Theorems · Definition · category theory

CategoryTheory.Bicategory.LeftExtension.IsKan.ofCompId

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

If t : LeftExtension f (g ≫ 𝟙 c) is a Kan extension, then t.ofCompId : LeftExtension f g is also a Kan extension.

Defined in

Mathlib.CategoryTheory.Bicategory.Kan.IsKan

Cited by

0 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Bicategory