Theorems · Theorem · ring theory
IsMulTorsionFree.pow_right_inj
∀ {M : Type u_2} [inst : CancelMonoid M] [IsMulTorsionFree M] {x : M}, x ≠ 1 → ∀ {n m : ℕ}, x ^ n = x ^ m ↔ n = m- Defined in
- Mathlib.Algebra.Ring.NonZeroDivisors
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CancelMonoidIsMulTorsionFree
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- IsMulTorsionFreestatement and proof · cited by 44
- CancelMonoidstatement and proof · cited by 20
- IsMulTorsionFree.pow_right_injectiveproof · cited by 1
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