reserve a for Real;
reserve p,q for Point of TOP-REAL 2;

theorem Th35:
  for sn being Real,x,K0 being set st -1<sn & sn<1 & x in K0 & K0=
  {p: p`1>=0 & p<>0.TOP-REAL 2} holds (sn-FanMorphW).x in K0
proof
  let sn be Real,x,K0 be set;
  assume
A1: -1<sn & sn<1 & x in K0 & K0={p: p`1>=0 & p<>0.TOP-REAL 2};
  then ex p st p=x & p`1>=0 & p<>0.TOP-REAL 2;
  hence thesis by A1,Th16;
end;
