- basic_2: reaxiomatized snv with improved cpds and cpes simplifies preservation

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_cpds.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_cpds.ma
index 8c45457cd93f44a93994275ed1ef15466647effe..857c14b0c2e496b361c8e69ba900951162de6897 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_cpds.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_cpds.ma
@@ -18,14 +18,13 @@ include "basic_2/dynamic/lsubsv_lstas.ma".
 
 (* Properties on decomposed extended parallel computation on terms **********)
 
-lemma lsubsv_cpds_trans: ∀h,g,G,L2,T1,T2. ⦃G, L2⦄ ⊢ T1 •*➡*[h, g] T2 →
+lemma lsubsv_cpds_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] T & ⦃G, L1⦄ ⊢ T2 ➡* T.
-#h #g #G #L2 #T1 #T2 * #T #l1 #l2 #Hl21 #Hl1 #HT1 #HT2 #L1 #HL12
+                         ∃∃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
 lapply (lsubsv_cprs_trans … HL12 … HT2) -HT2 #HT2
 elim (lsubsv_lstas_trans … HT1 … Hl1 … HL12) // #T0 #HT10 #HT0
-lapply (lsubsv_fwd_lsubd … HL12) -HL12 #HL12
-lapply (lsubd_da_trans … Hl1 … HL12) -L2 #Hl1
 lapply (cpcs_cprs_strap1 … HT0 … HT2) -T #HT02
-elim (cpcs_inv_cprs … HT02) -HT02 /3 width=7 by ex2_intro, ex4_3_intro/
+elim (cpcs_inv_cprs … HT02) -HT02
+/5 width=5 by lsubsv_fwd_lsubd, lsubd_da_trans, ex4_2_intro, ex2_intro/
 qed-.