Theorems · Theorem · group theory
powers_eq_zpowers
∀ {G : Type u_1} [inst : Group G] [Finite G] (x : G), ↑(Submonoid.powers x) = ↑(Subgroup.zpowers x)- Defined in
- Mathlib.GroupTheory.OrderOfElement
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 69 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
- SetLike.coestatement · cited by 8,199
- Groupstatement and proof · cited by 6,238
- Subgroupstatement · cited by 3,593
- Submonoidstatement · cited by 3,086
- Finitestatement and proof · cited by 3,029
- Submonoid.powersstatement · cited by 408
- Subgroup.zpowersstatement · cited by 204
- isOfFinOrder_of_finiteproof · cited by 14
- IsOfFinOrder.powers_eq_zpowersproof · cited by 2
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