-lemma rsx_lpx_trans (h) (G):
- ∀L1,T. G ⊢ ⬈*[h,T] 𝐒❪L1❫ →
- ∀L2. ❪G,L1❫ ⊢ ⬈[h] L2 → G ⊢ ⬈*[h,T] 𝐒❪L2❫.
-#h #G #L1 #T #H @(rsx_ind … H) -L1 #L1 #HL1 #IHL1 #L2 #HL12
-elim (reqx_dec L1 L2 T) /3 width=4 by rsx_reqx_trans/
+lemma rsx_lpx_trans (G):
+ ∀L1,T. G ⊢ ⬈*𝐒[T] L1 →
+ ∀L2. ❪G,L1❫ ⊢ ⬈ L2 → G ⊢ ⬈*𝐒[T] L2.
+#G #L1 #T #H @(rsx_ind … H) -L1 #L1 #HL1 #IHL1 #L2 #HL12
+elim (reqx_dec … L1 L2 T) /3 width=4 by rsx_reqx_trans/