Theorems · Definition · category theory
CategoryTheory.Lax.OplaxTrans.app
{B : Type u₁} →
[inst : CategoryTheory.Bicategory B] →
{C : Type u₂} →
[inst_1 : CategoryTheory.Bicategory C] →
{F G : CategoryTheory.LaxFunctor B C} → CategoryTheory.Lax.OplaxTrans F G → (a : B) → F.obj a ⟶ G.obj aThe component 1-morphisms of an oplax transformation.
- Cited by
- 44 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.OplaxTransstatement and proof · cited by 14
Cited by60
Results whose statement or proof uses this declaration.
- CategoryTheory.Lax.OplaxTrans.Modification.appstatement · cited by 28
- CategoryTheory.Lax.OplaxTrans.naturalitystatement · cited by 20
- CategoryTheory.Lax.OplaxTrans.vCompAppproof · cited by 3
- CategoryTheory.Lax.OplaxTrans.vCompNaturalitystatement and proof · cited by 3
- CategoryTheory.Lax.OplaxTrans.associatorproof · cited by 2
- CategoryTheory.Lax.OplaxTrans.Modification.extstatement and proof · cited by 2
- CategoryTheory.Lax.OplaxTrans.isoMkstatement and proof · cited by 2
- CategoryTheory.Lax.OplaxTrans.naturality_compstatement · cited by 2
- CategoryTheory.Lax.OplaxTrans.naturality_idstatement · cited by 2
- CategoryTheory.Lax.OplaxTrans.naturality_naturalitystatement · cited by 2
- CategoryTheory.Lax.OplaxTrans.rightUnitorproof · cited by 2
- CategoryTheory.Lax.OplaxTrans.leftUnitorproof · cited by 2