lemma ssta_fpbc: ∀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⦄.
-#h #g #G #L #T1 #T2 #l #HT1 #HT12 elim (term_eq_dec T1 T2)
+#h #g #G #L #T1 #T2 #l #HT1 #HT12 elim (eq_term_dec T1 T2)
/3 width=5 by fpbc_cpx, ssta_cpx/ #H destruct
elim (ssta_inv_refl_pos … HT1 … HT12)
qed.