Theorems · Definition · category theory

CategoryTheory.Bicategory.lanDesc

{B : Type u} →
  [inst : CategoryTheory.Bicategory B] →
    {a b c : B} →
      {f : a ⟶ b} →
        {g : a ⟶ c} →
          [inst_1 : CategoryTheory.Bicategory.HasLeftKanExtension f g] →
            (s : CategoryTheory.Bicategory.LeftExtension f g) → CategoryTheory.Bicategory.lan f g ⟶ s.extension

The family of 2-morphisms out of the left Kan extension f⁺ g.

Defined in

Mathlib.CategoryTheory.Bicategory.Kan.HasKan

Cited by

5 results in Mathlib

Foundations

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

Assumes

CategoryTheory.BicategoryCategoryTheory.Bicategory.HasLeftKanExtension