-theorem lpr_conf: ∀G. confluent … (lpr G).
-/3 width=6 by lpx_sn_conf, cpr_conf_lpr/
-qed-.
+theorem lfpr_bind: ∀h,G,L1,L2,V1. ⦃G, L1⦄ ⊢ ➡[h, V1] L2 →
+ ∀I,V2,T. ⦃G, L1.ⓑ{I}V1⦄ ⊢ ➡[h, T] L2.ⓑ{I}V2 →
+ ∀p. ⦃G, L1⦄ ⊢ ➡[h, ⓑ{p,I}V1.T] L2.
+/2 width=2 by lfxs_bind/ qed.
+
+theorem lfpr_flat: ∀h,G,L1,L2,V. ⦃G, L1⦄ ⊢ ➡[h, V] L2 →
+ ∀I,T. ⦃G, L1⦄ ⊢ ➡[h, T] L2 → ⦃G, L1⦄ ⊢ ➡[h, ⓕ{I}V.T] L2.
+/2 width=1 by lfxs_flat/ qed.