(* Properties with context-sensitive free variables *************************)
-(* Basic_2A1: was: lpx_cpx_frees_trans *)
+(* Basic_2A1: uses: lpx_cpx_frees_trans *)
lemma cpx_frees_conf_lfpx: ∀h,G,L1,T1,f1. L1 ⊢ 𝐅*⦃T1⦄ ≡ f1 →
∀L2. L1 ⦻*[cpx h G, cfull, f1] L2 →
∀T2. ⦃G, L1⦄ ⊢ T1 ⬈[h] T2 →
]
qed-.
-(* Basic_2A1: was: cpx_frees_trans *)
+(* Basic_2A1: uses: cpx_frees_trans *)
lemma cpx_frees_conf: ∀h,G. R_frees_confluent (cpx h G).
/3 width=7 by cpx_frees_conf_lfpx, lexs_refl/ qed-.
-(* Basic_2A1: was: lpx_frees_trans *)
+(* Basic_2A1: uses: lpx_frees_trans *)
lemma lfpx_frees_conf: ∀h,G. lexs_frees_confluent (cpx h G) cfull.
/2 width=7 by cpx_frees_conf_lfpx/ qed-.