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
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RightCancelMonoid
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Cites3
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- orderOfstatement · cited by 324
- RightCancelMonoidstatement and proof · cited by 18
- RightCancelMonoid.pow_eq_pow_iff_modEqproof · cited by 3
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