Theorems · Theorem · category theory

CategoryTheory.Bicategory.mateEquiv_leftUnitor_hom_rightUnitor_inv

∀ {B : Type u} [inst : CategoryTheory.Bicategory B] {a b : B} {l : a ⟶ b} {r : b ⟶ a}
  (adj : CategoryTheory.Bicategory.Adjunction l r),
  (CategoryTheory.Bicategory.mateEquiv adj adj)
      (CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.leftUnitor l).hom
        (CategoryTheory.Bicategory.rightUnitor l).inv) =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.rightUnitor r).hom
      (CategoryTheory.Bicategory.leftUnitor r).inv

Defined in

Mathlib.CategoryTheory.Bicategory.Adjunction.Mate

Cited by

2 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Bicategory