Theorems · Theorem · category theory

CategoryTheory.Bicategory.Adjunction.left_triangle

∀ {B : Type u₁} [inst : CategoryTheory.Bicategory B] {a b : B} {f : a ⟶ b} {g : b ⟶ a}
  (self : CategoryTheory.Bicategory.Adjunction f g),
  CategoryTheory.Bicategory.leftZigzag self.unit self.counit =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.leftUnitor f).hom
      (CategoryTheory.Bicategory.rightUnitor f).inv

The composition of the unit and the counit is equal to the identity up to unitors.

Defined in

Mathlib.CategoryTheory.Bicategory.Adjunction.Basic

Cited by

2 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Bicategory