X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fstatic%2Ffsle_fqup.ma;h=34267b7d6f065188a467e6f131e87c33d8449689;hp=04162cc187ec15f653124e1d99597ac2c9e727cf;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hpb=3b7b8afcb429a60d716d5226a5b6ab0d003228b1

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 04162cc18..34267b7d6 100644
--- 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| →
-                  ∀I,T1,T2,V.  ⦃L1.ⓧ,T1⦄ ⊆ ⦃L2.ⓑ{I}V,T2⦄ →
-                  ∀p. ⦃L1.ⓧ,T1⦄ ⊆ ⦃L2,ⓑ{p,I}V.T2⦄.
+                  ∀I,T1,T2,V.  ❪L1.ⓧ,T1❫ ⊆ ❪L2.ⓑ[I]V,T2❫ →
+                  ∀p. ❪L1.ⓧ,T1❫ ⊆ ❪L2,ⓑ[p,I]V.T2❫.
 #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 (sor_inv_sle_dx … Hg) #H0g
 /4 width=10 by frees_bind, lveq_void_sn, sle_tl, sle_trans, ex4_4_intro/
 qed.
 
-lemma fsle_bind_dx_sn: ∀L1,L2,V1,V2. ⦃L1,V1⦄ ⊆ ⦃L2,V2⦄ →
-                       ∀p,I,T2. ⦃L1,V1⦄ ⊆ ⦃L2,ⓑ{p,I}V2.T2⦄.
+lemma fsle_bind_dx_sn: ∀L1,L2,V1,V2. ❪L1,V1❫ ⊆ ❪L2,V2❫ →
+                       ∀p,I,T2. ❪L1,V1❫ ⊆ ❪L2,ⓑ[p,I]V2.T2❫.
 #L1 #L2 #V1 #V2 * #n1 #m1 #f1 #g1 #Hf1 #Hg1 #HL12 #Hfg1 #p #I #T2
 elim (frees_total (L2.ⓧ) T2) #g2 #Hg2
 elim (sor_isfin_ex g1 (⫱g2)) /3 width=3 by frees_fwd_isfin, isfin_tl/ #g #Hg #_
@@ -47,8 +47,8 @@ elim (sor_isfin_ex g1 (⫱g2)) /3 width=3 by frees_fwd_isfin, isfin_tl/ #g #Hg #
 /4 width=5 by frees_bind_void, sor_inv_sle_sn, sor_tls, sle_trans/
 qed.
 
-lemma fsle_bind_dx_dx: ∀L1,L2,T1,T2. ⦃L1,T1⦄ ⊆ ⦃L2.ⓧ,T2⦄ → |L1| ≤ |L2| →
-                       ∀p,I,V2. ⦃L1,T1⦄ ⊆ ⦃L2,ⓑ{p,I}V2.T2⦄.
+lemma fsle_bind_dx_dx: ∀L1,L2,T1,T2. ❪L1,T1❫ ⊆ ❪L2.ⓧ,T2❫ → |L1| ≤ |L2| →
+                       ∀p,I,V2. ❪L1,T1❫ ⊆ ❪L2,ⓑ[p,I]V2.T2❫.
 #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
 <tls_xn in Hfg2; #Hfg2
@@ -58,8 +58,8 @@ elim (sor_isfin_ex g1 (⫱g2)) /3 width=3 by frees_fwd_isfin, isfin_tl/ #g #Hg #
 /4 width=5 by frees_bind_void, sor_inv_sle_dx, sor_tls, sle_trans/
 qed.
 
-lemma fsle_flat_dx_sn: ∀L1,L2,V1,V2. ⦃L1,V1⦄ ⊆ ⦃L2,V2⦄ →
-                       ∀I,T2. ⦃L1,V1⦄ ⊆ ⦃L2,ⓕ{I}V2.T2⦄.
+lemma fsle_flat_dx_sn: ∀L1,L2,V1,V2. ❪L1,V1❫ ⊆ ❪L2,V2❫ →
+                       ∀I,T2. ❪L1,V1❫ ⊆ ❪L2,ⓕ[I]V2.T2❫.
 #L1 #L2 #V1 #V2 * #n1 #m1 #f1 #g1 #Hf1 #Hg1 #HL12 #Hfg1 #I #T2
 elim (frees_total L2 T2) #g2 #Hg2
 elim (sor_isfin_ex g1 g2) /2 width=3 by frees_fwd_isfin/ #g #Hg #_
@@ -67,8 +67,8 @@ elim (sor_isfin_ex g1 g2) /2 width=3 by frees_fwd_isfin/ #g #Hg #_
 /4 width=5 by frees_flat, sor_inv_sle_sn, sor_tls, sle_trans/
 qed.
 
-lemma fsle_flat_dx_dx: ∀L1,L2,T1,T2. ⦃L1,T1⦄ ⊆ ⦃L2,T2⦄ →
-                       ∀I,V2. ⦃L1,T1⦄ ⊆ ⦃L2,ⓕ{I}V2.T2⦄.
+lemma fsle_flat_dx_dx: ∀L1,L2,T1,T2. ❪L1,T1❫ ⊆ ❪L2,T2❫ →
+                       ∀I,V2. ❪L1,T1❫ ⊆ ❪L2,ⓕ[I]V2.T2❫.
 #L1 #L2 #T1 #T2 * #n1 #m1 #f2 #g2 #Hf2 #Hg2 #HL12 #Hfg2 #I #V2
 elim (frees_total L2 V2) #g1 #Hg1
 elim (sor_isfin_ex g1 g2) /2 width=3 by frees_fwd_isfin/ #g #Hg #_
@@ -78,8 +78,8 @@ qed.
 
 (* Advanced forward lemmas ***************************************************)
 
-lemma fsle_fwd_pair_sn: ∀I1,I2,L1,L2,V1,V2,T1,T2. ⦃L1.ⓑ{I1}V1,T1⦄ ⊆ ⦃L2.ⓑ{I2}V2,T2⦄ →
-                        ⦃L1.ⓧ,T1⦄ ⊆ ⦃L2.ⓑ{I2}V2,T2⦄.
+lemma fsle_fwd_pair_sn: ∀I1,I2,L1,L2,V1,V2,T1,T2. ❪L1.ⓑ[I1]V1,T1❫ ⊆ ❪L2.ⓑ[I2]V2,T2❫ →
+                        ❪L1.ⓧ,T1❫ ⊆ ❪L2.ⓑ[I2]V2,T2❫.
 #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