Theorems · Theorem · category theory

CategoryTheory.Bicategory.conjugateEquiv_id_comp_right_apply

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

Defined in

Mathlib.CategoryTheory.Bicategory.Adjunction.Mate

Cited by

0 results in Mathlib

Foundations

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

Assumes

CategoryTheory.Bicategory