Theorems · Theorem · category theory

CategoryTheory.Bicategory.unitors_equal

∀ {B : Type u} [inst : CategoryTheory.Bicategory B] {a : B},
  (CategoryTheory.Bicategory.leftUnitor (CategoryTheory.CategoryStruct.id a)).hom =
    (CategoryTheory.Bicategory.rightUnitor (CategoryTheory.CategoryStruct.id a)).hom

Defined in: Mathlib.CategoryTheory.Bicategory.Basic
Cited by: 5 results in Mathlib
Foundations: Depth 23 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.CategoryStruct.idstatement and proof · cited by 6,235
CategoryTheory.Bicategorystatement and proof · cited by 1,587
CategoryTheory.Bicategory.whiskerRightproof · cited by 531
CategoryTheory.Bicategory.whiskerLeftproof · cited by 524
CategoryTheory.cancel_monoproof · cited by 435
CategoryTheory.Bicategory.associatorproof · cited by 405
CategoryTheory.cancel_epiproof · cited by 380
CategoryTheory.Bicategory.leftUnitorstatement and proof · cited by 309
CategoryTheory.Bicategory.rightUnitorstatement and proof · cited by 308

Cited by5

Results whose statement or proof uses this declaration.

CategoryTheory.Bicategory.unitors_inv_equalproof · cited by 6
CategoryTheory.Bicategory.associator_eqToHom_homproof · cited by 1
CategoryTheory.Bicategory.associator_eqToHom_invproof · cited by 1
CategoryTheory.Bicategory.conjugateEquiv_associator_homproof · cited by 0
CategoryTheory.Bicategory.Prod.sectL_mapComp_invproof · cited by 0