Theorems · Definition · category theory
CategoryTheory.Oplax.OplaxTrans.whiskerLeft
{B : Type u₁} →
[inst : CategoryTheory.Bicategory B] →
{C : Type u₂} →
[inst_1 : CategoryTheory.Bicategory C] →
{F G H : CategoryTheory.OplaxFunctor B C} →
(η : F ⟶ G) →
{θ ι : G ⟶ H} → (θ ⟶ ι) → (CategoryTheory.CategoryStruct.comp η θ ⟶ CategoryTheory.CategoryStruct.comp η ι)Left whiskering of an oplax 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.
Cites10
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.OplaxFunctorstatement and proof · cited by 253
- CategoryTheory.Oplax.OplaxTrans.appproof · cited by 76
- CategoryTheory.Oplax.OplaxTrans.categoryStructstatement · cited by 49
- CategoryTheory.Oplax.OplaxTrans.Modification.appproof · cited by 34
- CategoryTheory.Oplax.OplaxTrans.Hom.asproof · cited by 24
- CategoryTheory.Oplax.OplaxTrans.homCategorystatement · cited by 22
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Oplax.OplaxTrans.OplaxFunctor.bicategoryproof · cited by 8
- CategoryTheory.Oplax.OplaxTrans.whiskerLeft_as_appstatement and proof · cited by 0