Theorems · Theorem · order theory
Set.pairwise_disjoint_Ioo_mul_zpow
∀ {α : Type u_1} [inst : CommGroup α] [inst_1 : PartialOrder α] [IsOrderedMonoid α] (a b : α),
Pairwise (Function.onFun Disjoint fun n => Set.Ioo (a * b ^ n) (a * b ^ (n + 1)))- Defined in
- Mathlib.Algebra.Order.Interval.Set.Group
- Cited by
- 1 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- PartialOrderstatement and proof · cited by 6,410
- Disjointstatement · cited by 2,201
- Set.Ioostatement · cited by 1,214
- CommGroupstatement and proof · cited by 990
- IsOrderedMonoidstatement and proof · cited by 577
- Function.onFunstatement · cited by 570
- Pairwisestatement · cited by 516
- Disjoint.monoproof · cited by 69
- Set.Ioo_subset_Ioc_selfproof · cited by 30
- Set.pairwise_disjoint_Ioc_mul_zpowproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Set.pairwise_disjoint_Ioo_zpowproof · cited by 0