Theorems · Theorem · category theory

CategoryTheory.Functor.isRightKanExtension_iff_of_iso

∀ {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' F'' : CategoryTheory.Functor D H} (e : F' ≅ F'') {L : CategoryTheory.Functor C D} {F : CategoryTheory.Functor C H}
  (α : L.comp F' ⟶ F) (α' : L.comp F'' ⟶ F),
  CategoryTheory.CategoryStruct.comp (L.whiskerLeft e.hom) α' = α →
    (F'.IsRightKanExtension α ↔ F''.IsRightKanExtension α')

Defined in

Mathlib.CategoryTheory.Functor.KanExtension.Basic

Cited by

2 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category