notational change of lift, drop, and gget

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / static / aaa_lift.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/aaa_lift.ma b/matita/matita/contribs/lambdadelta/basic_2/static/aaa_lift.ma
index f0b5f8a4081ef7a7027979c44c9da6bce0915234..736f45d98ae6086bb9ae463a32992f0117f17a03 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/static/aaa_lift.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/static/aaa_lift.ma
@@ -12,32 +12,32 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/relocation/ldrop_ldrop.ma".
+include "basic_2/substitution/drop_drop.ma".
 include "basic_2/static/aaa.ma".
 
 (* ATONIC ARITY ASSIGNMENT ON TERMS *****************************************)
 
 (* Properties on basic relocation *******************************************)
 
-lemma aaa_lift: â\88\80G,L1,T1,A. â¦\83G, L1â¦\84 â\8a¢ T1 â\81\9d A â\86\92 â\88\80L2,s,d,e. â\87©[s, d, e] L2 ≡ L1 →
-                â\88\80T2. â\87§[d, e] T1 ≡ T2 → ⦃G, L2⦄ ⊢ T2 ⁝ A.
+lemma aaa_lift: â\88\80G,L1,T1,A. â¦\83G, L1â¦\84 â\8a¢ T1 â\81\9d A â\86\92 â\88\80L2,s,d,e. â¬\87[s, d, e] L2 ≡ L1 →
+                â\88\80T2. â¬\86[d, e] T1 ≡ T2 → ⦃G, L2⦄ ⊢ T2 ⁝ A.
 #G #L1 #T1 #A #H elim H -G -L1 -T1 -A
 [ #G #L1 #k #L2 #s #d #e #_ #T2 #H
   >(lift_inv_sort1 … H) -H //
 | #I #G #L1 #K1 #V1 #B #i #HLK1 #_ #IHB #L2 #s #d #e #HL21 #T2 #H
   elim (lift_inv_lref1 … H) -H * #Hid #H destruct
-  [ elim (ldrop_trans_le … HL21 … HLK1) -L1 /2 width=2 by lt_to_le/ #X #HLK2 #H
-    elim (ldrop_inv_skip2 … H) -H /2 width=1 by lt_plus_to_minus_r/ -Hid #K2 #V2 #HK21 #HV12 #H destruct
+  [ elim (drop_trans_le … HL21 … HLK1) -L1 /2 width=2 by lt_to_le/ #X #HLK2 #H
+    elim (drop_inv_skip2 … H) -H /2 width=1 by lt_plus_to_minus_r/ -Hid #K2 #V2 #HK21 #HV12 #H destruct
     /3 width=9 by aaa_lref/
-  | lapply (ldrop_trans_ge … HL21 … HLK1 ?) -L1
-    /3 width=9 by aaa_lref, ldrop_inv_gen/
+  | lapply (drop_trans_ge … HL21 … HLK1 ?) -L1
+    /3 width=9 by aaa_lref, drop_inv_gen/
   ]
 | #a #G #L1 #V1 #T1 #B #A #_ #_ #IHB #IHA #L2 #s #d #e #HL21 #X #H
   elim (lift_inv_bind1 … H) -H #V2 #T2 #HV12 #HT12 #H destruct
-  /4 width=5 by aaa_abbr, ldrop_skip/
+  /4 width=5 by aaa_abbr, drop_skip/
 | #a #G #L1 #V1 #T1 #B #A #_ #_ #IHB #IHA #L2 #s #d #e #HL21 #X #H
   elim (lift_inv_bind1 … H) -H #V2 #T2 #HV12 #HT12 #H destruct
-  /4 width=5 by aaa_abst, ldrop_skip/
+  /4 width=5 by aaa_abst, drop_skip/
 | #G #L1 #V1 #T1 #B #A #_ #_ #IHB #IHA #L2 #s #d #e #HL21 #X #H
   elim (lift_inv_flat1 … H) -H #V2 #T2 #HV12 #HT12 #H destruct
   /3 width=5 by aaa_appl/
@@ -47,22 +47,22 @@ lemma aaa_lift: ∀G,L1,T1,A. ⦃G, L1⦄ ⊢ T1 ⁝ A → ∀L2,s,d,e. ⇩[s, d
 ]
 qed.
 
-lemma aaa_inv_lift: â\88\80G,L2,T2,A. â¦\83G, L2â¦\84 â\8a¢ T2 â\81\9d A â\86\92 â\88\80L1,s,d,e. â\87©[s, d, e] L2 ≡ L1 →
-                    â\88\80T1. â\87§[d, e] T1 ≡ T2 → ⦃G, L1⦄ ⊢ T1 ⁝ A.
+lemma aaa_inv_lift: â\88\80G,L2,T2,A. â¦\83G, L2â¦\84 â\8a¢ T2 â\81\9d A â\86\92 â\88\80L1,s,d,e. â¬\87[s, d, e] L2 ≡ L1 →
+                    â\88\80T1. â¬\86[d, e] T1 ≡ T2 → ⦃G, L1⦄ ⊢ T1 ⁝ A.
 #G #L2 #T2 #A #H elim H -G -L2 -T2 -A
 [ #G #L2 #k #L1 #s #d #e #_ #T1 #H
   >(lift_inv_sort2 … H) -H //
 | #I #G #L2 #K2 #V2 #B #i #HLK2 #_ #IHB #L1 #s #d #e #HL21 #T1 #H
   elim (lift_inv_lref2 … H) -H * #Hid #H destruct
-  [ elim (ldrop_conf_lt … HL21 … HLK2) -L2 /3 width=9 by aaa_lref/
-  | lapply (ldrop_conf_ge … HL21 … HLK2 ?) -L2 /3 width=9 by aaa_lref/
+  [ elim (drop_conf_lt … HL21 … HLK2) -L2 /3 width=9 by aaa_lref/
+  | lapply (drop_conf_ge … HL21 … HLK2 ?) -L2 /3 width=9 by aaa_lref/
   ]
 | #a #G #L2 #V2 #T2 #B #A #_ #_ #IHB #IHA #L1 #s #d #e #HL21 #X #H
   elim (lift_inv_bind2 … H) -H #V1 #T1 #HV12 #HT12 #H destruct
-  /4 width=5 by aaa_abbr, ldrop_skip/
+  /4 width=5 by aaa_abbr, drop_skip/
 | #a #G #L2 #V2 #T2 #B #A #_ #_ #IHB #IHA #L1 #s #d #e #HL21 #X #H
   elim (lift_inv_bind2 … H) -H #V1 #T1 #HV12 #HT12 #H destruct
-  /4 width=5 by aaa_abst, ldrop_skip/
+  /4 width=5 by aaa_abst, drop_skip/
 | #G #L2 #V2 #T2 #B #A #_ #_ #IHB #IHA #L1 #s #d #e #HL21 #X #H
   elim (lift_inv_flat2 … H) -H #V1 #T1 #HV12 #HT12 #H destruct
   /3 width=5 by aaa_appl/