Theorems · Definition · category theory

CategoryTheory.Functor.LeftExtension.IsPointwiseLeftKanExtension.isUniversal

{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} →
                {E : L.LeftExtension F} → E.IsPointwiseLeftKanExtension → CategoryTheory.StructuredArrow.IsUniversal E

A pointwise left Kan extension is universal, i.e. it is a left Kan extension.

Defined in

Mathlib.CategoryTheory.Functor.KanExtension.Pointwise

Cited by

1 results in Mathlib

Foundations

Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category