Theorems · Definition · category theory

CategoryTheory.Adjunction.rightOp

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

If F.rightOp is adjoint to G then G.rightOp is adjoint to F.

Defined in

Mathlib.CategoryTheory.Adjunction.Opposites

Cited by

3 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Category