reserve x,y,X,Y for set,
  k,l,n for Nat,
  i,i1,i2,i3,j for Integer,
  G for Group,
  a,b,c,d for Element of G,
  A,B,C for Subset of G,
  H,H1,H2, H3 for Subgroup of G,
  h for Element of H,
  F,F1,F2 for FinSequence of the carrier of G,
  I,I1,I2 for FinSequence of INT;

theorem
  for G being associative unital non empty multMagma,
     F1,F2 being FinSequence of the carrier of G holds
     Product(F1 ^ F2) = Product(F1) * Product(F2) by FINSOP_1:5;
