(* Advanced forward lemmas on context-sensitive extended irreducible terms **)
-lemma cpx_fwd_cix: ∀h,g,L,T1,T2. ⦃h, L⦄ ⊢ T1 ➡[g] T2 → ⦃h, L⦄ ⊢ 𝐈[g]⦃T1⦄ → T2 = T1.
+lemma cpx_fwd_cix: ∀h,g,L,T1,T2. ⦃G, L⦄ ⊢ T1 ➡[h, g] T2 → ⦃G, L⦄ ⊢ 𝐈[h, g]⦃T1⦄ → T2 = T1.
#h #g #L #T1 #T2 #H elim H -L -T1 -T2
[ //
| #L #k #l #Hkl #H elim (cix_inv_sort … Hkl H)