
theorem Th36:
  for V being RealUnitarySpace, W being Subspace of V, L being
  Linear_Compl of W holds W + L = the UNITSTR of V & L + W = the UNITSTR of V
proof
  let V be RealUnitarySpace, W be Subspace of V, L be Linear_Compl of W;
  V is_the_direct_sum_of W,L by Th35;
  hence W + L = the UNITSTR of V;
  hence thesis by Lm1;
end;
