Finite special containment formulation of the Zilber–Pink conjecture

Let $\mathfrak{S}$ be a semiabelian variety or $Y(1)^n$, and let $V\subseteq\mathfrak{S}$ be an algebraic subvariety. An atypical subvariety of $V$ is an atypical component of an intersection of $V$ with a special subvariety of $\mathfrak{S}$.

Zilber–Pink conjecture, finite-containment formulation. There is a finite collection $\Sigma$ of proper special subvarieties of $\mathfrak{S}$ such that every atypical subvariety $X$ of $V$ is contained in some $T\in\Sigma$.

This is presented in the source as an equivalent formulation of the preceding Zilber–Pink conjecture. The assertion is open in the general semiabelian and modular settings.