Theorems · Theorem · category theory

CategoryTheory.Bicategory.LeftExtension.IsKan.fac_assoc

∀ {B : Type u} [inst : CategoryTheory.Bicategory B] {a b c : B} {f : a ⟶ b} {g : a ⟶ c}
  {t : CategoryTheory.Bicategory.LeftExtension f g} (H : t.IsKan) (s : CategoryTheory.Bicategory.LeftExtension f g)
  {Z : a ⟶ c} (h : CategoryTheory.CategoryStruct.comp f s.extension ⟶ Z),
  CategoryTheory.CategoryStruct.comp t.unit
      (CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.whiskerLeft f (H.desc s)) h) =
    CategoryTheory.CategoryStruct.comp s.unit h

Defined in

Mathlib.CategoryTheory.Bicategory.Kan.IsKan

Cited by

0 results in Mathlib

Foundations

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

Assumes

CategoryTheory.Bicategory