X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Faaa_fqus.ma;h=812bcc3656984c1fb38363dd1e635f01346f699b;hp=f9bd61ada9e118d0016ab869e84ef7836e4740a0;hb=222044da28742b24584549ba86b1805a87def070;hpb=5d5461cffbec45aebc0db0fe2fcb072592a90efe

diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/aaa_fqus.ma b/matita/matita/contribs/lambdadelta/basic_2/static/aaa_fqus.ma
index f9bd61ada..812bcc365 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/static/aaa_fqus.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/static/aaa_fqus.ma
@@ -12,52 +12,52 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/substitution/fqus_alt.ma".
-include "basic_2/static/aaa_lift.ma".
+include "basic_2/s_computation/fqus_fqup.ma".
+include "basic_2/static/aaa_drops.ma".
 
 (* ATONIC ARITY ASSIGNMENT ON TERMS *****************************************)
 
 (* Properties on supclosure *************************************************)
 
-lemma aaa_fqu_conf: ∀G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊃ ⦃G2, L2, T2⦄ →
+lemma aaa_fqu_conf: ∀G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐ ⦃G2, L2, T2⦄ →
                     ∀A1. ⦃G1, L1⦄ ⊢ T1 ⁝ A1 → ∃A2. ⦃G2, L2⦄ ⊢ T2 ⁝ A2.
 #G1 #G2 #L1 #L2 #T1 #T2 #H elim H -G1 -G2 -L1 -L2 -T1 -T2
-[ #I #G #L #T #A #H elim (aaa_inv_lref … H) -H
-  #J #K #V #H #HA lapply (ldrop_inv_O2 … H) -H
-  #H destruct /2 width=2 by ex_intro/
-| * [ #a ] * #G #L #V #T #X #H
+[ #I #G #L #T #A #H elim (aaa_inv_zero … H) -H
+  #J #K #V #H #HA destruct /2 width=2 by ex_intro/
+| * [ #p ] * #G #L #V #T #X #H
   [ elim (aaa_inv_abbr … H)
   | elim (aaa_inv_abst … H)
   | elim (aaa_inv_appl … H)
   | elim (aaa_inv_cast … H)
   ] -H /2 width=2 by ex_intro/
-| #a * #G #L #V #T #X #H
+| #p * #G #L #V #T #X #H
   [ elim (aaa_inv_abbr … H)
   | elim (aaa_inv_abst … H)
   ] -H /2 width=2 by ex_intro/
+| #p #I #G #L #V #T #H destruct
 | * #G #L #V #T #X #H
   [ elim (aaa_inv_appl … H)
   | elim (aaa_inv_cast … H)
   ] -H /2 width=2 by ex_intro/
-| /3 width=9 by aaa_inv_lift, ex_intro/
+| /5 width=8 by aaa_inv_lifts, drops_refl, drops_drop, ex_intro/
 ]
 qed-.
 
-lemma aaa_fquq_conf: ∀G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊃⸮ ⦃G2, L2, T2⦄ →
+lemma aaa_fquq_conf: ∀G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐⸮ ⦃G2, L2, T2⦄ →
                      ∀A1. ⦃G1, L1⦄ ⊢ T1 ⁝ A1 → ∃A2. ⦃G2, L2⦄ ⊢ T2 ⁝ A2.
-#G1 #G2 #L1 #L2 #T1 #T2 #H elim(fquq_inv_gen … H) -H /2 width=6 by aaa_fqu_conf/
+#G1 #G2 #L1 #L2 #T1 #T2 #H elim H -H /2 width=6 by aaa_fqu_conf/
 * #H1 #H2 #H3 destruct /2 width=2 by ex_intro/
 qed-.
 
-lemma aaa_fqup_conf: ∀G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊃+ ⦃G2, L2, T2⦄ →
+lemma aaa_fqup_conf: ∀G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐+ ⦃G2, L2, T2⦄ →
                      ∀A1. ⦃G1, L1⦄ ⊢ T1 ⁝ A1 → ∃A2. ⦃G2, L2⦄ ⊢ T2 ⁝ A2.
 #G1 #G2 #L1 #L2 #T1 #T2 #H @(fqup_ind … H) -G2 -L2 -T2
 [2: #G #G2 #L #L2 #T #T2 #_ #H2 #IH1 #A #HA elim (IH1 … HA) -IH1 -A ]
 /2 width=6 by aaa_fqu_conf/
 qed-.
 
-lemma aaa_fqus_conf: ∀G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊃* ⦃G2, L2, T2⦄ →
+lemma aaa_fqus_conf: ∀G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐* ⦃G2, L2, T2⦄ →
                      ∀A1. ⦃G1, L1⦄ ⊢ T1 ⁝ A1 → ∃A2. ⦃G2, L2⦄ ⊢ T2 ⁝ A2.
-#G1 #G2 #L1 #L2 #T1 #T2 #H elim(fqus_inv_gen … H) -H /2 width=6 by aaa_fqup_conf/
+#G1 #G2 #L1 #L2 #T1 #T2 #H elim(fqus_inv_fqup … H) -H /2 width=6 by aaa_fqup_conf/
 * #H1 #H2 #H3 destruct /2 width=2 by ex_intro/
 qed-.