X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcpms_fpbg.ma;h=9a6f712d4c62e773682079ee71b6443f888bcd97;hb=9605ffc88831066a901ea4eb8e419f277662f372;hp=e5a6ca6b70ae1323d597b37717b01920d4401bbc;hpb=b634a816745cf8a9a7ad14650d088232c8ee1a1a;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_fpbg.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_fpbg.ma
index e5a6ca6b7..9a6f712d4 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_fpbg.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_fpbg.ma
@@ -12,13 +12,38 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/rt_computation/fpbg_fqup.ma".
+include "basic_2/rt_transition/cpm_fpbc.ma".
+include "basic_2/rt_computation/fpbg_fqus.ma".
+include "basic_2/rt_computation/fpbg_cpxs.ma".
 include "basic_2/rt_computation/cpms_fpbs.ma".
 
 (* T-BOUND CONTEXT-SENSITIVE PARALLEL RT-COMPUTATION FOR TERMS **************)
 
 (* Forward lemmas with proper parallel rst-computation for closures *********)
 
-lemma fqup_cpms_fwd_fpbg (h) (o): ∀G1,G2,L1,L2,T1,T. ⦃G1, L1, T1⦄ ⊐+ ⦃G2, L2, T⦄ →
-                                  ∀n,T2. ⦃G2, L2⦄ ⊢ T ➡*[n,h] T2 → ⦃G1, L1, T1⦄ >[h,o] ⦃G2, L2, T2⦄.
-/3 width=5 by cpms_fwd_fpbs, fqup_fpbg,fpbg_fpbs_trans/ qed-.
+lemma cpms_tneqx_fwd_fpbg (h) (n):
+      ∀G,L,T1,T2. ❨G,L❩ ⊢ T1 ➡*[h,n] T2 →
+      (T1 ≅ T2 → ⊥) → ❨G,L,T1❩ > ❨G,L,T2❩.
+/3 width=3 by cpms_fwd_cpxs, cpxs_tneqx_fpbg/ qed-.
+
+lemma fpbg_cpms_trans (h) (n):
+      ∀G1,G2,L1,L2,T1,T. ❨G1,L1,T1❩ > ❨G2,L2,T❩ →
+      ∀T2. ❨G2,L2❩ ⊢ T ➡*[h,n] T2 → ❨G1,L1,T1❩ > ❨G2,L2,T2❩.
+/3 width=5 by fpbg_fpbs_trans, cpms_fwd_fpbs/ qed-.
+
+lemma cpms_fpbg_trans (h) (n):
+      ∀G1,L1,T1,T. ❨G1,L1❩ ⊢ T1 ➡*[h,n] T →
+      ∀G2,L2,T2. ❨G1,L1,T❩ > ❨G2,L2,T2❩ → ❨G1,L1,T1❩ > ❨G2,L2,T2❩.
+/3 width=5 by fpbs_fpbg_trans, cpms_fwd_fpbs/ qed-.
+
+lemma fqup_cpms_fwd_fpbg (h):
+      ∀G1,G2,L1,L2,T1,T. ❨G1,L1,T1❩ ⬂+ ❨G2,L2,T❩ →
+      ∀n,T2. ❨G2,L2❩ ⊢ T ➡*[h,n] T2 → ❨G1,L1,T1❩ > ❨G2,L2,T2❩.
+/3 width=5 by cpms_fwd_fpbs, fqup_fpbg, fpbg_fpbs_trans/ qed-.
+
+lemma cpm_tneqx_cpm_cpms_teqx_sym_fwd_fpbg (h) (G) (L) (T1):
+      ∀n1,T. ❨G,L❩ ⊢ T1 ➡[h,n1] T → (T1 ≅ T → ⊥) →
+      ∀n2,T2. ❨G,L❩⊢ T ➡*[h,n2] T2 → T1 ≅ T2 → ❨G,L,T1❩ > ❨G,L,T1❩.
+#h #G #L #T1 #n1 #T #H1T1 #H2T1 #n2 #T2 #H1T2 #H2T12
+/4 width=10 by fpbc_fpbs_fpbg, cpms_fwd_fpbs, fpbs_teqg_trans, cpm_fwd_fpbc, teqx_sym/
+qed-.