Consider two schemas, S$1$ and S$2($they can be DTDs$,$ WXSs$,$ or RELAX$-$NG schemas$).$ If S$1$ and S$2$ are equivalent $($that is$,$ each document that is valid w$.$r$.$t$.$ S$1$ is also valid w$.$r$.$t$.$ S$2),$ then the following is also true: for every document D$,$ the PSVI generated for D and S$1$ is the same as the PSVI generated for D and S$2.($True or $$False$)$