
theorem Th35:
  for c, d being Cantor-component Ordinal
  st omega -exponent d in omega -exponent c
  holds <% c, d %> is Cantor-normal-form
proof
  let c, d be Cantor-component Ordinal;
  assume omega -exponent d in omega -exponent c;
  then omega -exponent(<%d%>.0) in omega -exponent last({}^<%c%>)
    by AFINSQ_1:92;
  then <%c%>^<%d%> is Cantor-normal-form by Th33;
  hence thesis by AFINSQ_1:def 5;
end;
