2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/218576We prove that the definition of supersimplicity in metric structures from \cite{pezz:Morley} is equivalent to an \textit{a priori} stronger variant. This stronger variant is then used to prove that if $T$ is a supersimple Hausdorff cat then so is its theory of lovely pairs.Logic03C45; 03C90; 03C95text