reserve AFV for WeakAffVect;
reserve a,b,c,d,e,f,a9,b9,c9,d9,f9,p,q,r,o,x99 for Element of AFV;
reserve a,b,c for Element of GroupVect(AFV,o);
reserve a,b for Element of GroupVect(AFV,o);
reserve AFV for AffVect,
  o for Element of AFV;

theorem Th49:
  for ADG being Proper_Uniquely_Two_Divisible_Group holds AV(ADG) is AffVect
proof
  let ADG be Proper_Uniquely_Two_Divisible_Group;
  ex a,b being Element of ADG st a<>b by STRUCT_0:def 10;
  hence thesis by TDGROUP:17;
end;
