Theorems · Definition · category theory

CategoryTheory.Bicategory.Lan.CommuteWith.casesOn

{B : Type u} →
  [inst : CategoryTheory.Bicategory B] →
    {a b c : B} →
      {f : a ⟶ b} →
        {g : a ⟶ c} →
          [inst_1 : CategoryTheory.Bicategory.HasLeftKanExtension f g] →
            {x : B} →
              {h : c ⟶ x} →
                {motive : CategoryTheory.Bicategory.Lan.CommuteWith f g h → Sort u_1} →
                  (t : CategoryTheory.Bicategory.Lan.CommuteWith f g h) →
                    ((commute : Nonempty ((CategoryTheory.Bicategory.lanLeftExtension f g).whisker h).IsKan) →
                        motive ⋯) →
                      motive t

Defined in

Mathlib.CategoryTheory.Bicategory.Kan.HasKan

Cited by

0 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.BicategoryCategoryTheory.Bicategory.HasLeftKanExtension