
theorem Th1:
  for OAS being OAffinSpace, x being set holds (x is Element of OAS
  iff x is Element of Lambda(OAS)) & (x is Subset of OAS iff x is Subset of
  Lambda(OAS))
proof
  let OAS be OAffinSpace;
  Lambda(OAS) = AffinStruct (#the carrier of OAS, lambda(the CONGR of OAS)
  #) by DIRAF:def 2;
  hence thesis;
end;
