theorem
  for S being satisfying_CongruenceIdentity
              satisfying_SegmentConstruction
              satisfying_BetweennessIdentity
              satisfying_Pasch
              TarskiGeometryStruct
  for a,b,c,d being POINT of S st between4 a,b,c,d holds
  between a,b,c & between a,b,d & between a,c,d & between b,c,d;
