update in ground_2, static_2, basic_2, apps_2, alpha_1

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / s_computation / fqus_fqup.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/s_computation/fqus_fqup.ma b/matita/matita/contribs/lambdadelta/static_2/s_computation/fqus_fqup.ma
index f59fd10aac770645ef49e9a87567e84c7ae54bb9..5e9d0b1087264ad559a5e1309a66d62f453e3d13 100644 (file)
--- a/matita/matita/contribs/lambdadelta/static_2/s_computation/fqus_fqup.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/s_computation/fqus_fqup.ma
@@ -19,14 +19,14 @@ include "static_2/s_computation/fqus.ma".
 
 (* Alternative definition with plus-iterated supclosure *********************)
 
-lemma fqup_fqus: â\88\80b,G1,G2,L1,L2,T1,T2. â¦\83G1,L1,T1â¦\84 â¬\82+[b] â¦\83G2,L2,T2â¦\84 â\86\92 â¦\83G1,L1,T1â¦\84 â¬\82*[b] â¦\83G2,L2,T2â¦\84.
+lemma fqup_fqus: â\88\80b,G1,G2,L1,L2,T1,T2. â\9dªG1,L1,T1â\9d« â¬\82+[b] â\9dªG2,L2,T2â\9d« â\86\92 â\9dªG1,L1,T1â\9d« â¬\82*[b] â\9dªG2,L2,T2â\9d«.
 #b #G1 #G2 #L1 #L2 #T1 #T2 #H @(fqup_ind … H) -G2 -L2 -T2
 /3 width=5 by fqus_strap1, fquq_fqus, fqu_fquq/
 qed.
 
 (* Basic_2A1: was: fqus_inv_gen *)
-lemma fqus_inv_fqup: â\88\80b,G1,G2,L1,L2,T1,T2. â¦\83G1,L1,T1â¦\84 â¬\82*[b] â¦\83G2,L2,T2â¦\84 →
-                     â¦\83G1,L1,T1â¦\84 â¬\82+[b] â¦\83G2,L2,T2â¦\84 ∨ (∧∧ G1 = G2 & L1 = L2 & T1 = T2).
+lemma fqus_inv_fqup: â\88\80b,G1,G2,L1,L2,T1,T2. â\9dªG1,L1,T1â\9d« â¬\82*[b] â\9dªG2,L2,T2â\9d« →
+                     â\9dªG1,L1,T1â\9d« â¬\82+[b] â\9dªG2,L2,T2â\9d« ∨ (∧∧ G1 = G2 & L1 = L2 & T1 = T2).
 #b #G1 #G2 #L1 #L2 #T1 #T2 #H @(fqus_ind … H) -G2 -L2 -T2 //
 #G #G2 #L #L2 #T #T2 #_ *
 [ #H2 * /3 width=5 by fqup_strap1, or_introl/
@@ -37,38 +37,38 @@ qed-.
 
 (* Advanced properties ******************************************************)
 
-lemma fqus_strap1_fqu: â\88\80b,G1,G,G2,L1,L,L2,T1,T,T2. â¦\83G1,L1,T1â¦\84 â¬\82*[b] â¦\83G,L,Tâ¦\84 â\86\92 â¦\83G,L,Tâ¦\84 â¬\82[b] â¦\83G2,L2,T2â¦\84 →
-                       â¦\83G1,L1,T1â¦\84 â¬\82+[b] â¦\83G2,L2,T2â¦\84.
+lemma fqus_strap1_fqu: â\88\80b,G1,G,G2,L1,L,L2,T1,T,T2. â\9dªG1,L1,T1â\9d« â¬\82*[b] â\9dªG,L,Tâ\9d« â\86\92 â\9dªG,L,Tâ\9d« â¬\82[b] â\9dªG2,L2,T2â\9d« →
+                       â\9dªG1,L1,T1â\9d« â¬\82+[b] â\9dªG2,L2,T2â\9d«.
 #b #G1 #G #G2 #L1 #L #L2 #T1 #T #T2 #H1 #H2 elim (fqus_inv_fqup … H1) -H1
 [ /2 width=5 by fqup_strap1/
 | * /2 width=1 by fqu_fqup/
 ]
 qed-.
 
