update in ground_2, static_2, basic_2, apps_2, alpha_1

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg.ma
index f975e1b2f4cfa1161899a504370c4c21e0019441..2d33bdf492d5d1afe00a67e0f562dce3ea8d5e4d 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg.ma
@@ -21,45 +21,45 @@ include "basic_2/rt_computation/fpbs.ma".
 
 definition fpbg: ∀h. tri_relation genv lenv term ≝
                  λh,G1,L1,T1,G2,L2,T2.
-                 â\88\83â\88\83G,L,T. â¦\83G1,L1,T1â¦\84 â\89»[h] â¦\83G,L,Tâ¦\84 & â¦\83G,L,Tâ¦\84 â\89¥[h] â¦\83G2,L2,T2â¦\84.
+                 â\88\83â\88\83G,L,T. â\9dªG1,L1,T1â\9d« â\89»[h] â\9dªG,L,Tâ\9d« & â\9dªG,L,Tâ\9d« â\89¥[h] â\9dªG2,L2,T2â\9d«.
 
 interpretation "proper parallel rst-computation (closure)"
    'PRedSubTyStarProper h G1 L1 T1 G2 L2 T2 = (fpbg h G1 L1 T1 G2 L2 T2).
 
 (* Basic properties *********************************************************)
 
-lemma fpb_fpbg: â\88\80h,G1,G2,L1,L2,T1,T2. â¦\83G1,L1,T1â¦\84 â\89»[h] â¦\83G2,L2,T2â¦\84 →
-                â¦\83G1,L1,T1â¦\84 >[h] â¦\83G2,L2,T2â¦\84.
+lemma fpb_fpbg: â\88\80h,G1,G2,L1,L2,T1,T2. â\9dªG1,L1,T1â\9d« â\89»[h] â\9dªG2,L2,T2â\9d« →
+                â\9dªG1,L1,T1â\9d« >[h] â\9dªG2,L2,T2â\9d«.
 /2 width=5 by ex2_3_intro/ qed.
 
 lemma fpbg_fpbq_trans: ∀h,G1,G,G2,L1,L,L2,T1,T,T2.
-                       â¦\83G1,L1,T1â¦\84 >[h] â¦\83G,L,Tâ¦\84 â\86\92 â¦\83G,L,Tâ¦\84 â\89½[h] â¦\83G2,L2,T2â¦\84 →
-                       â¦\83G1,L1,T1â¦\84 >[h] â¦\83G2,L2,T2â¦\84.
+                       â\9dªG1,L1,T1â\9d« >[h] â\9dªG,L,Tâ\9d« â\86\92 â\9dªG,L,Tâ\9d« â\89½[h] â\9dªG2,L2,T2â\9d« →
+                       â\9dªG1,L1,T1â\9d« >[h] â\9dªG2,L2,T2â\9d«.
 #h #G1 #G #G2 #L1 #L #L2 #T1 #T #T2 *
 /3 width=9 by fpbs_strap1, ex2_3_intro/
 qed-.
 
 lemma fpbg_fqu_trans (h): ∀G1,G,G2,L1,L,L2,T1,T,T2.
-                          â¦\83G1,L1,T1â¦\84 >[h] â¦\83G,L,Tâ¦\84 â\86\92 â¦\83G,L,Tâ¦\84 â¬\82 â¦\83G2,L2,T2â¦\84 →
-                          â¦\83G1,L1,T1â¦\84 >[h] â¦\83G2,L2,T2â¦\84.
+                          â\9dªG1,L1,T1â\9d« >[h] â\9dªG,L,Tâ\9d« â\86\92 â\9dªG,L,Tâ\9d« â¬\82 â\9dªG2,L2,T2â\9d« →
+                          â\9dªG1,L1,T1â\9d« >[h] â\9dªG2,L2,T2â\9d«.
 #h #G1 #G #G2 #L1 #L #L2 #T1 #T #T2 #H1 #H2
 /4 width=5 by fpbg_fpbq_trans, fpbq_fquq, fqu_fquq/
 qed-.
 
 (* Note: this is used in the closure proof *)
-lemma fpbg_fpbs_trans: â\88\80h,G,G2,L,L2,T,T2. â¦\83G,L,Tâ¦\84 â\89¥[h] â¦\83G2,L2,T2â¦\84 →
-                       â\88\80G1,L1,T1. â¦\83G1,L1,T1â¦\84 >[h] â¦\83G,L,Tâ¦\84 â\86\92 â¦\83G1,L1,T1â¦\84 >[h] â¦\83G2,L2,T2â¦\84.
+lemma fpbg_fpbs_trans: â\88\80h,G,G2,L,L2,T,T2. â\9dªG,L,Tâ\9d« â\89¥[h] â\9dªG2,L2,T2â\9d« →
+                       â\88\80G1,L1,T1. â\9dªG1,L1,T1â\9d« >[h] â\9dªG,L,Tâ\9d« â\86\92 â\9dªG1,L1,T1â\9d« >[h] â\9dªG2,L2,T2â\9d«.
 #h #G #G2 #L #L2 #T #T2 #H @(fpbs_ind_dx … H) -G -L -T /3 width=5 by fpbg_fpbq_trans/
 qed-.
 
 (* Basic_2A1: uses: fpbg_fleq_trans *)
-lemma fpbg_feqx_trans: â\88\80h,G1,G,L1,L,T1,T. â¦\83G1,L1,T1â¦\84 >[h] â¦\83G,L,Tâ¦\84 →
-                       â\88\80G2,L2,T2. â¦\83G,L,Tâ¦\84 â\89\9b â¦\83G2,L2,T2â¦\84 â\86\92 â¦\83G1,L1,T1â¦\84 >[h] â¦\83G2,L2,T2â¦\84.
+lemma fpbg_feqx_trans: â\88\80h,G1,G,L1,L,T1,T. â\9dªG1,L1,T1â\9d« >[h] â\9dªG,L,Tâ\9d« →
+                       â\88\80G2,L2,T2. â\9dªG,L,Tâ\9d« â\89\9b â\9dªG2,L2,T2â\9d« â\86\92 â\9dªG1,L1,T1â\9d« >[h] â\9dªG2,L2,T2â\9d«.
 /3 width=5 by fpbg_fpbq_trans, fpbq_feqx/ qed-.
 
 (* Properties with t-bound rt-transition for terms **************************)
 
 lemma cpm_tneqx_cpm_fpbg (h) (G) (L):
-                         â\88\80n1,T1,T. â¦\83G,Lâ¦\84 ⊢ T1 ➡[n1,h] T → (T1 ≛ T → ⊥) →
-                         â\88\80n2,T2. â¦\83G,Lâ¦\84 â\8a¢ T â\9e¡[n2,h] T2 â\86\92 â¦\83G,L,T1â¦\84 >[h] â¦\83G,L,T2â¦\84.
+                         â\88\80n1,T1,T. â\9dªG,Lâ\9d« ⊢ T1 ➡[n1,h] T → (T1 ≛ T → ⊥) →
+                         â\88\80n2,T2. â\9dªG,Lâ\9d« â\8a¢ T â\9e¡[n2,h] T2 â\86\92 â\9dªG,L,T1â\9d« >[h] â\9dªG,L,T2â\9d«.
 /4 width=5 by fpbq_fpbs, cpm_fpbq, cpm_fpb, ex2_3_intro/ qed.