reserve a, b, c, d, e for Complex;

theorem Th113: :: REAL_2'65
  b <> 0 implies a / b + c = (a + b * c) / b
proof
  assume
A1: b<>0;
  a/b+c =a/b+1*c .=a/b+b*b"*c by A1,XCMPLX_0:def 7
    .=a/b+b*c*b"
    .=a/b+c*b/b by XCMPLX_0:def 9
    .=(a+c*b)/b by Th62;
  hence thesis;
end;
