theorem Th26:
  L is C_Linear_Combination of A implies a * L is C_Linear_Combination of A
proof
  assume
A1: L is C_Linear_Combination of A;
A2: now
    assume a <> 0c;
    then Carrier (a * L) = Carrier L by Th24;
    hence thesis by A1,Def4;
  end;
  a = 0c implies a*L = ZeroCLC V by Th25;
  hence thesis by A2,Th4;
end;
