Theorems · Definition · category theory

CategoryTheory.Bicategory.lanIsKan

{B : Type u} →
  [inst : CategoryTheory.Bicategory B] →
    {a b c : B} →
      (f : a ⟶ b) →
        (g : a ⟶ c) →
          [inst_1 : CategoryTheory.Bicategory.HasLeftKanExtension f g] →
            (CategoryTheory.Bicategory.lanLeftExtension f g).IsKan

Evidence that lanLeftExtension f g is a Kan extension.

Defined in

Mathlib.CategoryTheory.Bicategory.Kan.HasKan

Cited by

6 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.BicategoryCategoryTheory.Bicategory.HasLeftKanExtension