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diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/gcp.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/gcp.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/genv.ma".
-include "basic_2/multiple/drops.ma".
-
-(* GENERIC COMPUTATION PROPERTIES *******************************************)
-
-definition nf ≝ λRR:relation4 genv lenv term term. λRS:relation term.
-                λG,L,T. NF … (RR G L) RS T.
-
-definition candidate: Type[0] ≝ relation3 genv lenv term.
-
-definition CP0 ≝ λRR:relation4 genv lenv term term. λRS:relation term.
-                 ∀G. d_liftable1 (nf RR RS G) (Ⓕ).
-
-definition CP1 ≝ λRR:relation4 genv lenv term term. λRS:relation term.
-                 ∀G,L. ∃s. NF … (RR G L) RS (⋆s).
-
-definition CP2 ≝ λRP:candidate. ∀G. d_liftable1 (RP G) (Ⓕ).
-
-definition CP3 ≝ λRP:candidate.
-                 ∀G,L,T,s. RP G L (ⓐ⋆s.T) → RP G L T.
-
-(* requirements for generic computation properties *)
-record gcp (RR:relation4 genv lenv term term) (RS:relation term) (RP:candidate) : Prop ≝
-{ cp0: CP0 RR RS;
-  cp1: CP1 RR RS;
-  cp2: CP2 RP;
-  cp3: CP3 RP
-}.
-
-(* Basic properties *********************************************************)
-
-(* Basic_1: was: nf2_lift1 *)
-lemma gcp0_lifts: ∀RR,RS,RP. gcp RR RS RP → ∀G. d_liftables1 (nf RR RS G) (Ⓕ).
-#RR #RS #RP #H #G @d1_liftable_liftables @(cp0 … H)
-qed.
-
-lemma gcp2_lifts: ∀RR,RS,RP. gcp RR RS RP → ∀G. d_liftables1 (RP G) (Ⓕ).
-#RR #RS #RP #H #G @d1_liftable_liftables @(cp2 … H)
-qed.
-
-(* Basic_1: was only: sns3_lifts1 *)
-lemma gcp2_lifts_all: ∀RR,RS,RP. gcp RR RS RP → ∀G. d_liftables1_all (RP G) (Ⓕ).
-#RR #RS #RP #H #G @d1_liftables_liftables_all /2 width=7 by gcp2_lifts/
-qed.