(* Properties with unbound parallel rt-computation on all entries ***********)
-lemma csx_lpxs_conf: ∀h,o,G,L1,L2,T. ⦃G, L1⦄ ⊢ ⬈*[h] L2 →
- ⦃G, L1⦄ ⊢ ⬈*[h, o] 𝐒⦃T⦄ → ⦃G, L2⦄ ⊢ ⬈*[h, o] 𝐒⦃T⦄.
-#h #o #G #L1 #L2 #T #H @(lpxs_ind_dx … H) -L2
+lemma csx_lpxs_conf (h) (G) (L1):
+ ∀L2,T. ❪G,L1❫ ⊢ ⬈*[h] L2 → ❪G,L1❫ ⊢ ⬈*𝐒[h] T → ❪G,L2❫ ⊢ ⬈*𝐒[h] T.
+#h #G #L1 #L2 #T #H @(lpxs_ind_dx … H) -L2
/3 by lpxs_step_dx, csx_lpx_conf/
qed-.