Lemma update_elections_data_timeout_votes_intro_new : forall h st out st' ps t' h', handleTimeout h (snd st) = (out, st', ps) -> (forall t h, t = currentTerm (snd st) -> votedFor (snd st) = Some h -> In (t, h) (votes (fst st))) -> t' = currentTerm st' -> votedFor st' = Some h' -> In (t', h') (votes (update_elections_data_timeout h st)).