(* Main properties on context-sensitive extended irreducible terms **********)
-theorem cix_cnr: ∀h,g,L,T. ⦃G, L⦄ ⊢ 𝐈[h, g]⦃T⦄ → ⦃G, L⦄ ⊢ 𝐍[h, g]⦃T⦄.
-/2 width=5 by cpx_fwd_cix/ qed.
+theorem cix_cnr: ∀h,g,G,L,T. ⦃G, L⦄ ⊢ 𝐈[h, g]⦃T⦄ → ⦃G, L⦄ ⊢ 𝐍[h, g]⦃T⦄.
+/2 width=6 by cpx_fwd_cix/ qed.
(* Main inversion lemmas on context-sensitive extended irreducible terms ****)
-theorem cnr_inv_cix: ∀h,g,L,T. ⦃G, L⦄ ⊢ 𝐍[h, g]⦃T⦄ → ⦃G, L⦄ ⊢ 𝐈[h, g]⦃T⦄.
-/2 width=6 by cnx_inv_crx/ qed-.
+theorem cnr_inv_cix: ∀h,g,G,L,T. ⦃G, L⦄ ⊢ 𝐍[h, g]⦃T⦄ → ⦃G, L⦄ ⊢ 𝐈[h, g]⦃T⦄.
+/2 width=7 by cnx_inv_crx/ qed-.