Theorems · Theorem · category theory

CategoryTheory.Functor.HasPointwiseLeftKanExtensionAt.of_natIso

∀ {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 L' : CategoryTheory.Functor C D} {F F' : CategoryTheory.Functor C H} (Y : D) [L.HasPointwiseLeftKanExtensionAt F Y]
  (e₁ : L ≅ L') (e₂ : F ≅ F'), L'.HasPointwiseLeftKanExtensionAt F' Y

Defined in

Mathlib.CategoryTheory.Functor.KanExtension.Pointwise

Cited by

2 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.HasPointwiseLeftKanExtensionAt