Theorems · Theorem · order theory

toIocDiv_add_zsmul

∀ {α : Type u_1} [inst : AddCommGroup α] [inst_1 : LinearOrder α] [inst_2 : IsOrderedAddMonoid α] [hα : Archimedean α]
  {p : α} (hp : 0 < p) (a b : α) (m : ℤ), toIocDiv hp a (b + m • p) = toIocDiv hp a b + m

Defined in

Mathlib.Algebra.Order.ToIntervalMod

Cited by

6 results in Mathlib

Foundations

Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupLinearOrderIsOrderedAddMonoidArchimedean