2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76015We present a simple extension of Lindeberg's argument for the Central Limit Theorem to get a general invariance result. We apply the technique to prove results from random matrix theory, spin glasses, and maxima of random fields.ProbabilityMathematical Physics60F17; 37E20text