Theorems · Definition · category theory

CategoryTheory.Adjunction.ofNatIsoLeft

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

Transport an adjunction along a natural isomorphism on the left.

Defined in

Mathlib.CategoryTheory.Adjunction.Basic

Cited by

10 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category