reserve R for Ring,
  V for RightMod of R,
  W,W1,W2,W3 for Submodule of V,
  u,u1, u2,v,v1,v2 for Vector of V,
  x,y,y1,y2 for object;

theorem Th38:
  V is_the_direct_sum_of W1,W2 implies V is_the_direct_sum_of W2, W1
by Th14,Lm1;
