Theorems · Definition · category theory
CategoryTheory.Bicategory.whiskerLeft
{B : Type u} →
[self : CategoryTheory.Bicategory B] →
{a b c : B} →
(f : a ⟶ b) →
{g h : b ⟶ c} → (g ⟶ h) → (CategoryTheory.CategoryStruct.comp f g ⟶ CategoryTheory.CategoryStruct.comp f h)Left whiskering for morphisms
- Defined in
- Mathlib.CategoryTheory.Bicategory.Basic
- Cited by
- 524 results in Mathlib
- Foundations
- Depth 3 from the axioms, rests on 11 definitions · uses no axioms
- Assumes
- CategoryTheory.Bicategory
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.compstatement · cited by 17,999
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
Cited by665
Results whose statement or proof uses this declaration.
- CategoryTheory.Cat.whiskerLeft_appstatement · cited by 51
- CategoryTheory.Bicategory.whiskerLeftIsoproof · cited by 48
- CategoryTheory.Bicategory.precompproof · cited by 40
- CategoryTheory.Bicategory.rightZigzagproof · cited by 15
- CategoryTheory.Bicategory.LeftLift.whiskerproof · cited by 15
- CategoryTheory.Bicategory.leftZigzagproof · cited by 15
- CategoryTheory.Bicategory.whisker_exchangestatement · cited by 13
- CategoryTheory.Bicategory.whiskerLeft_compstatement · cited by 12
- CategoryTheory.Bicategory.whiskerLeft_idstatement · cited by 12
- CategoryTheory.Bicategory.postcomposingproof · cited by 11
- CategoryTheory.Bicategory.inv_whiskerLeftstatement and proof · cited by 10
- CategoryTheory.Bicategory.id_whiskerLeftstatement · cited by 9
Showing the 200 most cited of 665.