Theorems · Theorem · category theory

CategoryTheory.Bicategory.conjugateEquiv_whiskerLeft

∀ {B : Type u} [inst : CategoryTheory.Bicategory B] {a b c : B} {l₁ : a ⟶ b} {r₁ : b ⟶ a}
  (adj₁ : CategoryTheory.Bicategory.Adjunction l₁ r₁) {l₂ : b ⟶ c} {r₂ : c ⟶ b}
  (adj₂ : CategoryTheory.Bicategory.Adjunction l₂ r₂) {l₂' : b ⟶ c} {r₂' : c ⟶ b}
  (adj₂' : CategoryTheory.Bicategory.Adjunction l₂' r₂') (φ : l₂' ⟶ l₂),
  (CategoryTheory.Bicategory.conjugateEquiv (adj₁.comp adj₂) (adj₁.comp adj₂'))
      (CategoryTheory.Bicategory.whiskerLeft l₁ φ) =
    CategoryTheory.Bicategory.whiskerRight ((CategoryTheory.Bicategory.conjugateEquiv adj₂ adj₂') φ) r₁

Defined in

Mathlib.CategoryTheory.Bicategory.Adjunction.Mate

Cited by

0 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Bicategory