rcases h with ⟨s, h_S, h_s⟩
R : Type u_2
ι : Type u_1
inst✝ : CommSemiring R
S : Finset (ι →₀ ℕ)
f : (ι →₀ ℕ) → R
h : ∃ s, ∃ (_ : s ∈ S), f s ≠ 0
⊢ ¬filter (fun v => ¬f v = 0) S = ∅
case intro.intro
R : Type u_2
ι : Type u_1
inst✝ : CommSemiring R
S : Finset (ι →₀ ℕ)
f : (ι →₀ ℕ) → R
s : ι →₀ ℕ
h_S : s ∈ S
h_s : f s ≠ 0
⊢ ¬filter (fun v => ¬f v = 0) S = ∅