reserve w, w1, w2 for Element of ExtREAL;
reserve c, c1, c2 for Complex;
reserve A, B, C, D for complex-membered set;
reserve F, G, H, I for ext-real-membered set;
reserve a, b, s, t, z for Complex;
reserve f, g, h, i, j for ExtReal;
reserve r for Real;
reserve e for set;

theorem Th135:
  r++F c= r++G implies F c= G
proof
  assume
A1: r++F c= r++G;
  let i;
  assume i in F;
  then r+i in r++F by Th132;
  then ex w st r+i = r+w & w in G by A1,Th134;
  hence thesis by XXREAL_3:11;
end;
