Theorems · Theorem · category theory

CategoryTheory.Bicategory.triangle_assoc_comp_right_inv

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

Defined in: Mathlib.CategoryTheory.Bicategory.Basic
Cited by: 2 results in Mathlib
Foundations: Depth 12 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Bicategory

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Cites16

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.Bicategorystatement and proof · cited by 1,587
CategoryTheory.Bicategory.whiskerRightstatement and proof · cited by 531
CategoryTheory.Bicategory.whiskerLeftstatement and proof · cited by 524
CategoryTheory.cancel_monoproof · cited by 435
CategoryTheory.Bicategory.associatorstatement and proof · cited by 405
CategoryTheory.Bicategory.leftUnitorstatement and proof · cited by 309

Cited by2

Results whose statement or proof uses this declaration.

CategoryTheory.Oplax.OplaxTrans.whiskerRight_naturality_idproof · cited by 2
CategoryTheory.Bicategory.triangle_assoc_comp_right_inv_assocproof · cited by 0