reserve A,B,O for Ordinal,
        o for object,
        x,y,z for Surreal,
        n,m for Nat;

theorem
  for i,j be Integer st uInt.i = uInt.j holds i=j
proof
  let i,j be Integer;
  assume uInt.i = uInt.j;
  then i <= j <=i by Lm4,SURREALO:3;
  hence thesis by XXREAL_0:1;
end;
