Theorems · Definition · category theory
CategoryTheory.Lax.LaxTrans.app
{B : Type u₁} →
[inst : CategoryTheory.Bicategory B] →
{C : Type u₂} →
[inst_1 : CategoryTheory.Bicategory C] →
{F G : CategoryTheory.LaxFunctor B C} → CategoryTheory.Lax.LaxTrans F G → (a : B) → F.obj a ⟶ G.obj aThe component 1-morphisms of a lax transformation.
- Cited by
- 61 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
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.Homstatement · cited by 32,603
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- Prefunctor.objstatement · cited by 1,241
- CategoryTheory.PrelaxFunctor.toPrelaxFunctorStructstatement · cited by 1,154
- CategoryTheory.PrelaxFunctorStruct.toPrefunctorstatement · cited by 1,142
- CategoryTheory.LaxFunctor.toPrelaxFunctorstatement · cited by 216
- CategoryTheory.LaxFunctorstatement and proof · cited by 201
- CategoryTheory.Lax.LaxTransstatement and proof · cited by 17
Cited by86
Results whose statement or proof uses this declaration.
- CategoryTheory.Lax.LaxTrans.Modification.appstatement · cited by 28
- CategoryTheory.Lax.LaxTrans.naturalitystatement · cited by 26
- CategoryTheory.Lax.StrongTrans.vCompproof · cited by 3
- CategoryTheory.Lax.LaxTrans.vCompAppproof · cited by 3
- CategoryTheory.Lax.LaxTrans.vCompNaturalitystatement and proof · cited by 3
- CategoryTheory.Lax.LaxTrans.Modification.extstatement and proof · cited by 2
- CategoryTheory.Lax.LaxTrans.associatorproof · cited by 2
- CategoryTheory.Lax.LaxTrans.isoMkstatement and proof · cited by 2
- CategoryTheory.Lax.LaxTrans.leftUnitorproof · cited by 2
- CategoryTheory.Lax.LaxTrans.naturality_compstatement · cited by 2
- CategoryTheory.Lax.LaxTrans.naturality_idstatement · cited by 2
- CategoryTheory.Lax.LaxTrans.naturality_naturalitystatement · cited by 2