Theorems · Theorem · category theory

CategoryTheory.Bicategory.unitors_inv_equal

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

Defined in: Mathlib.CategoryTheory.Bicategory.Basic
Cited by: 6 results in Mathlib
Foundations: Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Bicategory

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Cites9

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.Iso.homproof · cited by 7,684
CategoryTheory.Iso.invstatement · cited by 6,514
CategoryTheory.CategoryStruct.idstatement and proof · cited by 6,235
CategoryTheory.Bicategorystatement and proof · cited by 1,587
CategoryTheory.Bicategory.leftUnitorstatement and proof · cited by 309
CategoryTheory.Bicategory.rightUnitorstatement and proof · cited by 308
CategoryTheory.Bicategory.unitors_equalproof · cited by 5

Cited by6

Results whose statement or proof uses this declaration.

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_homproof · cited by 0
CategoryTheory.Bicategory.eqToHomTransIso_refl_leftproof · cited by 0
CategoryTheory.Bicategory.eqToHomTransIso_refl_rightproof · cited by 0