update in ground static_2 basic_2 apps_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lprs_lpr.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lprs_lpr.ma
index 0edc5d3b17c0b75008dd72ba159b8be6618e16a0..8b6c42f09e21ffed46f84bd54f5fe363be731e9e 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lprs_lpr.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lprs_lpr.ma
@@ -21,33 +21,33 @@ include "basic_2/rt_computation/lprs_tc.ma".
 (* Basic_2A1: was: lprs_ind_dx *)
 lemma lprs_ind_sn (h) (G) (L2):
       ∀Q:predicate lenv. Q L2 →
-      (â\88\80L1,L. â\9dªG,L1â\9d« â\8a¢ â\9e¡[h,0] L â\86\92 â\9dªG,Lâ\9d« ⊢ ➡*[h,0] L2 → Q L → Q L1) →
-      â\88\80L1. â\9dªG,L1â\9d« ⊢ ➡*[h,0] L2 → Q L1.
+      (â\88\80L1,L. â\9d¨G,L1â\9d© â\8a¢ â\9e¡[h,0] L â\86\92 â\9d¨G,Lâ\9d© ⊢ ➡*[h,0] L2 → Q L → Q L1) →
+      â\88\80L1. â\9d¨G,L1â\9d© ⊢ ➡*[h,0] L2 → Q L1.
 /4 width=8 by lprs_inv_CTC, lprs_CTC, lpr_cprs_trans, cpr_refl, lex_CTC_ind_sn/ qed-.
 
 (* Basic_2A1: was: lprs_ind *)
 lemma lprs_ind_dx (h) (G) (L1):
       ∀Q:predicate lenv. Q L1 →
-      (â\88\80L,L2. â\9dªG,L1â\9d« â\8a¢ â\9e¡*[h,0] L â\86\92 â\9dªG,Lâ\9d« ⊢ ➡[h,0] L2 → Q L → Q L2) →
-      â\88\80L2. â\9dªG,L1â\9d« ⊢ ➡*[h,0] L2 → Q L2.
+      (â\88\80L,L2. â\9d¨G,L1â\9d© â\8a¢ â\9e¡*[h,0] L â\86\92 â\9d¨G,Lâ\9d© ⊢ ➡[h,0] L2 → Q L → Q L2) →
+      â\88\80L2. â\9d¨G,L1â\9d© ⊢ ➡*[h,0] L2 → Q L2.
 /4 width=8 by lprs_inv_CTC, lprs_CTC, lpr_cprs_trans, cpr_refl, lex_CTC_ind_dx/ qed-.
 
 (* Properties with extended rt-transition for full local environments *******)
 
 lemma lpr_lprs (h) (G):
-      â\88\80L1,L2. â\9dªG,L1â\9d« â\8a¢ â\9e¡[h,0] L2 â\86\92 â\9dªG,L1â\9d« ⊢ ➡*[h,0] L2.
+      â\88\80L1,L2. â\9d¨G,L1â\9d© â\8a¢ â\9e¡[h,0] L2 â\86\92 â\9d¨G,L1â\9d© ⊢ ➡*[h,0] L2.
 /4 width=3 by lprs_CTC, lpr_cprs_trans, lex_CTC_inj/ qed.
 
 (* Basic_2A1: was: lprs_strap2 *)
 lemma lprs_step_sn (h) (G):
-      â\88\80L1,L. â\9dªG,L1â\9d« ⊢ ➡[h,0] L →
-      â\88\80L2.â\9dªG,Lâ\9d« â\8a¢ â\9e¡*[h,0] L2 â\86\92 â\9dªG,L1â\9d« ⊢ ➡*[h,0] L2.
+      â\88\80L1,L. â\9d¨G,L1â\9d© ⊢ ➡[h,0] L →
+      â\88\80L2.â\9d¨G,Lâ\9d© â\8a¢ â\9e¡*[h,0] L2 â\86\92 â\9d¨G,L1â\9d© ⊢ ➡*[h,0] L2.
 /4 width=3 by lprs_inv_CTC, lprs_CTC, lpr_cprs_trans, lex_CTC_step_sn/ qed-.
 
 (* Basic_2A1: was: lpxs_strap1 *)
 lemma lprs_step_dx (h) (G):
-      â\88\80L1,L. â\9dªG,L1â\9d« ⊢ ➡*[h,0] L →
-      â\88\80L2. â\9dªG,Lâ\9d« â\8a¢ â\9e¡[h,0] L2 â\86\92 â\9dªG,L1â\9d« ⊢ ➡*[h,0] L2.
+      â\88\80L1,L. â\9d¨G,L1â\9d© ⊢ ➡*[h,0] L →
+      â\88\80L2. â\9d¨G,Lâ\9d© â\8a¢ â\9e¡[h,0] L2 â\86\92 â\9d¨G,L1â\9d© ⊢ ➡*[h,0] L2.
 /4 width=3 by lprs_inv_CTC, lprs_CTC, lpr_cprs_trans, lex_CTC_step_dx/ qed-.
 
 lemma lprs_strip (h) (G):