reserve X for TopSpace;
reserve X for non empty TopSpace;
reserve X1, X2, X3 for non empty SubSpace of X;
reserve X1, X2, X3 for non empty SubSpace of X;
reserve X for TopSpace;
reserve A1, A2 for Subset of X;
reserve A1,A2 for Subset of X;
reserve X for TopSpace,
  A1, A2 for Subset of X;
reserve X for non empty TopSpace,
  A1, A2 for Subset of X;
reserve X for non empty TopSpace;
reserve X1, X2 for non empty SubSpace of X;
reserve X1, X2 for non empty SubSpace of X;

theorem :: WAYBEL34:30, AK, 20.02.2006
  for T being TopStruct holds T|[#]T = the TopStruct of T
proof
  let T be TopStruct;
  the TopStruct of T is strict SubSpace of T & the carrier of T = [#]the
  TopStruct of T by Th2,PRE_TOPC:10;
  hence thesis by PRE_TOPC:def 5;
end;
