Theorems · Theorem · category theory

CategoryTheory.Functor.isPointwiseLeftKanExtensionOfIsLeftKanExtension.congr_simp

∀ {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} [inst_3 : L.HasPointwiseLeftKanExtension F]
  (F' : CategoryTheory.Functor D H) (α : F ⟶ L.comp F') [inst_4 : F'.IsLeftKanExtension α] (Y : D),
  CategoryTheory.Functor.isPointwiseLeftKanExtensionOfIsLeftKanExtension F' α Y =
    CategoryTheory.Functor.isPointwiseLeftKanExtensionOfIsLeftKanExtension F' α Y

Defined in

Mathlib.CategoryTheory.Limits.Presheaf

Cited by

0 results in Mathlib

Foundations

Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.HasPointwiseLeftKanExtensionCategoryTheory.Functor.IsLeftKanExtension