(* *)
(**************************************************************************)
-include "basic_2/relocation/llpx_sn_ldrop.ma".
include "basic_2/relocation/fquq_alt.ma".
include "basic_2/reduction/cpr_lift.ma".
+include "basic_2/reduction/cpr_llpx_sn.ma".
include "basic_2/reduction/llpr.ma".
(* LAZY SN PARALLEL REDUCTION FOR LOCAL ENVIRONMENTS ************************)
∀J,W1,W2. ⦃G, L1⦄ ⊢ ➡[W1, 0] L2 → ⦃G, L1⦄ ⊢ W1 ➡ W2 → ⦃G, L1.ⓑ{J}W1⦄ ⊢ ➡[T, 0] L2.ⓑ{J}W2.
/2 width=4 by llpx_sn_bind_repl_O/ qed-.
+(* Advanced properties ******************************************************)
+
+lemma llpr_cpr_conf: ∀G. s_r_confluent1 … (cpr G) (llpr G 0).
+/3 width=10 by llpx_sn_cpr_conf, cpr_inv_lift1, cpr_lift/ qed-.
+
(* Properties on context-sensitive parallel reduction for terms *************)
lemma fqu_cpr_trans_dx: ∀G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊃ ⦃G2, L2, T2⦄ →