
theorem Th41:
  for f being set, p being FinSequence for g being Gate of
1GateCircStr(p,f) holds g = [p,f] & the_arity_of g = p & the_result_sort_of g =
  g
proof
  let f be set, p be FinSequence;
  set S = 1GateCircStr(p,f);
  let o be Gate of 1GateCircStr(p,f);
  the carrier' of S = {[p,f]} by Def6;
  hence o = [p,f] by TARSKI:def 1;
  hence thesis by Def6;
end;
