Containment via Macdonald polynomial differences

Let $\lambda$ and $\mu$ be partitions, and let $P_\lambda(x;q,t)$ denote the Macdonald polynomial. Macdonald containment conjecture. The Macdonald counterpart over $\mathbb F_{\geqslant0}$ of the stated Jack containment theorem holds. The source supplies no explicit formulation of the referenced Jack theorem in the candidate span, so the exact quantified containment condition should be checked against the paper.