more results on after ...

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / relocation / llpx_sn_lpx_sn.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/relocation/llpx_sn_lpx_sn.ma b/matita/matita/contribs/lambdadelta/basic_2/relocation/llpx_sn_lpx_sn.ma
index defd027314da56ed613d4bcfbbec2357c7ae85f9..a66b866f4b5caebe94de83f91f1df444278279bb 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/relocation/llpx_sn_lpx_sn.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/relocation/llpx_sn_lpx_sn.ma
@@ -12,25 +12,25 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/relocation/lpx_sn_ldrop.ma".
-include "basic_2/relocation/llpx_sn.ma".
+include "basic_2/substitution/lpx_sn_drop.ma".
+include "basic_2/multiple/llpx_sn.ma".
 
 (* LAZY SN POINTWISE EXTENSION OF A CONTEXT-SENSITIVE REALTION FOR TERMS ****)
 
 (* Properties on pointwise extensions ***************************************)
 
 lemma lpx_sn_llpx_sn: ∀R. (∀L. reflexive … (R L)) →
-                      ∀T,L1,L2,d. lpx_sn R L1 L2 → llpx_sn R d T L1 L2.
+                      ∀T,L1,L2,l. lpx_sn R L1 L2 → llpx_sn R l T L1 L2.
 #R #HR #T #L1 @(f2_ind … rfw … L1 T) -L1 -T
-#n #IH #L1 * *
+#x #IH #L1 * *
 [ -HR -IH /4 width=2 by lpx_sn_fwd_length, llpx_sn_sort/
 | -HR #i elim (lt_or_ge i (|L1|))
   [2: -IH /4 width=4 by lpx_sn_fwd_length, llpx_sn_free, le_repl_sn_conf_aux/ ]
-  #Hi #Hn #L2 #d elim (ylt_split i d) 
-  [ -n /3 width=2 by llpx_sn_skip, lpx_sn_fwd_length/ ]
-  #Hdi #HL12 elim (ldrop_O1_lt L1 i) //
-  #I #K1 #V1 #HLK1 elim (lpx_sn_ldrop_conf … HL12 … HLK1) -HL12
-  /4 width=9 by llpx_sn_lref, ldrop_fwd_rfw/
+  #Hi #Hx #L2 #l elim (ylt_split i l) 
+  [ -x /3 width=2 by llpx_sn_skip, lpx_sn_fwd_length/ ]
+  #Hli #HL12 elim (drop_O1_lt (Ⓕ) L1 i) //
+  #I #K1 #V1 #HLK1 elim (lpx_sn_drop_conf … HL12 … HLK1) -HL12
+  /4 width=9 by llpx_sn_lref, drop_fwd_rfw/
 | -HR -IH /4 width=2 by lpx_sn_fwd_length, llpx_sn_gref/
 | /4 width=1 by llpx_sn_bind, lpx_sn_pair/
 | -HR /3 width=1 by llpx_sn_flat/