Theorems · Definition · category theory

CategoryTheory.Adjunction.mkOfHomEquiv

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        {F : CategoryTheory.Functor C D} →
          {G : CategoryTheory.Functor D C} → CategoryTheory.Adjunction.CoreHomEquiv F G → (F ⊣ G)

Construct an adjunction between F and G out of a natural bijection between each F.obj X ⟶ Y and X ⟶ G.obj Y.

Defined in

Mathlib.CategoryTheory.Adjunction.Basic

Cited by

4 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category