-lemma fqus_strap2_fqu: â\88\80b,G1,G,G2,L1,L,L2,T1,T,T2. â¦\83G1,L1,T1â¦\84 â¬\82[b] â¦\83G,L,Tâ¦\84 â\86\92 â¦\83G,L,Tâ¦\84 â¬\82*[b] â¦\83G2,L2,T2â¦\84 →
-                       â¦\83G1,L1,T1â¦\84 â¬\82+[b] â¦\83G2,L2,T2â¦\84.
+lemma fqus_strap2_fqu: â\88\80b,G1,G,G2,L1,L,L2,T1,T,T2. â\9dªG1,L1,T1â\9d« â¬\82[b] â\9dªG,L,Tâ\9d« â\86\92 â\9dªG,L,Tâ\9d« â¬\82*[b] â\9dªG2,L2,T2â\9d« →
+                       â\9dªG1,L1,T1â\9d« â¬\82+[b] â\9dªG2,L2,T2â\9d«.
 #b #G1 #G #G2 #L1 #L #L2 #T1 #T #T2 #H1 #H2 elim (fqus_inv_fqup … H2) -H2
 [ /2 width=5 by fqup_strap2/
 | * /2 width=1 by fqu_fqup/
 ]
 qed-.
 
-lemma fqus_fqup_trans: â\88\80b,G1,G,G2,L1,L,L2,T1,T,T2. â¦\83G1,L1,T1â¦\84 â¬\82*[b] â¦\83G,L,Tâ¦\84 â\86\92 â¦\83G,L,Tâ¦\84 â¬\82+[b] â¦\83G2,L2,T2â¦\84 →
-                       â¦\83G1,L1,T1â¦\84 â¬\82+[b] â¦\83G2,L2,T2â¦\84.
+lemma fqus_fqup_trans: â\88\80b,G1,G,G2,L1,L,L2,T1,T,T2. â\9dªG1,L1,T1â\9d« â¬\82*[b] â\9dªG,L,Tâ\9d« â\86\92 â\9dªG,L,Tâ\9d« â¬\82+[b] â\9dªG2,L2,T2â\9d« →
+                       â\9dªG1,L1,T1â\9d« â¬\82+[b] â\9dªG2,L2,T2â\9d«.
 #b #G1 #G #G2 #L1 #L #L2 #T1 #T #T2 #H1 #H2 @(fqup_ind … H2) -H2 -G2 -L2 -T2
 /2 width=5 by fqus_strap1_fqu, fqup_strap1/
 qed-.
 
-lemma fqup_fqus_trans: â\88\80b,G1,G,G2,L1,L,L2,T1,T,T2. â¦\83G1,L1,T1â¦\84 â¬\82+[b] â¦\83G,L,Tâ¦\84 →
-                       â¦\83G,L,Tâ¦\84 â¬\82*[b] â¦\83G2,L2,T2â¦\84 â\86\92 â¦\83G1,L1,T1â¦\84 â¬\82+[b] â¦\83G2,L2,T2â¦\84.
+lemma fqup_fqus_trans: â\88\80b,G1,G,G2,L1,L,L2,T1,T,T2. â\9dªG1,L1,T1â\9d« â¬\82+[b] â\9dªG,L,Tâ\9d« →
+                       â\9dªG,L,Tâ\9d« â¬\82*[b] â\9dªG2,L2,T2â\9d« â\86\92 â\9dªG1,L1,T1â\9d« â¬\82+[b] â\9dªG2,L2,T2â\9d«.
 #b #G1 #G #G2 #L1 #L #L2 #T1 #T #T2 #H1 @(fqup_ind_dx … H1) -H1 -G1 -L1 -T1
 /3 width=5 by fqus_strap2_fqu, fqup_strap2/
 qed-.
 
 (* Advanced inversion lemmas for plus-iterated supclosure *******************)
 
-lemma fqup_inv_step_sn: â\88\80b,G1,G2,L1,L2,T1,T2. â¦\83G1,L1,T1â¦\84 â¬\82+[b] â¦\83G2,L2,T2â¦\84 →
-                        â\88\83â\88\83G,L,T. â¦\83G1,L1,T1â¦\84 â¬\82[b] â¦\83G,L,Tâ¦\84 & â¦\83G,L,Tâ¦\84 â¬\82*[b] â¦\83G2,L2,T2â¦\84.
+lemma fqup_inv_step_sn: â\88\80b,G1,G2,L1,L2,T1,T2. â\9dªG1,L1,T1â\9d« â¬\82+[b] â\9dªG2,L2,T2â\9d« →
+                        â\88\83â\88\83G,L,T. â\9dªG1,L1,T1â\9d« â¬\82[b] â\9dªG,L,Tâ\9d« & â\9dªG,L,Tâ\9d« â¬\82*[b] â\9dªG2,L2,T2â\9d«.
 #b #G1 #G2 #L1 #L2 #T1 #T2 #H @(fqup_ind_dx … H) -G1 -L1 -T1 /2 width=5 by ex2_3_intro/
 #G1 #G #L1 #L #T1 #T #H1 #_ * /4 width=9 by fqus_strap2, fqu_fquq, ex2_3_intro/
 qed-.