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diff --git a/matita/matita/contribs/lambda_delta/basic_2/grammar/cl_weight.ma b/matita/matita/contribs/lambda_delta/basic_2/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_2/grammar/lenv_weight.ma".
-include "basic_2/grammar/cl_shift.ma".
-
-(* WEIGHT OF A CLOSURE ******************************************************)
-
-definition fw: lenv → term → ? ≝ λL,T. #{L} + #{T}.
-
-interpretation "weight (closure)" 'Weight L T = (fw L T).
-
-(* Basic properties *********************************************************)
-
-(* Basic_1: was: flt_wf__q_ind *)
-
-(* Basic_1: was: flt_wf_ind *)
-axiom fw_ind: ∀R:relation2 lenv term.
-              (∀L2,T2. (∀L1,T1. #{L1,T1} < #{L2,T2} → R L1 T1) → R L2 T2) →
-              ∀L,T. R L T.
-
-(* Basic_1: was: flt_shift *)
-lemma fw_shift: ∀a,K,I,V,T. #{K. ⓑ{I} V, T} < #{K, ⓑ{a,I} V. T}.
-normalize //
-qed.
-
-lemma tw_shift: ∀L,T. #{L, T} ≤ #{L @@ T}.
-#L elim L //
-#K #I #V #IHL #T
-@transitive_le [3: @IHL |2: /2 width=2/ | skip ]
-qed.
-
-lemma fw_tpair_sn: ∀I,L,V,T. #{L, V} < #{L, ②{I}V.T}.
-normalize in ⊢ (?→?→?→?→?%%); //
-qed.
-
-lemma fw_tpair_dx: ∀I,L,V,T. #{L, T} < #{L, ②{I}V.T}.
-normalize in ⊢ (?→?→?→?→?%%); //
-qed.
-
-lemma fw_tpair_dx_sn: ∀I1,I2,L,V1,V2,T. #{L, V2} < #{L, ②{I1}V1.②{I2}V2.T}.
-normalize in ⊢ (?→?→?→?→?→?→?%%); /2 width=1/
-qed.
-
-lemma fw_tpair_sn_sn_shift: ∀I,I1,I2,L,V1,V2,T.
-                            #{L.ⓑ{I}V1, T} < #{L, ②{I1}V1.②{I2}V2.T}.
-normalize in ⊢ (?→?→?→?→?→?→?→?%%); /3 width=1/ 
-qed.
-
-lemma fw_tpair_sn_dx_shift: ∀I,I1,I2,L,V1,V2,T.
-                            #{L.ⓑ{I}V2, T} < #{L, ②{I1}V1.②{I2}V2.T}.
-normalize in ⊢ (?→?→?→?→?→?→?→?%%); /2 width=1/
-qed.
-
-(* Basic_1: removed theorems 6:
-            flt_thead_sx flt_thead_dx flt_arith0 flt_arith1 flt_arith2 flt_trans
-*)