Subset Construction

Let N be an ordinary NFA with input alphabet $\{$a$,$ b$\}$ and transition relation $\backslash$Delta $.$ Let D$,$ with transition function $\backslash$delta $,$ be the DFA made from N by the Subset Construction. Let i be the start state of N$.$ Then for any state p of N$,($i$,$ aba, p$)$ is in $\backslash$Delta $*$ if and only if p is a member of the state $\backslash$delta $*(\{$i$\},$ aba$)$ of D$.$true or false