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diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_fsle.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_fsle.ma
index c9d76fc51..1fcc7d5d7 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_fsle.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_fsle.ma
@@ -12,21 +12,24 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/rt_transition/lfpx_fsle.ma".
+include "basic_2/rt_transition/rpx_fsle.ma".
 include "basic_2/rt_transition/cpm_cpx.ma".
 
 (* CONTEXT-SENSITIVE PARALLEL REDUCTION FOR TERMS ***************************)
 
 (* Forward lemmas with free variables inclusion for restricted closures *****)
 
-lemma cpm_fsge_comp: ∀n,h,G. R_fsge_compatible (λL. cpm h G L n).
+lemma cpm_fsge_comp (h) (n) (G):
+      R_fsge_compatible (λL. cpm h G L n).
 /3 width=6 by cpm_fwd_cpx, cpx_fsge_comp/ qed-.
 
-lemma lfpr_fsge_comp: ∀h,G. lfxs_fsge_compatible (λL. cpm h G L 0).
-/4 width=5 by cpm_fwd_cpx, lfpx_fsge_comp, lfxs_co/ qed-.
+lemma rpr_fsge_comp (h) (G):
+      rex_fsge_compatible (λL. cpm h G L 0).
+/4 width=5 by cpm_fwd_cpx, rpx_fsge_comp, rex_co/ qed-.
 
 (* Properties with generic extension on referred entries ********************)
 
 (* Basic_2A1: was just: cpr_llpx_sn_conf *)
-lemma cpm_lfxs_conf: ∀R,n,h,G. s_r_confluent1 … (λL. cpm h G L n) (lfxs R).
-/3 width=5 by cpm_fwd_cpx, cpx_lfxs_conf/ qed-.
+lemma cpm_rex_conf_sn (R) (h) (n) (G):
+      s_r_confluent1 … (λL. cpm h G L n) (rex R).
+/3 width=5 by cpm_fwd_cpx, cpx_rex_conf_sn/ qed-.