Theorems · Theorem · order theory

toIocDiv_add_right

∀ {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), toIocDiv hp a (b + p) = toIocDiv hp a b + 1

Defined in

Mathlib.Algebra.Order.ToIntervalMod

Cited by

2 results in Mathlib

Foundations

Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupLinearOrderIsOrderedAddMonoidArchimedean