reserve X for non empty BCIStr_1;
reserve d for Element of X;
reserve n,m,k for Nat;
reserve f for sequence of  the carrier of X;

theorem
  for X being BCI-Algebra_with_Condition(S), F being FinSequence of the
carrier of X, a being Element of X holds Product_S(<* a *> ^ F) = a * Product_S
  (F) by Th18,FINSOP_1:6;
