Definition logs_leaderLogs_inductive net :=
    logs_leaderLogs net /\
    logs_leaderLogs_nw net.

Lemma update_elections_data_appendEntries_leaderLogs : forall h st t h' pli plt es ci, leaderLogs (update_elections_data_appendEntries h st t h' pli plt es ci) = leaderLogs (fst st).