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Theorems · Definition · group theory

IsOfFinOrder

{G : Type u_1} → [Monoid G] → G → Prop

IsOfFinOrder is a predicate on an element x of a monoid to be of finite order, i.e. there exists n ≥ 1 such that x ^ n = 1.

Defined in
Mathlib.GroupTheory.OrderOfElement
Cited by
113 results in Mathlib
Foundations
Depth 9 from the axioms, rests on 52 definitions · uses no axioms
Assumes
Monoid

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