theorem LmTF1D:
  for V being finite-rank free Z_Module,
  I being linearly-independent Subset of V
  holds I is finite
  proof
    let V be finite-rank free Z_Module, I be linearly-independent Subset of V;
    set IV = the Basis of V;
    card(I) c= card(IV) by ZMODUL04:20;
    hence thesis;
  end;
