Proof using.
tauto.
Qed.
Definition lifted_leaders_have_leaderLogs_strong (net : ghost_log_network) :=
forall h,
type (snd (nwState net h)) = Leader ->
exists ll es,
In (currentTerm (snd (nwState net h)), ll) (leaderLogs (fst (nwState net h))) /\
log (snd (nwState net h)) = es ++ ll /\
(forall e : entry, In e es -> eTerm e = currentTerm (snd (nwState net h))).

Lemma lifted_leaders_have_leaderLogs_strong_invariant :
forall net,
msg_refined_raft_intermediate_reachable net ->
lifted_leaders_have_leaderLogs_strong net.