Theorems · Theorem · order theory
Set.pairwise_disjoint_Ioc_zpow
∀ {α : Type u_1} [inst : CommGroup α] [inst_1 : PartialOrder α] [IsOrderedMonoid α] (b : α),
Pairwise (Function.onFun Disjoint fun n => Set.Ioc (b ^ n) (b ^ (n + 1)))- 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
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Cites10
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
- one_mulproof · cited by 2,841
- Disjointstatement and proof · cited by 2,201
- CommGroupstatement and proof · cited by 990
- Set.Iocstatement and proof · cited by 971
- IsOrderedMonoidstatement and proof · cited by 577
- Function.onFunstatement and proof · cited by 570
- Pairwisestatement and proof · cited by 516
- Set.pairwise_disjoint_Ioc_mul_zpowproof · cited by 2
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