(* T-BOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS ***************)
-(* Forward lemmas with unbound context-sensitive rt-transition for terms ****)
+(* Forward lemmas with extended context-sensitive rt-transition for terms ***)
(* Basic_2A1: includes: cpr_cpx *)
-lemma cpm_fwd_cpx: ∀h,n,G,L,T1,T2. ❪G,L❫ ⊢ T1 ➡[h,n] T2 → ❪G,L❫ ⊢ T1 ⬈[h] T2.
-#h #n #G #L #T1 #T2 * #c #Hc #H elim H -L -T1 -T2
-/2 width=3 by cpx_theta, cpx_beta, cpx_ee, cpx_eps, cpx_zeta, cpx_flat, cpx_bind, cpx_lref, cpx_delta/
+lemma cpm_fwd_cpx (h) (n) (G) (L):
+ ∀T1,T2. ❪G,L❫ ⊢ T1 ➡[h,n] T2 → ❪G,L❫ ⊢ T1 ⬈ T2.
+#h #n #G #L #T1 #T2 * #c #_ #HT12
+/2 width=4 by cpg_cpx/
qed-.