]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/static/aaa_fqus.ma
renaming in basic_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / static / aaa_fqus.ma
index 576b0814e3c99f9189441d05e8feabce7e0caef7..812bcc3656984c1fb38363dd1e635f01346f699b 100644 (file)
@@ -12,8 +12,8 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/multiple/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 *****************************************)
 
@@ -22,30 +22,30 @@ include "basic_2/static/aaa_lift.ma".
 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 (drop_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⦄ →
                      ∀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-.
 
@@ -58,6 +58,6 @@ qed-.
 
 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-.