milestone in basic_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 ee1e1ecad003fd14b88540bc43526bcc6acacb42..d5d24893fef0558b1dd4d8e9f15c43a68a4cc2fd 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
@@ -14,16 +14,20 @@
 
 include "basic_2/rt_computation/cpxs_tdeq.ma".
 include "basic_2/rt_computation/fpbs_cpxs.ma".
-include "basic_2/rt_computation/fpbg.ma".
+include "basic_2/rt_computation/fpbg_fpbs.ma".
 
-(* PROPER PARALLEL RST-COMPUTATION FOR CLOSURES **************************)
+(* PROPER PARALLEL RST-COMPUTATION FOR CLOSURES *****************************)
 
-(* Properties with uncounted context-sensitive parallel rt-computation ******)
+(* Properties with unbound context-sensitive parallel rt-computation ********)
 
 (* Basic_2A1: was: cpxs_fpbg *)
-lemma cpxs_tdneq_fpbg: ∀h,o,G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 →
-                       (T1 ≛[h, o] T2 → ⊥) → ⦃G, L, T1⦄ >[h, o] ⦃G, L, T2⦄.
-#h #o #G #L #T1 #T2 #H #H0
+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/
 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⦄.
+/3 width=5 by fpbs_fpbg_trans, cpxs_fpbs/ qed-.