Prime.dvd_finsetProd_iff

∀ {M₀ : Type u_3} {M : Type u_4} [inst : CommMonoidWithZero M] {S : Finset M₀} {p : M},
  Prime p → ∀ (g : M₀ → M), p ∣ S.prod g ↔ ∃ a ∈ S, p ∣ g a

Defined in: Mathlib.Algebra.BigOperators.Associated
Cited by: 7 results in Mathlib
Foundations: Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommMonoidWithZero

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