Proof using.
intros; induction l; simpl in *; intuition;
repeat break_match; subst; simpl in *; intuition;
find_inversion; intuition.
Qed.

Lemma in_contradicting_leader_logs :
forall net nodes t e t' h l,
In (t', h, l) (contradicting_leader_logs net nodes t e) ->
In (t', l) (contradicting_leader_logs_on_leader (leaderLogs (fst (nwState net h))) t e).