Commute.pow_eq_pow_iff_of_coprime

∀ {α : Type u_1} [inst : GroupWithZero α] {a b : α} {m n : ℕ},
  Commute a b → m.Coprime n → (a ^ m = b ^ n ↔ ∃ c, a = c ^ n ∧ b = c ^ m)

Defined in: Mathlib.Data.Int.GCD
Cited by: 1 results in Mathlib
Foundations: Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: GroupWithZero

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