update in ground static_2 basic_2 apps_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cpx_fqus.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_fqus.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_fqus.ma
index 29ec0f0517f565ee8e51ca64518eac42649745ea..e6e1037a2a011760b16e6c3bcdfe9916181f9591 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_fqus.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_fqus.ma
@@ -22,9 +22,9 @@ include "basic_2/rt_transition/cpx_lsubr.ma".
 (* Properties on supclosure *************************************************)
 
 lemma fqu_cpx_trans (b):
-      â\88\80G1,G2,L1,L2,T1,T2. â\9dªG1,L1,T1â\9d« â¬\82[b] â\9dªG2,L2,T2â\9d« →
-      â\88\80U2. â\9dªG2,L2â\9d« ⊢ T2 ⬈ U2 →
-      â\88\83â\88\83U1. â\9dªG1,L1â\9d« â\8a¢ T1 â¬\88 U1 & â\9dªG1,L1,U1â\9d« â¬\82[b] â\9dªG2,L2,U2â\9d«.
+      â\88\80G1,G2,L1,L2,T1,T2. â\9d¨G1,L1,T1â\9d© â¬\82[b] â\9d¨G2,L2,T2â\9d© →
+      â\88\80U2. â\9d¨G2,L2â\9d© ⊢ T2 ⬈ U2 →
+      â\88\83â\88\83U1. â\9d¨G1,L1â\9d© â\8a¢ T1 â¬\88 U1 & â\9d¨G1,L1,U1â\9d© â¬\82[b] â\9d¨G2,L2,U2â\9d©.
 #b #G1 #G2 #L1 #L2 #T1 #T2 #H elim H -G1 -G2 -L1 -L2 -T1 -T2
 /3 width=3 by cpx_pair_sn, cpx_bind, cpx_flat, fqu_pair_sn, fqu_bind_dx, fqu_flat_dx, ex2_intro/
 [ #I #G #L2 #V2 #X2 #HVX2
@@ -38,9 +38,9 @@ lemma fqu_cpx_trans (b):
 qed-.
 
 lemma fquq_cpx_trans (b):
-      â\88\80G1,G2,L1,L2,T1,T2. â\9dªG1,L1,T1â\9d« â¬\82⸮[b] â\9dªG2,L2,T2â\9d« →
-      â\88\80U2. â\9dªG2,L2â\9d« ⊢ T2 ⬈ U2 →
-      â\88\83â\88\83U1. â\9dªG1,L1â\9d« â\8a¢ T1 â¬\88 U1 & â\9dªG1,L1,U1â\9d« â¬\82⸮[b] â\9dªG2,L2,U2â\9d«.
+      â\88\80G1,G2,L1,L2,T1,T2. â\9d¨G1,L1,T1â\9d© â¬\82⸮[b] â\9d¨G2,L2,T2â\9d© →
+      â\88\80U2. â\9d¨G2,L2â\9d© ⊢ T2 ⬈ U2 →
+      â\88\83â\88\83U1. â\9d¨G1,L1â\9d© â\8a¢ T1 â¬\88 U1 & â\9d¨G1,L1,U1â\9d© â¬\82⸮[b] â\9d¨G2,L2,U2â\9d©.
 #b #G1 #G2 #L1 #L2 #T1 #T2 #H elim H -H
 [ #HT12 #U2 #HTU2 elim (fqu_cpx_trans … HT12 … HTU2) /3 width=3 by fqu_fquq, ex2_intro/
 | * #H1 #H2 #H3 destruct /2 width=3 by ex2_intro/
@@ -48,9 +48,9 @@ lemma fquq_cpx_trans (b):
 qed-.
 
 lemma fqup_cpx_trans (b):
-      â\88\80G1,G2,L1,L2,T1,T2. â\9dªG1,L1,T1â\9d« â¬\82+[b] â\9dªG2,L2,T2â\9d« →
-      â\88\80U2. â\9dªG2,L2â\9d« ⊢ T2 ⬈ U2 →
-      â\88\83â\88\83U1. â\9dªG1,L1â\9d« â\8a¢ T1 â¬\88 U1 & â\9dªG1,L1,U1â\9d« â¬\82+[b] â\9dªG2,L2,U2â\9d«.
+      â\88\80G1,G2,L1,L2,T1,T2. â\9d¨G1,L1,T1â\9d© â¬\82+[b] â\9d¨G2,L2,T2â\9d© →
+      â\88\80U2. â\9d¨G2,L2â\9d© ⊢ T2 ⬈ U2 →
+      â\88\83â\88\83U1. â\9d¨G1,L1â\9d© â\8a¢ T1 â¬\88 U1 & â\9d¨G1,L1,U1â\9d© â¬\82+[b] â\9d¨G2,L2,U2â\9d©.
 #b #G1 #G2 #L1 #L2 #T1 #T2 #H @(fqup_ind … H) -G2 -L2 -T2
 [ #G2 #L2 #T2 #H12 #U2 #HTU2 elim (fqu_cpx_trans … H12 … HTU2) -T2
   /3 width=3 by fqu_fqup, ex2_intro/
@@ -61,9 +61,9 @@ lemma fqup_cpx_trans (b):
 qed-.
 
