+++ /dev/null
-(**************************************************************************)
-(* ___ *)
-(* ||M|| *)
-(* ||A|| A project by Andrea Asperti *)
-(* ||T|| *)
-(* ||I|| Developers: *)
-(* ||T|| The HELM team. *)
-(* ||A|| http://helm.cs.unibo.it *)
-(* \ / *)
-(* \ / This file is distributed under the terms of the *)
-(* v GNU General Public License Version 2 *)
-(* *)
-(**************************************************************************)
-
-include "basic_2/dynamic/lsubsv_lsstas.ma".
-
-(* LOCAL ENVIRONMENT REFINEMENT FOR STRATIFIED NATIVE VALIDITY **************)
-
-(* Properties on decomposed extended parallel computation on terms **********)
-
-lemma lsubsv_cpds_trans: ∀h,g,G,L2,T1,T2. ⦃G, L2⦄ ⊢ T1 •*➡*[h, g] 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
-lapply (lsubsv_cprs_trans … HL12 … HT2) -HT2 #HT2
-elim (lsubsv_lsstas_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/
-qed-.