X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Ffpbg_fqup.ma;h=3660f103c9385fadd72c28d5a3df8bda44e73a49;hb=80ecd5486c6013f6c297173f41432fd1d93814ef;hp=c72dcc82175911cc821c0ed1f279e3562c3b0b30;hpb=4173283e148199871d787c53c0301891deb90713;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_fqup.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_fqup.ma
index c72dcc821..3660f103c 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_fqup.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_fqup.ma
@@ -17,16 +17,13 @@ include "basic_2/rt_computation/fpbg.ma".
 
 (* PROPER PARALLEL RST-COMPUTATION FOR CLOSURES *****************************)
 
-(* Advanced properties with sort-irrelevant equivalence for terms ***********)
+(* Advanced properties ******************************************************)
 
-lemma fpbg_tdeq_div: ∀h,G1,G2,L1,L2,T1,T. ⦃G1, L1, T1⦄ >[h] ⦃G2, L2, T⦄ →
-                     ∀T2. T2 ≛ T → ⦃G1, L1, T1⦄ >[h] ⦃G2, L2, T2⦄.
-/4 width=5 by fpbg_fdeq_trans, tdeq_fdeq, tdeq_sym/ qed-.
+lemma fpbc_fpbg (G1) (G2) (L1) (L2) (T1) (T2):
+      ❨G1,L1,T1❩ ≻ ❨G2,L2,T2❩ → ❨G1,L1,T1❩ > ❨G2,L2,T2❩.
+/3 width=13 by fpbg_intro, fpb_fpbs/ qed.
 
-(* Properties with plus-iterated structural successor for closures **********)
-
-(* Note: this is used in the closure proof *)
-lemma fqup_fpbg: ∀h,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐+ ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ >[h] ⦃G2, L2, T2⦄.
-#h #G1 #G2 #L1 #L2 #T1 #T2 #H elim (fqup_inv_step_sn … H) -H
-/3 width=5 by fqus_fpbs, fpb_fqu, ex2_3_intro/
-qed.
+lemma fpbc_fpbs_fpbg (G) (L) (T):
+      ∀G1,L1,T1. ❨G1,L1,T1❩ ≻ ❨G,L,T❩ →
+      ∀G2,L2,T2. ❨G,L,T❩ ≥ ❨G2,L2,T2❩ → ❨G1,L1,T1❩ > ❨G2,L2,T2❩.
+/2 width=9 by fpbg_intro/ qed.