notational change of lift, drop, and gget

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/da_lift.ma b/matita/matita/contribs/lambdadelta/basic_2/static/da_lift.ma
index 597420ddfe2233a8c0ce15ab250e7b962368ae4b..0e7428fa3fe19ed6571c7c3e757830a71eb95e79 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/static/da_lift.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/static/da_lift.ma
@@ -12,7 +12,7 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/substitution/ldrop_ldrop.ma".
+include "basic_2/substitution/drop_drop.ma".
 include "basic_2/static/da.ma".
 
 (* DEGREE ASSIGNMENT FOR TERMS **********************************************)
@@ -20,30 +20,30 @@ include "basic_2/static/da.ma".
 (* Properties on relocation *************************************************)
 
 lemma da_lift: ∀h,g,G,L1,T1,l. ⦃G, L1⦄ ⊢ T1 ▪[h, g] l →
-               â\88\80L2,s,d,e. â\87©[s, d, e] L2 â\89¡ L1 â\86\92 â\88\80T2. â\87§[d, e] T1 ≡ T2 →
+               â\88\80L2,s,d,e. â¬\87[s, d, e] L2 â\89¡ L1 â\86\92 â\88\80T2. â¬\86[d, e] T1 ≡ T2 →
                ⦃G, L2⦄ ⊢ T2 ▪[h, g] l.
 #h #g #G #L1 #T1 #l #H elim H -G -L1 -T1 -l
 [ #G #L1 #k #l #Hkl #L2 #s #d #e #_ #X #H
   >(lift_inv_sort1 … H) -X /2 width=1 by da_sort/
 | #G #L1 #K1 #V1 #i #l #HLK1 #_ #IHV1 #L2 #s #d #e #HL21 #X #H
   elim (lift_inv_lref1 … 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 da_ldef/
-  | lapply (ldrop_trans_ge … HL21 … HLK1 ?) -L1
-    /3 width=8 by da_ldef, ldrop_inv_gen/
+  | lapply (drop_trans_ge … HL21 … HLK1 ?) -L1
+    /3 width=8 by da_ldef, drop_inv_gen/
   ]
 | #G #L1 #K1 #W1 #i #l #HLK1 #_ #IHW1 #L2 #s #d #e #HL21 #X #H
   elim (lift_inv_lref1 … 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 #W2 #HK21 #HW12 #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 #W2 #HK21 #HW12 #H destruct
     /3 width=8 by da_ldec/
-  | lapply (ldrop_trans_ge … HL21 … HLK1 ?) -L1
-    /3 width=8 by da_ldec, ldrop_inv_gen/
+  | lapply (drop_trans_ge … HL21 … HLK1 ?) -L1
+    /3 width=8 by da_ldec, drop_inv_gen/
   ]
 | #a #I #G #L1 #V1 #T1 #l #_ #IHT1 #L2 #s #d #e #HL21 #X #H
   elim (lift_inv_bind1 … H) -H #V2 #T2 #HV12 #HU12 #H destruct
-  /4 width=5 by da_bind, ldrop_skip/
+  /4 width=5 by da_bind, drop_skip/
 | #I #G #L1 #V1 #T1 #l #_ #IHT1 #L2 #s #d #e #HL21 #X #H
   elim (lift_inv_flat1 … H) -H #V2 #T2 #HV12 #HU12 #H destruct
   /3 width=5 by da_flat/
@@ -53,24 +53,24 @@ qed.
 (* Inversion lemmas on relocation *******************************************)
 
 lemma da_inv_lift: ∀h,g,G,L2,T2,l. ⦃G, L2⦄ ⊢ T2 ▪[h, g] l →
-                   â\88\80L1,s,d,e. â\87©[s, d, e] L2 â\89¡ L1 â\86\92 â\88\80T1. â\87§[d, e] T1 ≡ T2 →
+                   â\88\80L1,s,d,e. â¬\87[s, d, e] L2 â\89¡ L1 â\86\92 â\88\80T1. â¬\86[d, e] T1 ≡ T2 →
                    ⦃G, L1⦄ ⊢ T1 ▪[h, g] l.
 #h #g #G #L2 #T2 #l #H elim H -G -L2 -T2 -l
 [ #G #L2 #k #l #Hkl #L1 #s #d #e #_ #X #H
   >(lift_inv_sort2 … H) -X /2 width=1 by da_sort/
 | #G #L2 #K2 #V2 #i #l #HLK2 #HV2 #IHV2 #L1 #s #d #e #HL21 #X #H
   elim (lift_inv_lref2 … H) * #Hid #H destruct [ -HV2 | -IHV2 ]
-  [ elim (ldrop_conf_lt … HL21 … HLK2) -L2 /3 width=8 by da_ldef/
-  | lapply (ldrop_conf_ge … HL21 … HLK2 ?) -L2 /2 width=4 by da_ldef/
+  [ elim (drop_conf_lt … HL21 … HLK2) -L2 /3 width=8 by da_ldef/
+  | lapply (drop_conf_ge … HL21 … HLK2 ?) -L2 /2 width=4 by da_ldef/
   ]
 | #G #L2 #K2 #W2 #i #l #HLK2 #HW2 #IHW2 #L1 #s #d #e #HL21 #X #H
   elim (lift_inv_lref2 … H) * #Hid #H destruct [ -HW2 | -IHW2 ]
-  [ elim (ldrop_conf_lt … HL21 … HLK2) -L2 /3 width=8 by da_ldec/
-  | lapply (ldrop_conf_ge … HL21 … HLK2 ?) -L2 /2 width=4 by da_ldec/
+  [ elim (drop_conf_lt … HL21 … HLK2) -L2 /3 width=8 by da_ldec/
+  | lapply (drop_conf_ge … HL21 … HLK2 ?) -L2 /2 width=4 by da_ldec/
   ]
 | #a #I #G #L2 #V2 #T2 #l #_ #IHT2 #L1 #s #d #e #HL21 #X #H
   elim (lift_inv_bind2 … H) -H #V1 #T1 #HV12 #HT12 #H destruct
-  /4 width=5 by da_bind, ldrop_skip/
+  /4 width=5 by da_bind, drop_skip/
 | #I #G #L2 #V2 #T2 #l #_ #IHT2 #L1 #s #d #e #HL21 #X #H
   elim (lift_inv_flat2 … H) -H #V1 #T1 #HV12 #HT12 #H destruct
   /3 width=5 by da_flat/