theorem
  for GF be add-associative right_zeroed right_complementable Abelian
  commutative associative well-unital distributive non empty doubleLoopStr, V
  be Abelian add-associative right_zeroed right_complementable
  vector-distributive scalar-distributive scalar-associative scalar-unital non
empty ModuleStr over GF, a,b being Element of GF, v being Element of V holds (
  a - b) * v = a * v - b * v by Lm1;
