theorem Th22:
  c1*(i|->c2) = i|->(c1*c2)
proof
  reconsider s1=c1, s2=c2 as  Element of COMPLEX by XCMPLX_0:def 2;
  s1*(i|->s2) = i|->((multcomplex[;](s1,id COMPLEX)).s2) by FINSEQOP:16
             .= i|->(c1*c2) by Lm1;
  hence thesis;
end;
