Theorems · Definition · category theory

CategoryTheory.Bicategory.LeftLift.IsKan.desc

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

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

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