Theorems · Definition · category theory
CategoryTheory.Lax.LaxTrans.whiskerLeft
{B : Type u₁} →
[inst : CategoryTheory.Bicategory B] →
{C : Type u₂} →
[inst_1 : CategoryTheory.Bicategory C] →
{F G H : CategoryTheory.LaxFunctor B C} →
(η : F ⟶ G) →
{θ ι : G ⟶ H} → (θ ⟶ ι) → (CategoryTheory.CategoryStruct.comp η θ ⟶ CategoryTheory.CategoryStruct.comp η ι)Left whiskering of a lax natural transformation and a modification.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.whiskerLeftproof · cited by 524
- CategoryTheory.LaxFunctorstatement and proof · cited by 201
- CategoryTheory.Lax.LaxTrans.appproof · cited by 61
- CategoryTheory.Lax.LaxTrans.Modification.appproof · cited by 28
- CategoryTheory.Lax.LaxTrans.Hom.asproof · cited by 24
- CategoryTheory.Lax.LaxTrans.homCategorystatement · cited by 22
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Lax.LaxTrans.LaxFunctor.bicategoryproof · cited by 8
- CategoryTheory.Lax.LaxTrans.whiskerLeft_as_appstatement and proof · cited by 0