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diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_lpxs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_lpxs.ma
index 2e0c14570..e20b65982 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_lpxs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_lpxs.ma
@@ -12,11 +12,12 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/computation/lpxs.ma".
+include "static_2/relocation/lex_lex.ma".
+include "basic_2/rt_computation/lpxs_lpx.ma".
 
-(* SN EXTENDED PARALLEL COMPUTATION ON LOCAL ENVIRONMENTS *******************)
+(* UNBOUND PARALLEL RT-COMPUTATION FOR FULL LOCAL ENVIRONMENTS **************)
 
 (* Main properties **********************************************************)
 
-theorem lpxs_trans: ∀h,o,G. Transitive … (lpxs h o G).
-/2 width=3 by trans_TC/ qed-.
+theorem lpxs_trans (h) (G): Transitive … (lpxs h G).
+/4 width=5 by lpxs_cpxs_trans, cpxs_trans, lex_trans/ qed-.