Theorems · Theorem · group theory
isOfFinOrder_pow
∀ {G : Type u_1} [inst : Monoid G] {a : G} {n : ℕ}, IsOfFinOrder (a ^ n) ↔ IsOfFinOrder a ∨ n = 0- Defined in
- Mathlib.GroupTheory.OrderOfElement
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
- Assumes
- Monoid
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- pow_zeroproof · cited by 1,094
- IsOfFinOrderstatement and proof · cited by 113
- Decidable.eq_or_neproof · cited by 28
- IsOfFinOrder.powproof · cited by 2
- IsOfFinOrder.of_powproof · cited by 1
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