infinite_powers

∀ {G : Type u_1} [inst : LeftCancelMonoid G] {a : G}, (↑(Submonoid.powers a)).Infinite ↔ ¬IsOfFinOrder a

Defined in: Mathlib.GroupTheory.OrderOfElement
Cited by: 1 results in Mathlib
Foundations: Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: LeftCancelMonoid

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