Theorems · Theorem · category theory

CategoryTheory.MorphismProperty.IsCompatibleWithShift.iff

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] (W : CategoryTheory.MorphismProperty C) {A : Type w}
  [inst_1 : AddMonoid A] [inst_2 : CategoryTheory.HasShift C A] [W.IsCompatibleWithShift A] {X Y : C} (f : X ⟶ Y)
  (a : A), W ((CategoryTheory.shiftFunctor C a).map f) ↔ W f

Defined in

Mathlib.CategoryTheory.Shift.Localization

Cited by

1 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryAddMonoidCategoryTheory.HasShiftCategoryTheory.MorphismProperty.IsCompatibleWithShift