- some renaming according to the written version of basic_2

[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 0e7428fa3fe19ed6571c7c3e757830a71eb95e79..3f3926c1752d28551344098bf38eb8da179149ec 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/static/da_lift.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/static/da_lift.ma
@@ -19,32 +19,32 @@ include "basic_2/static/da.ma".
 
 (* Properties on relocation *************************************************)
 
-lemma da_lift: ∀h,g,G,L1,T1,l. ⦃G, L1⦄ ⊢ T1 ▪[h, g] l →
-               ∀L2,s,d,e. ⬇[s, d, e] L2 ≡ L1 → ∀T2. ⬆[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
+lemma da_lift: ∀h,g,G,L1,T1,d. ⦃G, L1⦄ ⊢ T1 ▪[h, g] d →
+               ∀L2,s,l,m. ⬇[s, l, m] L2 ≡ L1 → ∀T2. ⬆[l, m] T1 ≡ T2 →
+               ⦃G, L2⦄ ⊢ T2 ▪[h, g] d.
+#h #g #G #L1 #T1 #d #H elim H -G -L1 -T1 -d
+[ #G #L1 #k #d #Hkd #L2 #s #l #m #_ #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
+| #G #L1 #K1 #V1 #i #d #HLK1 #_ #IHV1 #L2 #s #l #m #HL21 #X #H
+  elim (lift_inv_lref1 … H) * #Hil #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
+    elim (drop_inv_skip2 … H) -H /2 width=1 by lt_plus_to_minus_r/ -Hil #K2 #V2 #HK21 #HV12 #H destruct
     /3 width=9 by da_ldef/
   | 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
+| #G #L1 #K1 #W1 #i #d #HLK1 #_ #IHW1 #L2 #s #l #m #HL21 #X #H
+  elim (lift_inv_lref1 … H) * #Hil #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
+    elim (drop_inv_skip2 … H) -H /2 width=1 by lt_plus_to_minus_r/ -Hil #K2 #W2 #HK21 #HW12 #H destruct
     /3 width=8 by da_ldec/
   | 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
+| #a #I #G #L1 #V1 #T1 #d #_ #IHT1 #L2 #s #l #m #HL21 #X #H
   elim (lift_inv_bind1 … H) -H #V2 #T2 #HV12 #HU12 #H destruct
   /4 width=5 by da_bind, drop_skip/
-| #I #G #L1 #V1 #T1 #l #_ #IHT1 #L2 #s #d #e #HL21 #X #H
+| #I #G #L1 #V1 #T1 #d #_ #IHT1 #L2 #s #l #m #HL21 #X #H
   elim (lift_inv_flat1 … H) -H #V2 #T2 #HV12 #HU12 #H destruct
   /3 width=5 by da_flat/
 ]
@@ -52,26 +52,26 @@ qed.
 
 (* Inversion lemmas on relocation *******************************************)
 
-lemma da_inv_lift: ∀h,g,G,L2,T2,l. ⦃G, L2⦄ ⊢ T2 ▪[h, g] l →
-                   ∀L1,s,d,e. ⬇[s, d, e] L2 ≡ L1 → ∀T1. ⬆[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
+lemma da_inv_lift: ∀h,g,G,L2,T2,d. ⦃G, L2⦄ ⊢ T2 ▪[h, g] d →
+                   ∀L1,s,l,m. ⬇[s, l, m] L2 ≡ L1 → ∀T1. ⬆[l, m] T1 ≡ T2 →
+                   ⦃G, L1⦄ ⊢ T1 ▪[h, g] d.
+#h #g #G #L2 #T2 #d #H elim H -G -L2 -T2 -d
+[ #G #L2 #k #d #Hkd #L1 #s #l #m #_ #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 ]
+| #G #L2 #K2 #V2 #i #d #HLK2 #HV2 #IHV2 #L1 #s #l #m #HL21 #X #H
+  elim (lift_inv_lref2 … H) * #Hil #H destruct [ -HV2 | -IHV2 ]
   [ 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 ]
+| #G #L2 #K2 #W2 #i #d #HLK2 #HW2 #IHW2 #L1 #s #l #m #HL21 #X #H
+  elim (lift_inv_lref2 … H) * #Hil #H destruct [ -HW2 | -IHW2 ]
   [ 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
+| #a #I #G #L2 #V2 #T2 #d #_ #IHT2 #L1 #s #l #m #HL21 #X #H
   elim (lift_inv_bind2 … H) -H #V1 #T1 #HV12 #HT12 #H destruct
   /4 width=5 by da_bind, drop_skip/
-| #I #G #L2 #V2 #T2 #l #_ #IHT2 #L1 #s #d #e #HL21 #X #H
+| #I #G #L2 #V2 #T2 #d #_ #IHT2 #L1 #s #l #m #HL21 #X #H
   elim (lift_inv_flat2 … H) -H #V1 #T1 #HV12 #HT12 #H destruct
   /3 width=5 by da_flat/
 ]