Definition raft_net_invariant_state_same_packet_subset (P : network -> Prop) :=
    forall net net',
      (forall h, nwState net h = nwState net' h) ->
      (forall p, In p (nwPackets net') -> In p (nwPackets net)) ->
      P net ->
      raft_intermediate_reachable net ->
      P net'.Definition raft_net_invariant_reboot (P : network -> Prop) :=
    forall net net' d h d',
      reboot d = d' ->
      P net ->
      raft_intermediate_reachable net ->
      nwState net h = d ->
      (forall h', nwState net' h' = update name_eq_dec (nwState net) h d' h') ->
      nwPackets net = nwPackets net' ->
      P net'.Definition raft_net_invariant_init (P : network -> Prop) :=
    P step_async_init.

Lemma reboot_idem : forall d, reboot (reboot d) = reboot d.