Theorems · Theorem · order theory

Set.pairwise_disjoint_Ioc_add_intCast

∀ {α : Type u_1} [inst : Ring α] [inst_1 : PartialOrder α] [IsOrderedRing α] (a : α),
  Pairwise (Function.onFun Disjoint fun n => Set.Ioc (a + ↑n) (a + ↑n + 1))

Defined in

Mathlib.Algebra.Order.Interval.Set.Group

Cited by

2 results in Mathlib

Foundations

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

Assumes

RingPartialOrderIsOrderedRing