Theorems · Theorem · group theory
IsReduced.pow_eq_zero_iff
Deprecated since 2026-01-08Use pow_eq_zero_iff instead.
∀ {M₀ : Type u_1} [inst : MonoidWithZero M₀] {a : M₀} {n : ℕ} [IsReduced M₀], n ≠ 0 → (a ^ n = 0 ↔ a = 0)Alias of pow_eq_zero_iff.
- Defined in
- Mathlib.Algebra.GroupWithZero.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
- Assumes
- MonoidWithZeroIsReduced
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- MonoidWithZerostatement · cited by 456
- IsReducedstatement · cited by 98
- pow_eq_zero_iffproof · cited by 16
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