Lemma handleRequestVoteReply_preserves_candidateEntriesTerm : forall net h h' t r st' t', handleRequestVoteReply h (snd (nwState net h)) h' t r = st' -> refined_raft_intermediate_reachable net -> candidateEntriesTerm t' (nwState net) -> candidateEntriesTerm t' (update name_eq_dec (nwState net) h (update_elections_data_requestVoteReply h h' t r (nwState net h), st')).