X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fcomputation%2Ffpbg_fpbg.ma;h=bbbcc2487be4a5371fad80ba87640b997b49662c;hb=5a35a42e23b2f343f0241eeb6648bf05f31720db;hp=57dd5ebb43b55effdbbd6801b59fbaeffc0b1b4a;hpb=106b25f0206beedc4e416d223accb1308ca7161b;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/fpbg_fpbg.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/fpbg_fpbg.ma
index 57dd5ebb4..bbbcc2487 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/fpbg_fpbg.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/fpbg_fpbg.ma
@@ -12,42 +12,11 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/computation/fpbs_fpbu.ma".
-include "basic_2/computation/fpbs_fpbc.ma".
-include "basic_2/computation/fpbs_fpbs.ma".
 include "basic_2/computation/fpbg_fpbs.ma".
 
 (* "QRST" PROPER PARALLEL COMPUTATION FOR CLOSURES **************************)
 
-(* Advanced inversion lemmas ************************************************)
-
-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 fleq_fpbs, ex2_3_intro/
-| #G1 #G #L1 #L #T1 #T *
-  #G0 #L0 #T0 #H10 #H0 #_ *
-  /5 width=9 by fpbu_fpbs, fpbs_trans, fleq_fpbs, ex2_3_intro/
-]
-qed-.
-
-(* Advanced forward lemmas **************************************************)
-
-lemma fpbg_fwd_fpbs: ∀h,g,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ >≡[h, g] ⦃G2, L2, T2⦄ →
-                     ⦃G1, L1, T1⦄ ≥[h, g] ⦃G2, L2, T2⦄.
-#h #g #G1 #G2 #L1 #L2 #T1 #T2 #H @(fpbg_ind … H) -G2 -L2 -T2
-[2: #G #G2 #L #L2 #T #T2 #_ #H2 #IH1 @(fpbs_trans … IH1) -IH1 ] (**) (* full auto fails *)
-/2 width=1 by fpbc_fpbs/
-qed-.
-
-(* Advanced properties ******************************************************)
-
-lemma fpbs_fpbu_trans: ∀h,g,F1,F2,K1,K2,T1,T2. ⦃F1, K1, T1⦄ ≥[h, g] ⦃F2, K2, T2⦄ →
-                       ∀G2,L2,U2. ⦃F2, K2, T2⦄ ≻[h, g] ⦃G2, L2, U2⦄ →
-                       ∃∃G1,L1,U1. ⦃F1, K1, T1⦄ ≻[h, g] ⦃G1, L1, U1⦄ & ⦃G1, L1, U1⦄ ≥[h, g] ⦃G2, L2, U2⦄.
-/5 width=5 by fpbg_inv_fpbu_sn, fpbs_fpbg_trans, fpbc_fpbg, fpbu_fpbc/ qed-.
-
-(* Man properties ***********************************************************)
+(* Main properties **********************************************************)
 
 theorem fpbg_trans: ∀h,g. tri_transitive … (fpbg h g).
-/2 width=5 by tri_TC_transitive/ qed-.
+/3 width=5 by fpbg_fpbs_trans, fpbg_fwd_fpbs/ qed-.