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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 604d922c7..c9d76fc51 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
@@ -19,14 +19,14 @@ include "basic_2/rt_transition/cpm_cpx.ma".
 
 (* Forward lemmas with free variables inclusion for restricted closures *****)
 
-lemma cpm_fsle_comp: ∀n,h,G. R_fsle_compatible (cpm n h G).
-/3 width=6 by cpm_fwd_cpx, cpx_fsle_comp/ qed-.
+lemma cpm_fsge_comp: ∀n,h,G. R_fsge_compatible (λL. cpm h G L n).
+/3 width=6 by cpm_fwd_cpx, cpx_fsge_comp/ qed-.
 
-lemma lfpr_fsle_comp: ∀h,G. lfxs_fsle_compatible (cpm 0 h G).
-/4 width=5 by cpm_fwd_cpx, lfpx_fsle_comp, lfxs_co/ 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-.
 
 (* 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 … (cpm n h G) (lfxs R).
+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-.