Theorems · Theorem · category theory

HomRel.IsCompatibleWithShift.condition

∀ {C : Type u} {inst : CategoryTheory.Category.{v, u} C} {r : HomRel C} {A : Type w} {inst_1 : AddMonoid A}
  {inst_2 : CategoryTheory.HasShift C A} [self : r.IsCompatibleWithShift A] (a : A) ⦃X Y : C⦄ (f g : X ⟶ Y),
  r f g → r ((CategoryTheory.shiftFunctor C a).map f) ((CategoryTheory.shiftFunctor C a).map g)

the condition that the relation is preserved by the shift

Defined in

Mathlib.CategoryTheory.Shift.Quotient

Cited by

0 results in Mathlib

Foundations

Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

HomRel.IsCompatibleWithShift