 reserve K,F,E for Field,
         R,S for Ring;

theorem Th6:
   for S being RingExtension of R holds
   the carrier of Polynom-Ring R c= the carrier of Polynom-Ring S
   proof
     let S be RingExtension of R;
     now let o be object;
       assume o in the carrier of Polynom-Ring R; then
       o is Polynomial of R by POLYNOM3:def 10; then
       o is Polynomial of S by Th5;
       hence o in the carrier of Polynom-Ring S by POLYNOM3:def 10;
    end;
    hence thesis;
  end;
