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diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpcs_csx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpcs_csx.ma
index f37dc4184..777d5ecd7 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpcs_csx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpcs_csx.ma
@@ -12,29 +12,29 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/rt_computation/cpre_csx.ma".
-include "basic_2/rt_computation/cpre_cpre.ma".
+include "basic_2/rt_computation/cprre_csx.ma".
+include "basic_2/rt_computation/cprre_cprre.ma".
 include "basic_2/rt_equivalence/cpcs_cprs.ma".
 
 (* CONTEXT-SENSITIVE PARALLEL R-EQUIVALENCE FOR TERMS ***********************)
 
-(* Properties with strongly normalizing terms for unbound rt-transition *****)
+(* Properties with strongly normalizing terms for extended rt-transition ****)
 
 (* Basic_1: was: cpcs_dec *)
 lemma csx_cpcs_dec (h) (G) (L):
-      ∀T1. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T1⦄ → ∀T2. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T2⦄ →
-      Decidable … (⦃G,L⦄ ⊢ T1 ⬌*[h] T2).
+      ∀T1. ❪G,L❫ ⊢ ⬈*𝐒 T1 → ∀T2. ❪G,L❫ ⊢ ⬈*𝐒 T2 →
+      Decidable … (❪G,L❫ ⊢ T1 ⬌*[h] T2).
 #h #G #L #T1 #HT1 #T2 #HT2
-elim (cpre_total_csx … HT1) -HT1 #U1 #HTU1
-elim (cpre_total_csx … HT2) -HT2 #U2 #HTU2
+elim (cprre_total_csx h … HT1) -HT1 #U1 #HTU1
+elim (cprre_total_csx h … HT2) -HT2 #U2 #HTU2
 elim (eq_term_dec U1 U2) [ #H destruct | #HnU12 ]
 [ cases HTU1 -HTU1 #HTU1 #_
   cases HTU2 -HTU2 #HTU2 #_
   /3 width=3 by cprs_div, or_introl/
 | @or_intror #H
   elim (cpcs_inv_cprs … H) -H #T0 #HT10 #HT20
-  lapply (cpre_cprs_conf … HT10 … HTU1) -T1 #H1
-  lapply (cpre_cprs_conf … HT20 … HTU2) -T2 #H2
-  /3 width=6 by cpre_mono/
+  lapply (cprre_cprs_conf … HT10 … HTU1) -T1 #H1
+  lapply (cprre_cprs_conf … HT20 … HTU2) -T2 #H2
+  /3 width=6 by cprre_mono/
 ]
 qed-.