
theorem Th16:
  for V being RealLinearSpace, OAS being OAffinSpace st OAS =
  OASpace(V) holds Lambda(OAS) is Moufangian
proof
  let V be RealLinearSpace, OAS be OAffinSpace;
  assume OAS = OASpace(V);
  then (Lambda(OAS)) is Desarguesian by Th9,Th11;
  hence thesis by Th15;
end;
