syntactic components detached from basic_2 become static_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / dynamic / lsubsv_scpds.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_scpds.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_scpds.ma
index 3edc47f41397ebd41ce2cd3805fc123fe8be1c82..cac43d361822a088fd994ab930c3793966abab6e 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_scpds.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_scpds.ma
@@ -12,18 +12,20 @@
 (*                                                                        *)
 (**************************************************************************)
 
+include "static_2/static/lsubd_da.ma".
+include "basic_2/dynamic/lsubsv_lsubd.ma".
 include "basic_2/dynamic/lsubsv_lstas.ma".
 
 (* LOCAL ENVIRONMENT REFINEMENT FOR STRATIFIED NATIVE VALIDITY **************)
 
 (* Properties on decomposed extended parallel computation on terms **********)
 
-lemma lsubsv_scpds_trans: ∀h,g,G,L2,T1,T2,l. ⦃G, L2⦄ ⊢ T1 •*➡*[h, g, l] T2 →
-                          ∀L1. G ⊢ L1 ⫃¡[h, g] L2 →
-                          ∃∃T. ⦃G, L1⦄ ⊢ T1 •*➡*[h, g, l] T & ⦃G, L1⦄ ⊢ T2 ➡* T.
-#h #g #G #L2 #T1 #T2 #l2 * #T #l1 #Hl21 #Hl1 #HT1 #HT2 #L1 #HL12
+lemma lsubsv_scpds_trans: ∀h,o,G,L2,T1,T2,d. ⦃G, L2⦄ ⊢ T1 •*➡*[h, o, d] T2 →
+                          ∀L1. G ⊢ L1 ⫃¡[h, o] L2 →
+                          ∃∃T. ⦃G, L1⦄ ⊢ T1 •*➡*[h, o, d] T & ⦃G, L1⦄ ⊢ T2 ➡* T.
+#h #o #G #L2 #T1 #T2 #d2 * #T #d1 #Hd21 #Hd1 #HT1 #HT2 #L1 #HL12
 lapply (lsubsv_cprs_trans … HL12 … HT2) -HT2 #HT2
-elim (lsubsv_lstas_trans … HT1 … Hl1 … HL12) // #T0 #HT10 #HT0
+elim (lsubsv_lstas_trans … HT1 … Hd1 … HL12) // #T0 #HT10 #HT0
 lapply (cpcs_cprs_strap1 … HT0 … HT2) -T #HT02
 elim (cpcs_inv_cprs … HT02) -HT02
 /5 width=5 by lsubsv_fwd_lsubd, lsubd_da_trans, ex4_2_intro, ex2_intro/