Theorems · Definition · category theory

CategoryTheory.Bicategory.lanLeftExtension

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

The left Kan extension of g along f at the level of structured arrows.

Defined in

Mathlib.CategoryTheory.Bicategory.Kan.HasKan

Cited by

10 results in Mathlib

Foundations

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

Assumes

CategoryTheory.BicategoryCategoryTheory.Bicategory.HasLeftKanExtension