(* *)
(**************************************************************************)
-include "basic_2/reducibility/tpr_tpss.ma".
+include "basic_2/reducibility/ltpr_tpss.ma".
include "basic_2/reducibility/cpr.ma".
(* CONTEXT-SENSITIVE PARALLEL REDUCTION ON TERMS ****************************)
lemma cpr_tpss_trans: ∀L,T1,T. L ⊢ T1 ➡ T →
∀T2,d,e. L ⊢ T ▶* [d, e] T2 → L ⊢ T1 ➡ T2.
#L #T1 #T * #T0 #HT10 #HT0 #T2 #d #e #HT2
-lapply (tpss_weak_all … HT2) -HT2 #HT2
+lapply (tpss_weak_full … HT2) -HT2 #HT2
lapply (tpss_trans_eq … HT0 HT2) -T /2 width=3/
qed.