
theorem Th14:
  for T being non empty TopStruct, A being Subset of T holds Cl_Seq(A) c= Cl(A)
proof
  let T be non empty TopStruct, A be Subset of T;
  let x be object;
  assume
A1: x in Cl_Seq(A);
  then reconsider x9=x as Point of T;
  ex S being sequence of T st rng S c= A & x9 in Lim S by A1,Def1;
  hence thesis by Th13;
end;
