nonempty_of_finsum_mem_ne_zero

∀ {α : Type u_1} {M : Type u_5} [inst : AddCommMonoid M] {f : α → M} {s : Set α},
  ∑ᶠ (i : α) (_ : i ∈ s), f i ≠ 0 → s.Nonempty

A set s is nonempty if the sum of some function over s is not equal to 0.

Defined in: Mathlib.Algebra.BigOperators.Finprod
Cited by: 0 results in Mathlib
Foundations: Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: AddCommMonoid

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