Multiset.prod_induction_nonempty

∀ {M : Type u_3} [inst : CommMonoid M] {s : Multiset M} (p : M → Prop),
  (∀ (a b : M), p a → p b → p (a * b)) → s ≠ ∅ → (∀ a ∈ s, p a) → p s.prod

Defined in: Mathlib.Algebra.BigOperators.Group.Multiset.Defs
Cited by: 2 results in Mathlib
Foundations: Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommMonoid

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