Theorems · Theorem · order theory

toIocMod_add_toIocDiv_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), toIocMod hp a b + toIocDiv hp a b • p = b

Defined in

Mathlib.Algebra.Order.ToIntervalMod

Cited by

5 results in Mathlib

Foundations

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

Assumes

AddCommGroupLinearOrderIsOrderedAddMonoidArchimedean