### Obtaining a poset of plane ~~paritions ~~partitions via Sage

In Sage there is the command YoungsLatticePrincipalOrderIdeal(p)
to obtain the lattice of partitions contained in p (via Ferrer diagrams) with maximal element p.

My question is whether there is the same command for obtaining via Sage the finite poset of all plane partitions that are contained in a given plane partition p ?

(see https://en.wikipedia.org/wiki/Plane_partition )

edit: It would also be interesting how to obtain the poset of plane partitions of $m$ for a given $m \leq n$ as one can do the same for the Young lattice in Sage via P=posets.YoungsLattice(5).

Thank you for any help.