Theorems · Definition · category theory

CategoryTheory.Bicategory.Adj.Bicategory.whiskerLeft

{B : Type u} →
  [inst : CategoryTheory.Bicategory B] →
    {a b c : CategoryTheory.Bicategory.Adj B} →
      (α : a ⟶ b) →
        {β β' : b ⟶ c} → (β ⟶ β') → (CategoryTheory.CategoryStruct.comp α β ⟶ CategoryTheory.CategoryStruct.comp α β')

The left whiskering in the bicategory Adj B.

Defined in: Mathlib.CategoryTheory.Bicategory.Adjunction.Adj
Cited by: 2 results in Mathlib
Foundations: Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Bicategory

Mathlib docs Source Loogle LeanSearch

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.whiskerRightproof · cited by 531
CategoryTheory.Bicategory.whiskerLeftproof · cited by 524
CategoryTheory.Bicategory.Adjstatement and proof · cited by 131
CategoryTheory.Bicategory.Adj.Hom.lproof · cited by 89
CategoryTheory.Bicategory.Adj.Hom.rproof · cited by 82
CategoryTheory.Bicategory.Adj.Hom₂.τlproof · cited by 34
CategoryTheory.Bicategory.Adj.Hom₂.τrproof · cited by 31

Cited by2

Results whose statement or proof uses this declaration.

CategoryTheory.Bicategory.Adj.Bicategory.whiskerLeft_τlstatement and proof · cited by 0
CategoryTheory.Bicategory.Adj.Bicategory.whiskerLeft_τrstatement and proof · cited by 0