(* LAZY SN POINTWISE EXTENSION OF A CONTEXT-SENSITIVE REALTION FOR TERMS ****)
-definition llpx_sn_confluent: relation (lenv→relation term) ≝ λR1,R2.
- ∀L0,T0,T1. R1 L0 T0 T1 → ∀T2. R2 L0 T0 T2 →
- ∀L1. llpx_sn R1 0 T0 L0 L1 → ∀L2. llpx_sn R2 0 T0 L0 L2 →
- ∃∃T. R2 L1 T1 T & R1 L2 T2 T.
+definition llpx_sn_confluent2: relation (lenv→relation term) ≝ λR1,R2.
+ ∀L0,T0,T1. R1 L0 T0 T1 → ∀T2. R2 L0 T0 T2 →
+ ∀L1. llpx_sn R1 0 T0 L0 L1 → ∀L2. llpx_sn R2 0 T0 L0 L2 →
+ ∃∃T. R2 L1 T1 T & R1 L2 T2 T.
-(* Note: we miss llpx_sn_conf and derivatives: lpr_conf *)
+(* Note: we miss llpx_sn_conf and derivatives: lpr_conf lprs_conf *)