2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/125632This note contains the complete mathematical proof of the main Theorem of the paper "How continuous measurements in finite dimension are actually discrete" (quant-ph/0702068), thus showing that in finite dimension any measurement with continuous set of outcomes can be simply realized by randomizing some classical parameter and conditionally performing a measurement with finite outcomes.6 pages, no figuresQuantum Physicstext