Theorems · Theorem · category theory

CategoryTheory.Functor.LeftExtension.IsPointwiseLeftKanExtension.isLeftKanExtension

∀ {C : Type u_1} {D : Type u_2} {H : Type u_4} [inst : CategoryTheory.Category.{v_1, u_1} C]
  [inst_1 : CategoryTheory.Category.{v_2, u_2} D] [inst_2 : CategoryTheory.Category.{v_4, u_4} H]
  {L : CategoryTheory.Functor C D} {F : CategoryTheory.Functor C H} {E : L.LeftExtension F}
  (h : E.IsPointwiseLeftKanExtension),
  (CategoryTheory.StructuredArrow.right E).IsLeftKanExtension (CategoryTheory.StructuredArrow.hom E)

Defined in

Mathlib.CategoryTheory.Functor.KanExtension.Pointwise

Cited by

5 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category