Theorems · Definition · category theory

CategoryTheory.Adjunction.rightAdjointUniq

{C : Type u_1} →
  {D : Type u_2} →
    [inst : CategoryTheory.Category.{v_1, u_1} C] →
      [inst_1 : CategoryTheory.Category.{v_2, u_2} D] →
        {F : CategoryTheory.Functor C D} → {G G' : CategoryTheory.Functor D C} → (F ⊣ G) → (F ⊣ G') → (G ≅ G')

If G and G' are both right adjoint to F, then they are naturally isomorphic.

Defined in

Mathlib.CategoryTheory.Adjunction.Unique

Cited by

18 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category