update in ground static_2 basic_2 apps_2

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / static / fsle_fqup.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/static/fsle_fqup.ma b/matita/matita/contribs/lambdadelta/static_2/static/fsle_fqup.ma
index c49ebe63da3cc3ac04532974a51ad3b20f0f00cc..a9b3e6928e7adb5d9fc6dc03305a507fb538f5db 100644 (file)
--- a/matita/matita/contribs/lambdadelta/static_2/static/fsle_fqup.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/static/fsle_fqup.ma
@@ -26,8 +26,8 @@ elim (frees_total L T) #f #Hf
 qed.
 
 lemma fsle_shift: ∀L1,L2. |L1| = |L2| →
-                  â\88\80I,T1,T2,V.  â\9dªL1.â\93§,T1â\9d« â\8a\86 â\9dªL2.â\93\91[I]V,T2â\9d« →
-                  â\88\80p. â\9dªL1.â\93§,T1â\9d« â\8a\86 â\9dªL2,â\93\91[p,I]V.T2â\9d«.
+                  â\88\80I,T1,T2,V.  â\9d¨L1.â\93§,T1â\9d© â\8a\86 â\9d¨L2.â\93\91[I]V,T2â\9d© →
+                  â\88\80p. â\9d¨L1.â\93§,T1â\9d© â\8a\86 â\9d¨L2,â\93\91[p,I]V.T2â\9d©.
 #L1 #L2 #H1L #I #T1 #T2 #V
 * #n #m #f2 #g2 #Hf2 #Hg2 #H2L #Hfg2 #p
 elim (lveq_inj_length … H2L) // -H1L #H1 #H2 destruct
@@ -38,8 +38,8 @@ lapply (pr_sor_inv_sle_dx … Hg) #H0g
 /4 width=10 by frees_bind, lveq_void_sn, pr_sle_tl, pr_sle_trans, ex4_4_intro/
 qed.
 
-lemma fsle_bind_dx_sn: â\88\80L1,L2,V1,V2. â\9dªL1,V1â\9d« â\8a\86 â\9dªL2,V2â\9d« →
-                       â\88\80p,I,T2. â\9dªL1,V1â\9d« â\8a\86 â\9dªL2,â\93\91[p,I]V2.T2â\9d«.
+lemma fsle_bind_dx_sn: â\88\80L1,L2,V1,V2. â\9d¨L1,V1â\9d© â\8a\86 â\9d¨L2,V2â\9d© →
+                       â\88\80p,I,T2. â\9d¨L1,V1â\9d© â\8a\86 â\9d¨L2,â\93\91[p,I]V2.T2â\9d©.
 #L1 #L2 #V1 #V2 * #n1 #m1 #f1 #g1 #Hf1 #Hg1 #HL12 #Hfg1 #p #I #T2
 elim (frees_total (L2.ⓧ) T2) #g2 #Hg2
 elim (pr_sor_isf_bi g1 (⫰g2)) /3 width=3 by frees_fwd_isfin, pr_isf_tl/ #g #Hg #_
@@ -47,8 +47,8 @@ elim (pr_sor_isf_bi g1 (⫰g2)) /3 width=3 by frees_fwd_isfin, pr_isf_tl/ #g #Hg
 /4 width=5 by frees_bind_void, pr_sor_inv_sle_sn, pr_sor_tls, pr_sle_trans/
 qed.
 
-lemma fsle_bind_dx_dx: â\88\80L1,L2,T1,T2. â\9dªL1,T1â\9d« â\8a\86 â\9dªL2.â\93§,T2â\9d« → |L1| ≤ |L2| →
-                       â\88\80p,I,V2. â\9dªL1,T1â\9d« â\8a\86 â\9dªL2,â\93\91[p,I]V2.T2â\9d«.
+lemma fsle_bind_dx_dx: â\88\80L1,L2,T1,T2. â\9d¨L1,T1â\9d© â\8a\86 â\9d¨L2.â\93§,T2â\9d© → |L1| ≤ |L2| →
+                       â\88\80p,I,V2. â\9d¨L1,T1â\9d© â\8a\86 â\9d¨L2,â\93\91[p,I]V2.T2â\9d©.
 #L1 #L2 #T1 #T2 * #n1 #x1 #f2 #g2 #Hf2 #Hg2 #H #Hfg2 #HL12 #p #I #V2
 elim (lveq_inv_void_dx_length … H HL12) -H -HL12 #m1 #HL12 #H1 #H2 destruct
 <pr_tls_swap in Hfg2; #Hfg2
@@ -58,8 +58,8 @@ elim (pr_sor_isf_bi g1 (⫰g2)) /3 width=3 by frees_fwd_isfin, pr_isf_tl/ #g #Hg
 /4 width=5 by frees_bind_void, pr_sor_inv_sle_dx, pr_sor_tls, pr_sle_trans/
 qed.
 
