Theorems · Theorem · order theory
Set.pairwise_disjoint_Ioc_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.Ioc (a * b ^ n) (a * b ^ (n + 1)))- Defined in
- Mathlib.Algebra.Order.Interval.Set.Group
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- mul_oneproof · cited by 3,885
- Disjointstatement · cited by 2,201
- le_antisymmproof · cited by 2,068
- CommGroupstatement and proof · cited by 990
- Set.Iocstatement and proof · cited by 971
- LT.lt.trans_leproof · cited by 678
- IsOrderedMonoidstatement and proof · cited by 577
- Function.onFunstatement · cited by 570
- Pairwisestatement and proof · cited by 516
- zpow_add_oneproof · cited by 18
Cited by2
Results whose statement or proof uses this declaration.
- Set.pairwise_disjoint_Ioo_mul_zpowproof · cited by 1
- Set.pairwise_disjoint_Ioc_zpowproof · cited by 0