Antichains on the Boolean lattice of dimension 6

Yuval Filmus

We provide a list of all inequivalent non-trival antichains on the Boolean lattice of dimension 6, excluding the empty antichain and the one containing the empty set. Alternatively, this is a list containing all inequivalent non-constant monotone Boolean functions on six inputs, given by their minterms.

Antichains depending of dimension $n$ are given in terms of the points $1,\ldots,n$. The number of antichains of given dimension (including the two trivial cases) forms the sequence A003182.