Theorems · Definition · category theory

CategoryTheory.Functor.rightKanExtensionCounit

{C : Type u_1} →
  {H : Type u_3} →
    {D : Type u_4} →
      [inst : CategoryTheory.Category.{v_1, u_1} C] →
        [inst_1 : CategoryTheory.Category.{v_3, u_3} H] →
          [inst_2 : CategoryTheory.Category.{v_4, u_4} D] →
            (L : CategoryTheory.Functor C D) →
              (F : CategoryTheory.Functor C H) →
                [inst_3 : L.HasRightKanExtension F] → L.comp (L.rightKanExtension F) ⟶ F

The counit of the chosen right Kan extension rightKanExtension L F.

Defined in

Mathlib.CategoryTheory.Functor.KanExtension.Basic

Cited by

11 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.HasRightKanExtension