update in ground static_2 basic_2 apps_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 d63c89909fc06765d46b6f4c2c1ea54b10d7f28b..9a6f712d4c62e773682079ee71b6443f888bcd97 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
@@ -22,28 +22,28 @@ include "basic_2/rt_computation/cpms_fpbs.ma".
 (* Forward lemmas with proper parallel rst-computation for closures *********)
 
 lemma cpms_tneqx_fwd_fpbg (h) (n):
-      â\88\80G,L,T1,T2. â\9dªG,Lâ\9d« ⊢ T1 ➡*[h,n] T2 →
-      (T1 â\89\85 T2 â\86\92 â\8a¥) â\86\92 â\9dªG,L,T1â\9d« > â\9dªG,L,T2â\9d«.
+      â\88\80G,L,T1,T2. â\9d¨G,Lâ\9d© ⊢ T1 ➡*[h,n] T2 →
+      (T1 â\89\85 T2 â\86\92 â\8a¥) â\86\92 â\9d¨G,L,T1â\9d© > â\9d¨G,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\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«.
+      â\88\80G1,G2,L1,L2,T1,T. â\9d¨G1,L1,T1â\9d© > â\9d¨G2,L2,Tâ\9d© →
+      â\88\80T2. â\9d¨G2,L2â\9d© â\8a¢ T â\9e¡*[h,n] T2 â\86\92 â\9d¨G1,L1,T1â\9d© > â\9d¨G2,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\9dªG1,L1â\9d« ⊢ T1 ➡*[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«.
+      â\88\80G1,L1,T1,T. â\9d¨G1,L1â\9d© ⊢ T1 ➡*[h,n] T →
+      â\88\80G2,L2,T2. â\9d¨G1,L1,Tâ\9d© > â\9d¨G2,L2,T2â\9d© â\86\92 â\9d¨G1,L1,T1â\9d© > â\9d¨G2,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\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«.
+      â\88\80G1,G2,L1,L2,T1,T. â\9d¨G1,L1,T1â\9d© â¬\82+ â\9d¨G2,L2,Tâ\9d© →
+      â\88\80n,T2. â\9d¨G2,L2â\9d© â\8a¢ T â\9e¡*[h,n] T2 â\86\92 â\9d¨G1,L1,T1â\9d© > â\9d¨G2,L2,T2â\9d©.
 /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):
-      â\88\80n1,T. â\9dªG,Lâ\9d« ⊢ T1 ➡[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\85 T2 â\86\92 â\9dªG,L,T1â\9d« > â\9dªG,L,T1â\9d«.
+      â\88\80n1,T. â\9d¨G,Lâ\9d© ⊢ T1 ➡[h,n1] T → (T1 ≅ T → ⊥) →
+      â\88\80n2,T2. â\9d¨G,Lâ\9d©â\8a¢ T â\9e¡*[h,n2] T2 â\86\92 T1 â\89\85 T2 â\86\92 â\9d¨G,L,T1â\9d© > â\9d¨G,L,T1â\9d©.
 #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-.