(* Main properties on context-sensitive extended irreducible terms **********)
-theorem cix_cnr: ∀h,g,L,T. ⦃h, L⦄ ⊢ 𝐈[g]⦃T⦄ → ⦃h, L⦄ ⊢ 𝐍[g]⦃T⦄.
+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.
(* Main inversion lemmas on context-sensitive extended irreducible terms ****)
-theorem cnr_inv_cix: ∀h,g,L,T. ⦃h, L⦄ ⊢ 𝐍[g]⦃T⦄ → ⦃h, L⦄ ⊢ 𝐈[g]⦃T⦄.
+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-.