Theorems · Theorem · category theory

CategoryTheory.Bicategory.conjugateEquiv_id

∀ {B : Type u} [inst : CategoryTheory.Bicategory B] {c d : B} {l₁ : c ⟶ d} {r₁ : d ⟶ c}
  (adj₁ : CategoryTheory.Bicategory.Adjunction l₁ r₁),
  (CategoryTheory.Bicategory.conjugateEquiv adj₁ adj₁) (CategoryTheory.CategoryStruct.id l₁) =
    CategoryTheory.CategoryStruct.id r₁

Defined in

Mathlib.CategoryTheory.Bicategory.Adjunction.Mate

Cited by

3 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Bicategory