If you have a Mac Mini (Early 2006), the Final Cut Studio (Universal) crossgrade Installer does not prohibit you from installing the pro applications, but this configuration does not meet the minimum system requirements for Final Cut Studio.
See the Final Cut Studio system requirements for complete requirements.
Note: The integrated graphics processor in the Mac Mini (Early 2006) does not permit float processing in Motion and will result in degraded performance and other issues in Motion and other Final Cut Studio applications.