Theorems · Definition · category theory

CategoryTheory.Functor.HasPointwiseRightKanExtension

{C : Type u_1} →
  {D : Type u_2} →
    {H : Type u_4} →
      [inst : CategoryTheory.Category.{v_1, u_1} C] →
        [inst_1 : CategoryTheory.Category.{v_2, u_2} D] →
          [inst_2 : CategoryTheory.Category.{v_4, u_4} H] →
            CategoryTheory.Functor C D → CategoryTheory.Functor C H → Prop

The condition that a functor F has a pointwise right Kan extension along L: it means that it has a pointwise right Kan extension at any object.

Defined in

Mathlib.CategoryTheory.Functor.KanExtension.Pointwise

Cited by

34 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category