Theorems · Theorem · group theory
IsReduced.pow_ne_zero
Deprecated since 2026-01-08Use pow_ne_zero instead.
∀ {M₀ : Type u_1} [inst : MonoidWithZero M₀] {a : M₀} [IsReduced M₀] (n : ℕ), a ≠ 0 → a ^ n ≠ 0Alias of pow_ne_zero.
- Defined in
- Mathlib.Algebra.GroupWithZero.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- MonoidWithZeroIsReduced
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Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MonoidWithZerostatement · cited by 456
- pow_ne_zeroproof · cited by 208
- IsReducedstatement · cited by 98
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