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Theorems · Theorem · group theory

pow_inj_mod

∀ {G : Type u_1} [inst : LeftCancelMonoid G] {x : G} {n m : ℕ}, x ^ n = x ^ m ↔ n % orderOf x = m % orderOf x
Defined in
Mathlib.GroupTheory.OrderOfElement
Cited by
1 results in Mathlib
Foundations
Depth 47 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
LeftCancelMonoid

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