Theorems · Definition · category theory

CategoryTheory.Bicategory.RightLift.IsKan.ofIdComp

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

If t : RightLift f (𝟙 c ≫ g) is a Kan lift, then t.ofIdComp : RightLift f g is also a Kan lift.

Defined in

Mathlib.CategoryTheory.Bicategory.Kan.IsKan

Cited by

0 results in Mathlib

Foundations

Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Bicategory