DES - Definition of 'Irreducible CTHMC'

Irreducible CTHMC:

The CTHMC is said irreducible if the state set $\mathcal{X}$ is irreducible

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~Example: Irreducible CTHMC

State $1$ is reachable from states $2$, $3$ State $2$ is reachable from states $1$ State $3$ is reachable from states $2$ State $4$ is reachable from states $2$ State $5$ is reachable from states $3$, $4$, $6$ State $6$ is reachable from states $4$, $5$ Every state is reachable by at least one different state set, so this state set is Irreducible and so it is the CTHMC.