Theorems · Theorem · order theory
Set.pairwise_disjoint_Ico_zsmul
∀ {α : Type u_1} [inst : AddCommGroup α] [inst_1 : PartialOrder α] [IsOrderedAddMonoid α] (b : α),
Pairwise (Function.onFun Disjoint fun n => Set.Ico (n • b) ((n + 1) • b))- Defined in
- Mathlib.Algebra.Order.Interval.Set.Group
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- AddCommGroupstatement and proof · cited by 12,871
- PartialOrderstatement and proof · cited by 6,410
- zero_addproof · cited by 2,366
- Disjointstatement and proof · cited by 2,201
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- Set.Icostatement and proof · cited by 799
- Function.onFunstatement and proof · cited by 570
- Pairwisestatement and proof · cited by 516
- Set.pairwise_disjoint_Ico_add_zsmulproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.