Theorems · Theorem · category theory

CategoryTheory.conjugateEquiv_id

∀ {C : Type u₁} {D : Type u₂} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {L₁ : CategoryTheory.Functor C D} {R₁ : CategoryTheory.Functor D C} (adj₁ : L₁ ⊣ R₁),
  (CategoryTheory.conjugateEquiv adj₁ adj₁) (CategoryTheory.CategoryStruct.id L₁) = CategoryTheory.CategoryStruct.id R₁

Defined in

Mathlib.CategoryTheory.Adjunction.Mates

Cited by

4 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category