theorem
  r*<*r1*> = <*r*r1*>
proof
  reconsider s=r, s1=r1 as Element of REAL by XREAL_0:def 1;
  s*<*s1*> = <*(multreal[;](s,id REAL)).s1*> by FINSEQ_2:35
    .= <*r*r1*> by Lm1;
  hence thesis;
end;
