Theorems · Theorem · category theory

CategoryTheory.Functor.IsLeftKanExtension.nonempty_isUniversal

∀ {C : Type u_1} {H : Type u_3} {D : Type u_4} {inst : CategoryTheory.Category.{v_1, u_1} C}
  {inst_1 : CategoryTheory.Category.{v_3, u_3} H} {inst_2 : CategoryTheory.Category.{v_4, u_4} D}
  {F' : CategoryTheory.Functor D H} {L : CategoryTheory.Functor C D} {F : CategoryTheory.Functor C H}
  {α : F ⟶ L.comp F'} [self : F'.IsLeftKanExtension α],
  Nonempty (CategoryTheory.StructuredArrow.IsUniversal (CategoryTheory.Functor.LeftExtension.mk F' α))

Defined in

Mathlib.CategoryTheory.Functor.KanExtension.Basic

Cited by

1 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Functor.IsLeftKanExtension