
theorem Th15:
  for S being one-gate ManySortedSign, p being FinSequence, x
  being set st S = 1GateCircStr(p,x) holds Output S = [p,x]
proof
  let S be one-gate ManySortedSign, p be FinSequence, x be set;
  assume S = 1GateCircStr(p,x);
  hence Output S = union {[p,x]} by CIRCCOMB:def 6
    .= [p,x] by ZFMISC_1:25;
end;
