milestone update in basic_2, update in ground and static_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_cpxs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_cpxs.ma
index 6fef34261e8d68ea25c7da5de9f135fe384b7f17..335243516c00f64ee75497c00c05cfc9e0520fba 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_cpxs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_cpxs.ma
@@ -12,22 +12,24 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/rt_computation/cpxs_tdeq.ma".
+include "basic_2/rt_computation/cpxs_teqx.ma".
 include "basic_2/rt_computation/fpbs_cpxs.ma".
 include "basic_2/rt_computation/fpbg_fpbs.ma".
 
 (* PROPER PARALLEL RST-COMPUTATION FOR CLOSURES *****************************)
 
-(* Properties with unbound context-sensitive parallel rt-computation ********)
+(* Properties with extended context-sensitive parallel rt-computation *******)
 
 (* Basic_2A1: was: cpxs_fpbg *)
-lemma cpxs_tdneq_fpbg (h): ∀G,L,T1,T2. ⦃G,L⦄ ⊢ T1 ⬈*[h] T2 →
-                           (T1 ≛ T2 → ⊥) → ⦃G,L,T1⦄ >[h] ⦃G,L,T2⦄.
-#h #G #L #T1 #T2 #H #H0
-elim (cpxs_tdneq_fwd_step_sn … H … H0) -H -H0
-/4 width=5 by cpxs_tdeq_fpbs, fpb_cpx, ex2_3_intro/
+lemma cpxs_tneqx_fpbg:
+      ∀G,L,T1,T2. ❪G,L❫ ⊢ T1 ⬈* T2 →
+      (T1 ≛ T2 → ⊥) → ❪G,L,T1❫ > ❪G,L,T2❫.
+#G #L #T1 #T2 #H #H0
+elim (cpxs_tneqx_fwd_step_sn … H … H0) -H -H0
+/4 width=5 by cpxs_teqx_fpbs, fpb_cpx, ex2_3_intro/
 qed.
 
-lemma cpxs_fpbg_trans (h): ∀G1,L1,T1,T. ⦃G1,L1⦄ ⊢ T1 ⬈*[h] T →
-                           ∀G2,L2,T2. ⦃G1,L1,T⦄ >[h] ⦃G2,L2,T2⦄ → ⦃G1,L1,T1⦄ >[h] ⦃G2,L2,T2⦄.
+lemma cpxs_fpbg_trans:
+      ∀G1,L1,T1,T. ❪G1,L1❫ ⊢ T1 ⬈* T →
+      ∀G2,L2,T2. ❪G1,L1,T❫ > ❪G2,L2,T2❫ → ❪G1,L1,T1❫ > ❪G2,L2,T2❫.
 /3 width=5 by fpbs_fpbg_trans, cpxs_fpbs/ qed-.