2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68402If $X, Y,$ and $Z$ are finite sets of selfadjoint elements in a tracial von Neumann algebra and $X$ generates a hyperfinite von Neumann algebra, then $δ_0(X \cup Y \cup Z) \leq δ_0(X \cup Y) + δ_0(X \cup Z) - δ_0(X).$ We draw several corollaries from this inequality.9 pages, added section and corollaryOperator Algebras46L54; 28A78text