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

theorem Th130:
  for cn being Real,x,K0 being set st -1<cn & cn<1 & x in K0 & K0
  ={p: p`2>=0 & p<>0.TOP-REAL 2} holds (cn-FanMorphS).x in K0
proof
  let cn be Real,x,K0 be set;
  assume
A1: -1<cn & cn<1 & x in K0 & K0={p: p`2>=0 & p<>0.TOP-REAL 2};
  then ex p st p=x & p`2>=0 & p<>0.TOP-REAL 2;
  hence thesis by A1,Th113;
end;
