
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 homogeneousFAF FrForm of V,W,
  v being Vector of V holds f.(v,0.W) = 0.F_Real
  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 homogeneousFAF FrForm of V,W, v be Vector of V;
    thus f.(v,0.W) = f.(v,(0.INT.Ring)*(0.W)) by VECTSP10:1
    .= 0.INT.Ring * f.(v,0.W) by HTh32
    .= 0.F_Real;
  end;
