Theorems · Definition · category theory

CategoryTheory.Bicategory.LeftExtension.IsKan

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

A left Kan extension of g along f is an initial object in LeftExtension f g.

Defined in

Mathlib.CategoryTheory.Bicategory.Kan.IsKan

Cited by

9 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Bicategory