+(**************************************************************************)
+(* ___ *)
+(* ||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 *)