reserve SAS for Semi_Affine_Space;
reserve a,a9,a1,a2,a3,a4,b,b9,c,c9,d,d9,d1,d2,o,p,p1,p2,q,r,r1,r2,s,x, y,t,z
  for Element of SAS;

theorem
  opposite(o,o)=o
proof
  sum(o,opposite(o,o),o)=o by Def6;
  then sum(opposite(o,o),o,o)=o by Th78;
  hence thesis by Th75;
end;
