Theorems · Theorem · category theory

CategoryTheory.Bicategory.Lan.CommuteWith.of_isKan_whisker

∀ {B : Type u} [inst : CategoryTheory.Bicategory B] {a b c : B} {f : a ⟶ b} {g : a ⟶ c}
  [inst_1 : CategoryTheory.Bicategory.HasLeftKanExtension f g] (t : CategoryTheory.Bicategory.LeftExtension f g) {x : B}
  (h : c ⟶ x) (H : (t.whisker h).IsKan) (i : t.whisker h ≅ (CategoryTheory.Bicategory.lanLeftExtension f g).whisker h),
  CategoryTheory.Bicategory.Lan.CommuteWith f g h

Defined in

Mathlib.CategoryTheory.Bicategory.Kan.HasKan

Cited by

0 results in Mathlib

Foundations

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

Assumes

CategoryTheory.BicategoryCategoryTheory.Bicategory.HasLeftKanExtension