Restriction and re-labeling on CCS

Question

In a process like $$ R \stackrel{def}=((a.\bar{b}.0)\setminus\{b\})[a\to b]\mid(\bar{b}.b.0)+\bar{b}.c.0 $$

$b$ is restricted to perform on the inner process of RHS $(a.\bar{b}.0)\setminus\{b\}$, thereafter the $a$ is relabeled to $b$. What I am confused is in drawing the LTS of it, the $a$ action occur at first process (we can have a transition with label $a$ in the LTS) and it is the next process that renaming takes place? can the following LTS be valid as first actions transitions? (the bar is replaced by underline)