Theorems · Definition · category theory

CategoryTheory.Adjunction.comp

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        {E : Type u₃} →
          [inst_2 : CategoryTheory.Category.{v₃, u₃} E] →
            {F : CategoryTheory.Functor C D} →
              {G : CategoryTheory.Functor D C} →
                {H : CategoryTheory.Functor D E} →
                  {I : CategoryTheory.Functor E D} → (F ⊣ G) → (H ⊣ I) → (F.comp H ⊣ I.comp G)

Composition of adjunctions.

Defined in

Mathlib.CategoryTheory.Adjunction.Basic

Cited by

42 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category