Ltac get_invariant_pre inv :=
    match goal with
      | H : raft_intermediate_reachable _ |- _=>
        match (type of H) with
          | context [mkNetwork] =>
            fail 2
        end || copy_apply inv H
    end.Ltac get_invariant_post inv :=
    match goal with
      | H : raft_intermediate_reachable _ |- _=>
        match (type of H) with
          | context [mkNetwork] =>
            copy_apply inv H            
        end
    end.Definition clientCache_to_ks (c : list (clientId * (nat * output))) :=
    map (fun e => (fst e, fst (snd e))) c.

Lemma max_id_for_client_default_or_entry : forall c l x, max_id_for_client_default x c l = x \/ exists e, In e l /\ eClient e = c /\ max_id_for_client_default x c l = eId e.