Theorems · Theorem · category theory

CategoryTheory.Bicategory.leftUnitor_comp_inv

∀ {B : Type u} [inst : CategoryTheory.Bicategory B] {a b c : B} (f : a ⟶ b) (g : b ⟶ c),
  (CategoryTheory.Bicategory.leftUnitor (CategoryTheory.CategoryStruct.comp f g)).inv =
    CategoryTheory.CategoryStruct.comp
      (CategoryTheory.Bicategory.whiskerRight (CategoryTheory.Bicategory.leftUnitor f).inv g)
      (CategoryTheory.Bicategory.associator (CategoryTheory.CategoryStruct.id a) f g).hom

Defined in: Mathlib.CategoryTheory.Bicategory.Basic
Cited by: 1 results in Mathlib
Foundations: Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Bicategory

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Cites13

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 and proof · cited by 17,999
CategoryTheory.Iso.homstatement and proof · cited by 7,684
CategoryTheory.Iso.invstatement and proof · cited by 6,514
CategoryTheory.Category.assocproof · cited by 6,433
CategoryTheory.CategoryStruct.idstatement and proof · cited by 6,235
CategoryTheory.Category.comp_idproof · cited by 2,119
CategoryTheory.Bicategorystatement and proof · cited by 1,587
CategoryTheory.Bicategory.whiskerRightstatement · cited by 531
CategoryTheory.Bicategory.associatorstatement and proof · cited by 405
CategoryTheory.Bicategory.leftUnitorstatement and proof · cited by 309
CategoryTheory.Iso.inv_hom_idproof · cited by 308

Cited by1

Results whose statement or proof uses this declaration.

CategoryTheory.Bicategory.leftUnitor_comp_inv_assocproof · cited by 0