Theorems · Definition · category theory

CategoryTheory.Functor.pointwiseLeftKanExtension

{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] →
            (L : CategoryTheory.Functor C D) →
              (F : CategoryTheory.Functor C H) → [L.HasPointwiseLeftKanExtension F] → CategoryTheory.Functor D H

The constructed pointwise left Kan extension when HasPointwiseLeftKanExtension L F holds.

Defined in

Mathlib.CategoryTheory.Functor.KanExtension.Pointwise

Cited by

19 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.HasPointwiseLeftKanExtension