-lemma fsle_flat_dx_sn: â\88\80L1,L2,V1,V2. â\9dªL1,V1â\9d« â\8a\86 â\9dªL2,V2â\9d« →
-                       â\88\80I,T2. â\9dªL1,V1â\9d« â\8a\86 â\9dªL2,â\93\95[I]V2.T2â\9d«.
+lemma fsle_flat_dx_sn: â\88\80L1,L2,V1,V2. â\9d¨L1,V1â\9d© â\8a\86 â\9d¨L2,V2â\9d© →
+                       â\88\80I,T2. â\9d¨L1,V1â\9d© â\8a\86 â\9d¨L2,â\93\95[I]V2.T2â\9d©.
 #L1 #L2 #V1 #V2 * #n1 #m1 #f1 #g1 #Hf1 #Hg1 #HL12 #Hfg1 #I #T2
 elim (frees_total L2 T2) #g2 #Hg2
 elim (pr_sor_isf_bi g1 g2) /2 width=3 by frees_fwd_isfin/ #g #Hg #_
@@ -67,8 +67,8 @@ elim (pr_sor_isf_bi g1 g2) /2 width=3 by frees_fwd_isfin/ #g #Hg #_
 /4 width=5 by frees_flat, pr_sor_inv_sle_sn, pr_sor_tls, pr_sle_trans/
 qed.
 
-lemma fsle_flat_dx_dx: â\88\80L1,L2,T1,T2. â\9dªL1,T1â\9d« â\8a\86 â\9dªL2,T2â\9d« →
-                       â\88\80I,V2. â\9dªL1,T1â\9d« â\8a\86 â\9dªL2,â\93\95[I]V2.T2â\9d«.
+lemma fsle_flat_dx_dx: â\88\80L1,L2,T1,T2. â\9d¨L1,T1â\9d© â\8a\86 â\9d¨L2,T2â\9d© →
+                       â\88\80I,V2. â\9d¨L1,T1â\9d© â\8a\86 â\9d¨L2,â\93\95[I]V2.T2â\9d©.
 #L1 #L2 #T1 #T2 * #n1 #m1 #f2 #g2 #Hf2 #Hg2 #HL12 #Hfg2 #I #V2
 elim (frees_total L2 V2) #g1 #Hg1
 elim (pr_sor_isf_bi g1 g2) /2 width=3 by frees_fwd_isfin/ #g #Hg #_
@@ -78,8 +78,8 @@ qed.
 
 (* Advanced forward lemmas ***************************************************)
 
-lemma fsle_fwd_pair_sn: â\88\80I1,I2,L1,L2,V1,V2,T1,T2. â\9dªL1.â\93\91[I1]V1,T1â\9d« â\8a\86 â\9dªL2.â\93\91[I2]V2,T2â\9d« →
-                        â\9dªL1.â\93§,T1â\9d« â\8a\86 â\9dªL2.â\93\91[I2]V2,T2â\9d«.
+lemma fsle_fwd_pair_sn: â\88\80I1,I2,L1,L2,V1,V2,T1,T2. â\9d¨L1.â\93\91[I1]V1,T1â\9d© â\8a\86 â\9d¨L2.â\93\91[I2]V2,T2â\9d© →
+                        â\9d¨L1.â\93§,T1â\9d© â\8a\86 â\9d¨L2.â\93\91[I2]V2,T2â\9d©.
 #I1 #I2 #L1 #L2 #V1 #V2 #T1 #T2 *
 #n1 #n2 #f1 #f2 #Hf1 #Hf2 #HL12 #Hf12
 elim (lveq_inv_pair_pair … HL12) -HL12 #HL12 #H1 #H2 destruct