comp_mapId_homstatement · cited by 0
- CategoryTheory.StrictPseudofunctor.comp_mapId_invstatement · cited by 0
- CategoryTheory.LaxFunctor.comp_mapCompstatement · cited by 0
- CategoryTheory.LaxFunctor.comp_mapIdstatement · cited by 0
- CategoryTheory.LaxFunctor.comp_toPrelaxFunctorstatement · cited by 0
- CategoryTheory.PrelaxFunctor.comp_toPrelaxFunctorStructstatement and proof · cited by 0
- CategoryTheory.StrictlyUnitaryPseudofunctor.comp_mapComp_homstatement · cited by 0