reserve X for set;
reserve UN for Universe;

theorem Th45:
  for G being Grothendieck of X holds FinSETS c= G
  proof
    let G be Grothendieck of X;
    FinSETS c= Tarski-Class X & Tarski-Class X c= G by Th44,CLASSES3:18;
    hence thesis;
  end;
