Theorems · Definition · category theory

CategoryTheory.Functor.leftKanExtension

{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) → [L.HasLeftKanExtension F] → CategoryTheory.Functor D H

A chosen left Kan extension when [HasLeftKanExtension L F] holds.

Defined in

Mathlib.CategoryTheory.Functor.KanExtension.Basic

Cited by

29 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.HasLeftKanExtension