Theorems · Theorem · category theory

CategoryTheory.Functor.leftKanExtensionUnique_hom

∀ {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') [inst_3 : F'.IsLeftKanExtension α] (F'' : CategoryTheory.Functor D H) (α' : F ⟶ L.comp F'')
  [inst_4 : F''.IsLeftKanExtension α'], (F'.leftKanExtensionUnique α F'' α').hom = F'.descOfIsLeftKanExtension α F'' α'

Defined in

Mathlib.CategoryTheory.Functor.KanExtension.Basic

Cited by

7 results in Mathlib

Foundations

Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.IsLeftKanExtensionCategoryTheory.Functor.IsLeftKanExtension