 lemma fqus_cpx_trans (b):
-      â\88\80G1,G2,L1,L2,T1,T2. â\9dªG1,L1,T1â\9d« â¬\82*[b] â\9dªG2,L2,T2â\9d« →
-      â\88\80U2. â\9dªG2,L2â\9d« ⊢ T2 ⬈ U2 →
-      â\88\83â\88\83U1. â\9dªG1,L1â\9d« â\8a¢ T1 â¬\88 U1 & â\9dªG1,L1,U1â\9d« â¬\82*[b] â\9dªG2,L2,U2â\9d«.
+      â\88\80G1,G2,L1,L2,T1,T2. â\9d¨G1,L1,T1â\9d© â¬\82*[b] â\9d¨G2,L2,T2â\9d© →
+      â\88\80U2. â\9d¨G2,L2â\9d© ⊢ T2 ⬈ U2 →
+      â\88\83â\88\83U1. â\9d¨G1,L1â\9d© â\8a¢ T1 â¬\88 U1 & â\9d¨G1,L1,U1â\9d© â¬\82*[b] â\9d¨G2,L2,U2â\9d©.
 #b #G1 #G2 #L1 #L2 #T1 #T2 #H elim (fqus_inv_fqup … H) -H
 [ #HT12 #U2 #HTU2 elim (fqup_cpx_trans … HT12 … HTU2) /3 width=3 by fqup_fqus, ex2_intro/
 | * #H1 #H2 #H3 destruct /2 width=3 by ex2_intro/
@@ -71,9 +71,9 @@ lemma fqus_cpx_trans (b):
 qed-.
 
 lemma fqu_cpx_trans_tneqx (b):
-      â\88\80G1,G2,L1,L2,T1,T2. â\9dªG1,L1,T1â\9d« â¬\82[b] â\9dªG2,L2,T2â\9d« →
-      â\88\80U2. â\9dªG2,L2â\9d« ⊢ T2 ⬈ U2 → (T2 ≅ U2 → ⊥) →
-      â\88\83â\88\83U1. â\9dªG1,L1â\9d« â\8a¢ T1 â¬\88 U1 & T1 â\89\85 U1 â\86\92 â\8a¥ & â\9dªG1,L1,U1â\9d« â¬\82[b] â\9dªG2,L2,U2â\9d«.
+      â\88\80G1,G2,L1,L2,T1,T2. â\9d¨G1,L1,T1â\9d© â¬\82[b] â\9d¨G2,L2,T2â\9d© →
+      â\88\80U2. â\9d¨G2,L2â\9d© ⊢ T2 ⬈ U2 → (T2 ≅ U2 → ⊥) →
+      â\88\83â\88\83U1. â\9d¨G1,L1â\9d© â\8a¢ T1 â¬\88 U1 & T1 â\89\85 U1 â\86\92 â\8a¥ & â\9d¨G1,L1,U1â\9d© â¬\82[b] â\9d¨G2,L2,U2â\9d©.
 #b #G1 #G2 #L1 #L2 #T1 #T2 #H elim H -G1 -G2 -L1 -L2 -T1 -T2
 [ #I #G #L #V1 #V2 #HV12 #_ elim (lifts_total V2 𝐔❨1❩)
   #U2 #HVU2 @(ex3_intro … U2)
@@ -104,9 +104,9 @@ lemma fqu_cpx_trans_tneqx (b):
 qed-.
 
