
theorem
  for F being Field holds for a being Element of NonZero F holds ovf(F).
  (1.F,a) = revf(F).a
proof
  let F be Field;
  let a be Element of NonZero F;
  reconsider revfa = revf(F).a as Element of NonZero F;
  thus ovf(F).(1.F,a) = omf(F).(1.F,revf(F).a) by Def2
    .= 1.F*revfa
    .= revf(F).a by REALSET2:6;
end;
