[math] \newcommand{\mathds}{\mathbb}[/math]

Interpret the abstract PLT formula established above, namely

[[math]] \left(\left(1-\frac{t}{n}\right)\delta_0+\frac{t}{n}\delta_1\right)^{*n}\to p_t [[/math]]

as a Poisson Limit Theorem, with full probabilistic details.