
theorem
  for f,x being set, p being FinSequence holds InputVertices
  1GateCircStr(p,f,x) = (rng p) \ {x} & InnerVertices 1GateCircStr(p,f,x) = {x}
proof
  let f,x be set;
  let p be FinSequence;
  the ResultSort of 1GateCircStr(p,f,x) = (p,f) .--> x by Th36;
  then
A1: rng the ResultSort of 1GateCircStr(p,f,x) = {x} by FUNCOP_1:8;
  the carrier of 1GateCircStr(p,f,x) = (rng p) \/ {x} by Def5;
  hence thesis by A1,XBOOLE_1:40;
end;
