reserve E for RealLinearSpace;
reserve A, B, C for binary-image of E;
reserve a, b, v for Element of E;
reserve F, G for binary-image-family of E;
reserve A, B, C for non empty binary-image of E;

theorem
  (dilation(C)).(v+A) = v+((dilation(C)).A)
  proof
    A1: (dilation(C)).(v+A) = (v+A)(+)C by Def2;
    v + ((dilation(C)).A) = v+(A(+)C) by Def2;
    hence thesis by Th17,A1;
  end;
