Theorems · Theorem · commutative algebra
Prime.dvd_pow_iff_dvd
∀ {M : Type u_1} [inst : CommMonoidWithZero M] {p : M}, Prime p → ∀ {a : M} {n : ℕ}, n ≠ 0 → (p ∣ a ^ n ↔ p ∣ a)- Defined in
- Mathlib.Algebra.Prime.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext
- Assumes
- CommMonoidWithZero
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- CommMonoidWithZerostatement and proof · cited by 913
- Primestatement and proof · cited by 277
- Prime.dvd_of_dvd_powproof · cited by 14
- dvd_powproof · cited by 8
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