(* *)
(**************************************************************************)
-include "basic_2/static/ssta_ssta.ma".
+include "basic_2/static/sta_sta.ma".
include "basic_2/computation/cpxs_lift.ma".
include "basic_2/computation/fpbu.ma".
(* Advanced properties ******************************************************)
-lemma lsstas_fpbu: ∀h,g,G,L,T1,T2,l2. ⦃G, L⦄ ⊢ T1 •*[h, g, l2] T2 → (T1 = T2 → ⊥) →
- ∀l1. l2 ≤ l1 → ⦃G, L⦄ ⊢ T1 ▪[h, g] l1 → ⦃G, L, T1⦄ ≻[h, g] ⦃G, L, T2⦄.
-/4 width=5 by fpbu_cpxs, lsstas_cpxs/ qed.
+lemma lstas_fpbu: ∀h,g,G,L,T1,T2,l2. ⦃G, L⦄ ⊢ T1 •*[h, l2] T2 → (T1 = T2 → ⊥) →
+ ∀l1. l2 ≤ l1 → ⦃G, L⦄ ⊢ T1 ▪[h, g] l1 → ⦃G, L, T1⦄ ≻[h, g] ⦃G, L, T2⦄.
+/4 width=5 by fpbu_cpxs, lstas_cpxs/ qed.
-lemma ssta_fpbu: ∀h,g,G,L,T1,T2,l. ⦃G, L⦄ ⊢ T1 ▪[h, g] l+1 →
- ⦃G, L⦄ ⊢ T1 •[h, g] T2 → ⦃G, L, T1⦄ ≻[h, g] ⦃G, L, T2⦄.
+lemma sta_fpbu: ∀h,g,G,L,T1,T2,l. ⦃G, L⦄ ⊢ T1 ▪[h, g] l+1 →
+ ⦃G, L⦄ ⊢ T1 •[h] T2 → ⦃G, L, T1⦄ ≻[h, g] ⦃G, L, T2⦄.
#h #g #G #L #T1 #T2 #l #HT1 #HT12 elim (eq_term_dec T1 T2)
-/3 width=5 by ssta_lsstas, lsstas_fpbu/ #H destruct
-elim (ssta_inv_refl_pos … HT1 … HT12)
+/3 width=5 by sta_lstas, lstas_fpbu/ #H destruct
+elim (sta_inv_refl_pos … HT1 … HT12)
qed.