milestone update in basic_2, update in ground and static_2

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

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 baa4aa7f9d7abb833e1347aab065e2d12dbf6a39..09a2e9ceb0050e957ae4d28c84684ec7cebd15eb 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_fpbg.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_fpbg.ma
@@ -20,29 +20,29 @@ include "basic_2/rt_computation/cpms_fpbs.ma".
 
 (* Forward lemmas with proper parallel rst-computation for closures *********)
 
-lemma cpms_tdneq_fwd_fpbg (h) (n):
-      â\88\80G,L,T1,T2. â¦\83G,Lâ¦\84 â\8a¢ T1 â\9e¡*[n,h] T2 →
-      (T1 â\89\9b T2 â\86\92 â\8a¥) â\86\92 â¦\83G,L,T1â¦\84 >[h] â¦\83G,L,T2â¦\84.
-/3 width=2 by cpms_fwd_cpxs, cpxs_tdneq_fpbg/ qed-.
+lemma cpms_tneqx_fwd_fpbg (h) (n):
+      â\88\80G,L,T1,T2. â\9dªG,Lâ\9d« â\8a¢ T1 â\9e¡*[h,n] T2 →
+      (T1 â\89\9b T2 â\86\92 â\8a¥) â\86\92 â\9dªG,L,T1â\9d« > â\9dªG,L,T2â\9d«.
+/3 width=3 by cpms_fwd_cpxs, cpxs_tneqx_fpbg/ qed-.
 
 lemma fpbg_cpms_trans (h) (n):
-      â\88\80G1,G2,L1,L2,T1,T. â¦\83G1,L1,T1â¦\84 >[h] â¦\83G2,L2,Tâ¦\84 →
-      â\88\80T2. â¦\83G2,L2â¦\84 â\8a¢ T â\9e¡*[n,h] T2 â\86\92 â¦\83G1,L1,T1â¦\84 >[h] â¦\83G2,L2,T2â¦\84.
+      â\88\80G1,G2,L1,L2,T1,T. â\9dªG1,L1,T1â\9d« > â\9dªG2,L2,Tâ\9d« →
+      â\88\80T2. â\9dªG2,L2â\9d« â\8a¢ T â\9e¡*[h,n] T2 â\86\92 â\9dªG1,L1,T1â\9d« > â\9dªG2,L2,T2â\9d«.
 /3 width=5 by fpbg_fpbs_trans, cpms_fwd_fpbs/ qed-.
 
 lemma cpms_fpbg_trans (h) (n):
-      â\88\80G1,L1,T1,T. â¦\83G1,L1â¦\84 â\8a¢ T1 â\9e¡*[n,h] T →
-      â\88\80G2,L2,T2. â¦\83G1,L1,Tâ¦\84 >[h] â¦\83G2,L2,T2â¦\84 â\86\92 â¦\83G1,L1,T1â¦\84 >[h] â¦\83G2,L2,T2â¦\84.
+      â\88\80G1,L1,T1,T. â\9dªG1,L1â\9d« â\8a¢ T1 â\9e¡*[h,n] T →
+      â\88\80G2,L2,T2. â\9dªG1,L1,Tâ\9d« > â\9dªG2,L2,T2â\9d« â\86\92 â\9dªG1,L1,T1â\9d« > â\9dªG2,L2,T2â\9d«.
 /3 width=5 by fpbs_fpbg_trans, cpms_fwd_fpbs/ qed-.
 
 lemma fqup_cpms_fwd_fpbg (h):
-      â\88\80G1,G2,L1,L2,T1,T. â¦\83G1,L1,T1â¦\84 â\8a\90+ â¦\83G2,L2,Tâ¦\84 →
-      â\88\80n,T2. â¦\83G2,L2â¦\84 â\8a¢ T â\9e¡*[n,h] T2 â\86\92 â¦\83G1,L1,T1â¦\84 >[h] â¦\83G2,L2,T2â¦\84.
+      â\88\80G1,G2,L1,L2,T1,T. â\9dªG1,L1,T1â\9d« â¬\82+ â\9dªG2,L2,Tâ\9d« →
+      â\88\80n,T2. â\9dªG2,L2â\9d« â\8a¢ T â\9e¡*[h,n] T2 â\86\92 â\9dªG1,L1,T1â\9d« > â\9dªG2,L2,T2â\9d«.
 /3 width=5 by cpms_fwd_fpbs, fqup_fpbg, fpbg_fpbs_trans/ qed-.
 
-lemma cpm_tdneq_cpm_cpms_tdeq_sym_fwd_fpbg (h) (G) (L) (T1):
-      â\88\80n1,T. â¦\83G,Lâ¦\84 â\8a¢ T1 â\9e¡[n1,h] T → (T1 ≛ T → ⊥) →
-      â\88\80n2,T2. â¦\83G,Lâ¦\84â\8a¢ T â\9e¡*[n2,h] T2 â\86\92 T1 â\89\9b T2 â\86\92 â¦\83G,L,T1â¦\84 >[h] â¦\83G,L,T1â¦\84.
+lemma cpm_tneqx_cpm_cpms_teqx_sym_fwd_fpbg (h) (G) (L) (T1):
+      â\88\80n1,T. â\9dªG,Lâ\9d« â\8a¢ T1 â\9e¡[h,n1] T → (T1 ≛ T → ⊥) →
+      â\88\80n2,T2. â\9dªG,Lâ\9d«â\8a¢ T â\9e¡*[h,n2] T2 â\86\92 T1 â\89\9b T2 â\86\92 â\9dªG,L,T1â\9d« > â\9dªG,L,T1â\9d«.
 #h #G #L #T1 #n1 #T #H1T1 #H2T1 #n2 #T2 #H1T2 #H2T12
-/4 width=7 by cpms_fwd_fpbs, cpm_fpb, fpbs_tdeq_trans, tdeq_sym, ex2_3_intro/
+/4 width=7 by cpms_fwd_fpbs, cpm_fpb, fpbs_teqx_trans, teqx_sym, ex2_3_intro/
 qed-.