X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Ffle_fqup.ma;h=b50fa075d0df92a3e145acc335fa36f88b8226d4;hb=42705ef31dd3513a998533e02b5f20fb38dd4fb2;hp=6ecf55f0a83a0d703783e6dcc3aeaa36c5e28a73;hpb=a4998de03fae0f36cde8abf17f45ea115845e849;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/fle_fqup.ma b/matita/matita/contribs/lambdadelta/basic_2/static/fle_fqup.ma
index 6ecf55f0a..b50fa075d 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/static/fle_fqup.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/static/fle_fqup.ma
@@ -12,7 +12,7 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/syntax/voids_length.ma".
+include "basic_2/syntax/lveq_length.ma".
 include "basic_2/static/frees_fqup.ma".
 include "basic_2/static/fle.ma".
 
@@ -22,11 +22,29 @@ include "basic_2/static/fle.ma".
 
 lemma fle_refl: bi_reflexive … fle.
 #L #T
-elim (voids_refl L) #n #Hn
 elim (frees_total L T) #f #Hf
 /2 width=8 by sle_refl, ex4_4_intro/
 qed.
 
+lemma fle_sort_length: ∀L1,L2,s1,s2. |L1| = |L2| → ⦃L1, ⋆s1⦄ ⊆ ⦃L2, ⋆s2⦄.
+/3 width=8 by lveq_length_eq, frees_sort, sle_refl, ex4_4_intro/ qed.
+
+lemma fle_gref_length: ∀L1,L2,l1,l2. |L1| = |L2| → ⦃L1, §l1⦄ ⊆ ⦃L2, §l2⦄.
+/3 width=8 by lveq_length_eq, frees_gref, sle_refl, ex4_4_intro/ qed.
+
+lemma fle_shift: ∀L1,L2. |L1| = |L2| →
+                 ∀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
+lapply (lveq_inv_bind … H2L) -H2L #HL
+elim (frees_total L2 V) #g1 #Hg1
+elim (sor_isfin_ex g1 (⫱g2)) /3 width=3 by frees_fwd_isfin, isfin_tl/ #g #Hg #_
+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 fle_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
@@ -39,7 +57,7 @@ qed.
 lemma fle_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 (voids_inv_void_dx_length … H HL12) -H -HL12 #m1 #HL12 #H #_ destruct
+elim (lveq_inv_void_dx_length … H HL12) -H -HL12 #m1 #HL12 #H1 #H2 destruct
 <tls_xn in Hfg2; #Hfg2
 elim (frees_total L2 V2) #g1 #Hg1
 elim (sor_isfin_ex g1 (⫱g2)) /3 width=3 by frees_fwd_isfin, isfin_tl/ #g #Hg #_
@@ -64,3 +82,15 @@ elim (sor_isfin_ex g1 g2) /2 width=3 by frees_fwd_isfin/ #g #Hg #_
 @(ex4_4_intro … g Hf2 … HL12) (**) (* full auto too slow *)
 /4 width=5 by frees_flat, sor_inv_sle_dx, sor_tls, sle_trans/
 qed.
+
+(* Advanced forward lemmas ***************************************************)
+
+lemma fle_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
+elim (frees_total (L1.ⓧ) T1) #g1 #Hg1
+lapply (lsubr_lsubf … Hg1 … Hf1) -Hf1 /2 width=1 by lsubr_unit/ #Hfg1
+/5 width=10 by lsubf_fwd_sle, lveq_bind, sle_trans, ex4_4_intro/ (**) (* full auto too slow *)
+qed-.