milestone update in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / fpbg_fqup.ma

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 ce02c890aa3a096ad3b30a74ce42bb50d3ad4ff8..37681f1fa5ce4a0d3966880f3b5594edf7ef2dfe 100644 (file)
--- 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 degree-based equivalence for terms **************)
+(* Advanced properties ******************************************************)
 
-lemma fpbg_tdeq_div: ∀h,o,G1,G2,L1,L2,T1,T. ⦃G1, L1, T1⦄ >[h, o] ⦃G2, L2, T⦄ →
-                     ∀T2. T2 ≛[h, o] T → ⦃G1, L1, T1⦄ >[h, o] ⦃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,o,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐+ ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ >[h, o] ⦃G2, L2, T2⦄.
-#h #o #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.