update in ground_2, static_2, basic_2, apps_2, alpha_1

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lprs_cprs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lprs_cprs.ma
index 1706ae98ea926422c2355c0bcc9f71977bf34c0c..fafeabe1e754ff81895f356f4e0817d857bb1c1b 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lprs_cprs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lprs_cprs.ma
@@ -20,16 +20,16 @@ include "basic_2/rt_computation/lprs_cpms.ma".
 (* Advanced properties ******************************************************)
 
 (* Basic_2A1: was: lprs_pair2 *)
-lemma lprs_pair_dx (h) (G): â\88\80L1,L2. â¦\83G,L1â¦\84 ⊢ ➡*[h] L2 →
-                            â\88\80V1,V2. â¦\83G,L2â¦\84 ⊢ V1 ➡*[h] V2 →
-                            â\88\80I. â¦\83G,L1.â\93\91{I}V1â¦\84 â\8a¢ â\9e¡*[h] L2.â\93\91{I}V2.
+lemma lprs_pair_dx (h) (G): â\88\80L1,L2. â\9dªG,L1â\9d« ⊢ ➡*[h] L2 →
+                            â\88\80V1,V2. â\9dªG,L2â\9d« ⊢ V1 ➡*[h] V2 →
+                            â\88\80I. â\9dªG,L1.â\93\91[I]V1â\9d« â\8a¢ â\9e¡*[h] L2.â\93\91[I]V2.
 /3 width=3 by lprs_pair, lprs_cpms_trans/ qed.
 
 (* Properties on context-sensitive parallel r-computation for terms *********)
 
-lemma lprs_cprs_conf_dx (h) (G): â\88\80L0.â\88\80T0,T1:term. â¦\83G,L0â¦\84 ⊢ T0 ➡*[h] T1 →
-                                 â\88\80L1. â¦\83G,L0â¦\84 ⊢ ➡*[h] L1 →
-                                 â\88\83â\88\83T. â¦\83G,L1â¦\84 â\8a¢ T1 â\9e¡*[h] T & â¦\83G,L1â¦\84 ⊢ T0 ➡*[h] T.
+lemma lprs_cprs_conf_dx (h) (G): â\88\80L0.â\88\80T0,T1:term. â\9dªG,L0â\9d« ⊢ T0 ➡*[h] T1 →
+                                 â\88\80L1. â\9dªG,L0â\9d« ⊢ ➡*[h] L1 →
+                                 â\88\83â\88\83T. â\9dªG,L1â\9d« â\8a¢ T1 â\9e¡*[h] T & â\9dªG,L1â\9d« ⊢ T0 ➡*[h] T.
 #h #G #L0 #T0 #T1 #HT01 #L1 #H
 @(lprs_ind_dx … H) -L1 /2 width=3 by ex2_intro/
 #L #L1 #_ #HL1 * #T #HT1 #HT0 -L0
@@ -39,21 +39,21 @@ elim (cprs_conf … HT2 … HT3) -T
 /3 width=5 by cprs_trans, ex2_intro/
 qed-.
 
-lemma lprs_cpr_conf_dx (h) (G): â\88\80L0. â\88\80T0,T1:term. â¦\83G,L0â¦\84 ⊢ T0 ➡[h] T1 →
-                                â\88\80L1. â¦\83G,L0â¦\84 ⊢ ➡*[h] L1 →
-                                â\88\83â\88\83T. â¦\83G,L1â¦\84 â\8a¢ T1 â\9e¡*[h] T & â¦\83G,L1â¦\84 ⊢ T0 ➡*[h] T.
+lemma lprs_cpr_conf_dx (h) (G): â\88\80L0. â\88\80T0,T1:term. â\9dªG,L0â\9d« ⊢ T0 ➡[h] T1 →
+                                â\88\80L1. â\9dªG,L0â\9d« ⊢ ➡*[h] L1 →
+                                â\88\83â\88\83T. â\9dªG,L1â\9d« â\8a¢ T1 â\9e¡*[h] T & â\9dªG,L1â\9d« ⊢ T0 ➡*[h] T.
 /3 width=3 by lprs_cprs_conf_dx, cpm_cpms/ qed-.
 
 (* Note: this can be proved on its own using lprs_ind_sn *)
-lemma lprs_cprs_conf_sn (h) (G): â\88\80L0. â\88\80T0,T1:term. â¦\83G,L0â¦\84 ⊢ T0 ➡*[h] T1 →
-                                 â\88\80L1. â¦\83G,L0â¦\84 ⊢ ➡*[h] L1 →
-                                 â\88\83â\88\83T. â¦\83G,L0â¦\84 â\8a¢ T1 â\9e¡*[h] T & â¦\83G,L1â¦\84 ⊢ T0 ➡*[h] T.
+lemma lprs_cprs_conf_sn (h) (G): â\88\80L0. â\88\80T0,T1:term. â\9dªG,L0â\9d« ⊢ T0 ➡*[h] T1 →
+                                 â\88\80L1. â\9dªG,L0â\9d« ⊢ ➡*[h] L1 →
+                                 â\88\83â\88\83T. â\9dªG,L0â\9d« â\8a¢ T1 â\9e¡*[h] T & â\9dªG,L1â\9d« ⊢ T0 ➡*[h] T.
 #h #G #L0 #T0 #T1 #HT01 #L1 #HL01
 elim (lprs_cprs_conf_dx … HT01 … HL01) -HT01
 /3 width=3 by lprs_cpms_trans, ex2_intro/
 qed-.
 
-lemma lprs_cpr_conf_sn (h) (G): â\88\80L0. â\88\80T0,T1:term. â¦\83G,L0â¦\84 ⊢ T0 ➡[h] T1 →
-                                â\88\80L1. â¦\83G,L0â¦\84 ⊢ ➡*[h] L1 →
-                                â\88\83â\88\83T. â¦\83G,L0â¦\84 â\8a¢ T1 â\9e¡*[h] T & â¦\83G,L1â¦\84 ⊢ T0 ➡*[h] T.
+lemma lprs_cpr_conf_sn (h) (G): â\88\80L0. â\88\80T0,T1:term. â\9dªG,L0â\9d« ⊢ T0 ➡[h] T1 →
+                                â\88\80L1. â\9dªG,L0â\9d« ⊢ ➡*[h] L1 →
+                                â\88\83â\88\83T. â\9dªG,L0â\9d« â\8a¢ T1 â\9e¡*[h] T & â\9dªG,L1â\9d« ⊢ T0 ➡*[h] T.
 /3 width=3 by lprs_cprs_conf_sn, cpm_cpms/ qed-.