(* Note: this might use fsb_inv_cast (still to be proved) *)
(* Basic_1: uses: ty3_sn3 *)
(* Basic_2A1: uses: nta_fwd_csn *)
-theorem nta_fwd_fsb (a) (h) (G) (L):
- ∀T,U. ⦃G,L⦄ ⊢ T :[a,h] U →
+theorem nta_fwd_fsb (h) (a) (G) (L):
+ ∀T,U. ⦃G,L⦄ ⊢ T :[h,a] U →
∧∧ ≥[h] 𝐒⦃G,L,T⦄ & ≥[h] 𝐒⦃G,L,U⦄.
-#a #h #G #L #T #U #H
+#h #a #G #L #T #U #H
elim (cnv_inv_cast … H) #X #HU #HT #_ #_ -X
/3 width=2 by cnv_fwd_fsb, conj/
qed-.