Theorems · Theorem · number theory
Prime.not_dvd_prod
∀ {M : Type u_1} [inst : CommMonoidWithZero M] {p : M} {L : List M}, Prime p → (∀ a ∈ L, ¬p ∣ a) → ¬p ∣ L.prod- Defined in
- Mathlib.Data.List.Prime
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 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_prod_iffproof · cited by 2
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