 lemma fquq_cpx_trans_tneqx (b):
-      â\88\80G1,G2,L1,L2,T1,T2. â\9dªG1,L1,T1â\9d« â¬\82⸮[b] â\9dªG2,L2,T2â\9d« →
-      â\88\80U2. â\9dªG2,L2â\9d« ⊢ T2 ⬈ U2 → (T2 ≅ U2 → ⊥) →
-      â\88\83â\88\83U1. â\9dªG1,L1â\9d« â\8a¢ T1 â¬\88 U1 & T1 â\89\85 U1 â\86\92 â\8a¥ & â\9dªG1,L1,U1â\9d« â¬\82⸮[b] â\9dªG2,L2,U2â\9d«.
+      â\88\80G1,G2,L1,L2,T1,T2. â\9d¨G1,L1,T1â\9d© â¬\82⸮[b] â\9d¨G2,L2,T2â\9d© →
+      â\88\80U2. â\9d¨G2,L2â\9d© ⊢ T2 ⬈ U2 → (T2 ≅ U2 → ⊥) →
+      â\88\83â\88\83U1. â\9d¨G1,L1â\9d© â\8a¢ T1 â¬\88 U1 & T1 â\89\85 U1 â\86\92 â\8a¥ & â\9d¨G1,L1,U1â\9d© â¬\82⸮[b] â\9d¨G2,L2,U2â\9d©.
 #b #G1 #G2 #L1 #L2 #T1 #T2 #H12 elim H12 -H12
 [ #H12 #U2 #HTU2 #H elim (fqu_cpx_trans_tneqx … H12 … HTU2 H) -T2
   /3 width=4 by fqu_fquq, ex3_intro/
@@ -115,9 +115,9 @@ lemma fquq_cpx_trans_tneqx (b):
 qed-.
 
 lemma fqup_cpx_trans_tneqx (b):
-      â\88\80G1,G2,L1,L2,T1,T2. â\9dªG1,L1,T1â\9d« â¬\82+[b] â\9dªG2,L2,T2â\9d« →
-      â\88\80U2. â\9dªG2,L2â\9d« ⊢ T2 ⬈ U2 → (T2 ≅ U2 → ⊥) →
-      â\88\83â\88\83U1. â\9dªG1,L1â\9d« â\8a¢ T1 â¬\88 U1 & T1 â\89\85 U1 â\86\92 â\8a¥ & â\9dªG1,L1,U1â\9d« â¬\82+[b] â\9dªG2,L2,U2â\9d«.
+      â\88\80G1,G2,L1,L2,T1,T2. â\9d¨G1,L1,T1â\9d© â¬\82+[b] â\9d¨G2,L2,T2â\9d© →
+      â\88\80U2. â\9d¨G2,L2â\9d© ⊢ T2 ⬈ U2 → (T2 ≅ U2 → ⊥) →
+      â\88\83â\88\83U1. â\9d¨G1,L1â\9d© â\8a¢ T1 â¬\88 U1 & T1 â\89\85 U1 â\86\92 â\8a¥ & â\9d¨G1,L1,U1â\9d© â¬\82+[b] â\9d¨G2,L2,U2â\9d©.
 #b #G1 #G2 #L1 #L2 #T1 #T2 #H @(fqup_ind_dx … H) -G1 -L1 -T1
 [ #G1 #L1 #T1 #H12 #U2 #HTU2 #H elim (fqu_cpx_trans_tneqx … H12 … HTU2 H) -T2
   /3 width=4 by fqu_fqup, ex3_intro/
@@ -128,9 +128,9 @@ lemma fqup_cpx_trans_tneqx (b):
 qed-.
 
 lemma fqus_cpx_trans_tneqx (b):
-      â\88\80G1,G2,L1,L2,T1,T2. â\9dªG1,L1,T1â\9d« â¬\82*[b] â\9dªG2,L2,T2â\9d« →
-      â\88\80U2. â\9dªG2,L2â\9d« ⊢ T2 ⬈ U2 → (T2 ≅ U2 → ⊥) →
-      â\88\83â\88\83U1. â\9dªG1,L1â\9d« â\8a¢ T1 â¬\88 U1 & T1 â\89\85 U1 â\86\92 â\8a¥ & â\9dªG1,L1,U1â\9d« â¬\82*[b] â\9dªG2,L2,U2â\9d«.
+      â\88\80G1,G2,L1,L2,T1,T2. â\9d¨G1,L1,T1â\9d© â¬\82*[b] â\9d¨G2,L2,T2â\9d© →
+      â\88\80U2. â\9d¨G2,L2â\9d© ⊢ T2 ⬈ U2 → (T2 ≅ U2 → ⊥) →
+      â\88\83â\88\83U1. â\9d¨G1,L1â\9d© â\8a¢ T1 â¬\88 U1 & T1 â\89\85 U1 â\86\92 â\8a¥ & â\9d¨G1,L1,U1â\9d© â¬\82*[b] â\9d¨G2,L2,U2â\9d©.
 #b #G1 #G2 #L1 #L2 #T1 #T2 #H12 #U2 #HTU2 #H elim (fqus_inv_fqup … H12) -H12
 [ #H12 elim (fqup_cpx_trans_tneqx … H12 … HTU2 H) -T2
   /3 width=4 by fqup_fqus, ex3_intro/