
theorem Th43:
  for f being set, p,q being FinSequence holds 1GateCircStr(p,f)
  tolerates 1GateCircStr(q,f)
proof
  let f be set, p,q be FinSequence;
  set S1 = 1GateCircStr(p,f), S2 = 1GateCircStr(q,f);
A1: [p,f] <> [q,f] implies {[p,f]} misses {[q,f]} by ZFMISC_1:11;
A2: the Arity of S2 = (q,f) .--> q by Th40;
  the Arity of S1 = (p,f) .--> p by Th40;
  hence the Arity of S1 tolerates the Arity of S2
   by A2,A1,XTUPLE_0:1;
A3: the ResultSort of S2 = (q,f) .--> [q,f] by Th40;
  the ResultSort of S1 = (p,f) .--> [p,f] by Th40;
  hence thesis by A3,A1;
end;
