
theorem NF290:
  for a being non empty FinSequence of REAL,
  f being FinSequence of NAT, s be set st
  s misses rng f holds
  SumBin (a, f, s) = 0
  proof
    let a be non empty FinSequence of REAL,
    f be FinSequence of NAT, s be set;
    assume L033: s misses rng f;
    reconsider emptyrealseq = <*> REAL as FinSequence of REAL;
    Seq (a, {}) = Seq (a | {})
    .= emptyrealseq;
    hence SumBin (a, f, s) = 0 by L033,RELAT_1:138,RVSUM_1:72;
  end;
