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diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_lsubr.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_lsubr.ma
index 20385588f..29f43808c 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_lsubr.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_lsubr.ma
@@ -20,6 +20,11 @@ include "basic_2/rt_transition/cpm.ma".
 (* Properties with restricted refinement for local environments *************)
 
 (* Basic_2A1: includes: lsubr_cpr_trans *)
-lemma lsubr_cpm_trans: ∀n,h,G. lsub_trans … (λL. cpm h G L n) lsubr.
+lemma lsubr_cpm_trans (n) (h) (G): lsub_trans … (λL. cpm h G L n) lsubr.
 #n #h #G #L1 #T1 #T2 * /3 width=5 by lsubr_cpg_trans, ex2_intro/
 qed-.
+
+lemma cpm_bind_unit (n) (h) (G): ∀L,V1,V2. ⦃G, L⦄ ⊢ V1 ➡[h] V2 →
+                                 ∀J,T1,T2. ⦃G, L.ⓤ{J}⦄ ⊢ T1 ➡[n, h] T2 →
+                                 ∀p,I. ⦃G, L⦄ ⊢ ⓑ{p,I}V1.T1 ➡[n, h] ⓑ{p,I}V2.T2.
+/4 width=4 by lsubr_cpm_trans, cpm_bind, lsubr_unit/ qed.