reserve a,b,r for non unit non zero Real;
reserve X for non empty set,
        x for Tuple of 4,X;
reserve V             for RealLinearSpace,
        A,B,C,P,Q,R,S for Element of V;

theorem
  for a being Real for p being Tuple of 1,REAL holds
  multreal.:(dom p --> a,p) = a * p by Th22;
