Properly built for what? You need to define what you want your LDOM to be ready to serve. An LDOM build is no different from a normal Solaris installation. The only things to check that are LDOM specific are possibly hardware resources available to the LDOM, has the SA assigned the correct number of threads/cores to the LDOM, correct amount of memory and disk etc. The commands to check this are the same as you use to check in non-LDOM Solaris (psrinfo, prtdiag etc).