  We present two results on maximal antichains in the strict chain product
poset $[t_1+1]\times[t_2+1]\times\ldots\times[t_n+1]$. First, we prove that
these maximal antichains are also maximum. Second, we prove that there is a
bijection between maximal antichains in the strict chain product poset
$[t_1+1]\times[t_2+1]\times\ldots\times[t_n+1]$ and antichains in the
non-strict chain product poset $[t_1]\times[t_2]\times\ldots\times[t_n]$.
