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diff --git a/matita/matita/contribs/lambdadelta/basic_2A/grammar/cl_weight.ma b/matita/matita/contribs/lambdadelta/basic_2A/grammar/cl_weight.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 "basic_2A/notation/functions/weight_3.ma".
+include "basic_2A/grammar/lenv_weight.ma".
+include "basic_2A/grammar/genv.ma".
+
+(* WEIGHT OF A CLOSURE ******************************************************)
+
+(* activate genv *)
+definition fw: genv → lenv → term → ? ≝ λG,L,T. ♯{L} + ♯{T}.
+
+interpretation "weight (closure)" 'Weight G L T = (fw G L T).
+
+(* Basic properties *********************************************************)
+
+(* Basic_1: was: flt_shift *)
+lemma fw_shift: ∀a,I,G,K,V,T. ♯{G, K.ⓑ{I}V, T} < ♯{G, K, ⓑ{a,I}V.T}.
+normalize //
+qed.
+
+lemma fw_tpair_sn: ∀I,G,L,V,T. ♯{G, L, V} < ♯{G, L, ②{I}V.T}.
+normalize in ⊢ (?→?→?→?→?→?%%); //
+qed.
+
+lemma fw_tpair_dx: ∀I,G,L,V,T. ♯{G, L, T} < ♯{G, L, ②{I}V.T}.
+normalize in ⊢ (?→?→?→?→?→?%%); //
+qed.
+
+lemma fw_lpair_sn: ∀I,G,L,V,T. ♯{G, L, V} < ♯{G, L.ⓑ{I}V, T}.
+normalize /3 width=1 by monotonic_lt_plus_l, monotonic_le_plus_r/
+qed.
+
+(* Basic_1: removed theorems 7:
+            flt_thead_sx flt_thead_dx flt_trans
+            flt_arith0 flt_arith1 flt_arith2 flt_wf_ind
+*)
+(* Basic_1: removed local theorems 1: q_ind *)