Theorems · Theorem · category theory

CategoryTheory.Functor.limitIsoOfIsRightKanExtension.congr_simp

∀ {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 α_1 : L.comp F' ⟶ F) (e_α : α = α_1) [inst_3 : F'.IsRightKanExtension α]
  [inst_4 : CategoryTheory.Limits.HasLimit F] [inst_5 : CategoryTheory.Limits.HasLimit F'],
  F'.limitIsoOfIsRightKanExtension α = F'.limitIsoOfIsRightKanExtension α_1

Defined in

Mathlib.CategoryTheory.Functor.KanExtension.Basic

Cited by

0 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.IsRightKanExtensionCategoryTheory.Limits.HasLimitCategoryTheory.Limits.HasLimit