Theorems · Theorem · category theory

CategoryTheory.Functor.RightExtension.IsPointwiseRightKanExtensionAt.isIso_hom_app

∀ {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.RightExtension F) {X : C}
  (h : E.IsPointwiseRightKanExtensionAt (L.obj X)) [L.Full] [L.Faithful],
  CategoryTheory.IsIso ((CategoryTheory.CostructuredArrow.hom E).app X)

Defined in

Mathlib.CategoryTheory.Functor.KanExtension.Pointwise

Cited by

1 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.FullCategoryTheory.Functor.Faithful