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Theorems · Theorem · group theory

RightCancelMonoid.pow_inj_mod

∀ {G : Type u_1} [inst : RightCancelMonoid G] {x : G} {n m : ℕ}, x ^ n = x ^ m ↔ n % orderOf x = m % orderOf x
Defined in
Mathlib.GroupTheory.OrderOfElement
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Foundations
Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
RightCancelMonoid

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