definition co_dedropable_sn: predicate (rtmap → relation lenv) ≝
λR. ∀b,f,L1,K1. ⬇*[b, f] L1 ≡ K1 → ∀f1,K2. R f1 K1 K2 →
∀f2. f ~⊚ f1 ≡ f2 →
- â\88\83â\88\83L2. R f2 L1 L2 & â¬\87*[b, f] L2 â\89¡ K2 & L1 â\89¡[f] L2.
+ â\88\83â\88\83L2. R f2 L1 L2 & â¬\87*[b, f] L2 â\89¡ K2 & L1 â\89\90[f] L2.
(* Basic properties *********************************************************)
(* Properties with context-sensitive equivalence for terms ******************)
-lemma ceq_lift_sn: d_liftable2_sn … liftsb ceq.
+lemma ceq_lift_sn: d_liftable2_sn … liftsb ceq_ext.
+#K #I1 #I2 #H <(ceq_ext_inv_eq … H) -I2
/2 width=3 by ex2_intro/ qed-.
-lemma ceq_inv_lift_sn: d_deliftable2_sn … liftsb ceq.
+lemma ceq_inv_lift_sn: d_deliftable2_sn … liftsb ceq_ext.
+#L #J1 #J2 #H <(ceq_ext_inv_eq … H) -J2
/2 width=3 by ex2_intro/ qed-.
(* Note: d_deliftable2_sn cfull does not hold *)