Theorems · Definition · category theory
CategoryTheory.Lax.LaxTrans.vCompApp
{B : Type u₁} →
[inst : CategoryTheory.Bicategory B] →
{C : Type u₂} →
[inst_1 : CategoryTheory.Bicategory C] →
{F G H : CategoryTheory.LaxFunctor B C} →
CategoryTheory.Lax.LaxTrans F G → CategoryTheory.Lax.LaxTrans G H → (a : B) → F.obj a ⟶ H.obj aAuxiliary definition for vComp.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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.CategoryStruct.compproof · cited by 17,999
- 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.LaxTrans.appproof · cited by 61
- CategoryTheory.Lax.LaxTransstatement and proof · cited by 17
Cited by4
Results whose statement or proof uses this declaration.
- CategoryTheory.Lax.LaxTrans.vCompproof · cited by 5
- CategoryTheory.Lax.LaxTrans.vComp_naturality_compstatement and proof · cited by 0
- CategoryTheory.Lax.LaxTrans.vComp_naturality_idstatement and proof · cited by 0
- CategoryTheory.Lax.LaxTrans.vComp_naturality_naturalitystatement and proof · cited by 0