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 getLastId_clientCache_to_ks_assoc : forall (st : RaftState.raft_data term name entry logIndex serverType data clientId output) (client : clientId) (id : nat) o, getLastId st client = Some (id, o) -> assoc clientId_eq_dec (clientCache_to_ks (clientCache st)) client = Some id.