Theorems · Theorem · order theory

toIcoMod_eq_toIcoMod

∀ {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 c : α}, toIcoMod hp a b = toIcoMod hp a c ↔ ∃ n, c - b = n • p

Defined in

Mathlib.Algebra.Order.ToIntervalMod

Cited by

3 results in Mathlib

Foundations

Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupLinearOrderIsOrderedAddMonoidArchimedean