Theorems · Definition · category theory

CategoryTheory.Bicategory.LeftExtension.IsKan.desc

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

The family of 2-morphisms out of a left Kan extension.

Defined in

Mathlib.CategoryTheory.Bicategory.Kan.IsKan

Cited by

7 results in Mathlib

Foundations

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

Assumes

CategoryTheory.Bicategory