theorem
  for V, W being add-associative right_zeroed right_complementable
  vector-distributive scalar-distributive scalar-associative scalar-unital
  non empty ModuleStr over INT.Ring, f being homogeneousSAF Form of V,W,
  w being Vector of W holds f.(0.V,w) = 0.INT.Ring
  proof
    let V, W be add-associative right_zeroed right_complementable
    vector-distributive scalar-distributive scalar-associative scalar-unital
    non empty ModuleStr over INT.Ring;
    let f be homogeneousSAF Form of V,W, v be Vector of W;
    (0.INT.Ring)*(0.V) = 0.V by VS10Th1;
    hence f.(0.V,v) = (0.INT.Ring) * f.(0.V,v) by BLTh31
    .= 0.INT.Ring;
  end;
