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 cacheApplyEntry_cache_apply : forall st e os st' id o o' d, cacheApplyEntry st e = (os, st') -> getLastId st (eClient e) = Some (id, o) -> id < eId e -> handler (eInput e) (stateMachine st) = (o', d) -> assoc_set clientId_eq_dec (clientCache st) (eClient e) (eId e, o') = clientCache st'.