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diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_cnh.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_cnh.ma
new file mode 100644
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+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_cnh.ma
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+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||M||                                                             *)
+(*      ||A||       A project by Andrea Asperti                           *)
+(*      ||T||                                                             *)
+(*      ||I||       Developers:                                           *)
+(*      ||T||         The HELM team.                                      *)
+(*      ||A||         http://helm.cs.unibo.it                             *)
+(*      \   /                                                             *)
+(*       \ /        This file is distributed under the terms of the       *)
+(*        v         GNU General Public License Version 2                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+include "static_2/syntax/theq_theq.ma".
+include "basic_2/rt_transition/cnh_cnh.ma".
+include "basic_2/rt_computation/cpms.ma".
+
+(* T-BOUND CONTEXT-SENSITIVE PARALLEL RT-COMPUTATION FOR TERMS **************)
+
+(* Inversion lemmas with normal terms for head t-unbound rt-transition ******)
+
+lemma cpms_inv_cnh_sn (h) (n) (G) (L):
+      ∀T1,T2. ⦃G,L⦄ ⊢ T1 ➡*[n,h] T2 → ⦃G,L⦄ ⊢ ⥲[h] 𝐍⦃T1⦄ → T1 ⩳ T2.
+#h #n #G #L #T1 #T2 #H @(cpms_ind_sn … H) -T1 //
+#n1 #n2 #T1 #T0 #HT10 #_ #IH #HT1
+/4 width=9 by cnh_cpm_trans, theq_trans/
+qed-.