destruct q.
simpl in *.
apply n.
- eapply nd_comp; [ idtac | eapply nd_rule; eapply RCut ].
+ eapply nd_comp; [ idtac | eapply RCut' ].
eapply nd_comp; [ apply nd_llecnac | idtac ].
apply nd_prod.
apply IHX1.
set (letRecSubproofsToND _ _ _ _ _ branches lrsp) as q.
- eapply nd_comp; [ idtac | eapply nd_rule; eapply RCut ].
+ eapply nd_comp; [ idtac | eapply RCut' ].
eapply nd_comp; [ apply nd_llecnac | idtac ].
apply nd_prod.
apply q.
inversion H.
destruct case_ELet; intros; simpl in *.
- eapply nd_comp; [ idtac | eapply nd_rule; eapply RLet ].
+ eapply nd_comp; [ idtac | eapply RLet ].
eapply nd_comp; [ apply nd_rlecnac | idtac ].
apply nd_prod.
apply pf_let.