Theorems · Theorem · category theory

CategoryTheory.Bicategory.Equivalence.left_triangle

∀ {B : Type u₁} [inst : CategoryTheory.Bicategory B] {a b : B} (self : CategoryTheory.Bicategory.Equivalence a b),
  CategoryTheory.Bicategory.leftZigzagIso self.unit self.counit =
    CategoryTheory.Bicategory.leftUnitor self.hom ≪≫ (CategoryTheory.Bicategory.rightUnitor self.hom).symm

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

1 results in Mathlib

Foundations

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

Assumes

CategoryTheory.Bicategory