(**************************************************************************)
include "basic_2/computation/fpbc_fpbs.ma".
-include "basic_2/computation/fpbg_fpns.ma".
+include "basic_2/computation/fpbg_fleq.ma".
(* GENERAL "BIG TREE" PROPER PARALLEL COMPUTATION FOR CLOSURES **************)
lemma fpbg_inv_fpbu_sn: ∀h,g,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ >⋕[h, g] ⦃G2, L2, T2⦄ →
∃∃G,L,T. ⦃G1, L1, T1⦄ ≻[h, g] ⦃G, L, T⦄ & ⦃G, L, T⦄ ≥[h, g] ⦃G2, L2, T2⦄.
#h #g #G1 #G2 #L1 #L2 #T1 #T2 #H @(fpbg_ind_dx … H) -G1 -L1 -T1
-[ #G1 #L1 #T1 * /3 width=5 by fpns_fpbs, ex2_3_intro/
+[ #G1 #L1 #T1 * /3 width=5 by fleq_fpbs, ex2_3_intro/
| #G1 #G #L1 #L #T1 #T *
#G0 #L0 #T0 #H10 #H0 #_ *
- /5 width=9 by fpbu_fwd_fpbs, fpbs_trans, fpns_fpbs, ex2_3_intro/
+ /5 width=9 by fpbu_fwd_fpbs, fpbs_trans, fleq_fpbs, ex2_3_intro/
]
qed-.