Theorems · Theorem · category theory

CategoryTheory.Functor.commShiftOfLocalization.iso.congr_simp

∀ {C : Type u₁} {D : Type u₂} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {E : Type u₃} [inst_2 : CategoryTheory.Category.{v₃, u₃} E] (L : CategoryTheory.Functor C D)
  (W : CategoryTheory.MorphismProperty C) [inst_3 : L.IsLocalization W] {A : Type w} [inst_4 : AddMonoid A]
  [inst_5 : CategoryTheory.HasShift C A] (F : CategoryTheory.Functor C E) (F' : CategoryTheory.Functor D E)
  [inst_6 : CategoryTheory.Localization.Lifting L W F F'] [inst_7 : CategoryTheory.HasShift D A]
  [inst_8 : CategoryTheory.HasShift E A] [inst_9 : L.CommShift A] [inst_10 : F.CommShift A] (a : A),
  CategoryTheory.Functor.commShiftOfLocalization.iso L W F F' a =
    CategoryTheory.Functor.commShiftOfLocalization.iso L W F F' a

Defined in

Mathlib.CategoryTheory.Shift.Localization

Cited by

0 results in Mathlib

Foundations

Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.IsLocalizationAddMonoidCategoryTheory.HasShiftCategoryTheory.Localization.LiftingCategoryTheory.HasShiftCategoryTheory.HasShiftCategoryTheory.Functor.CommShiftCategoryTheory.Functor.CommShift