syntactic components detached from basic_2 become static_2

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / static / gcp.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/static/gcp.ma b/matita/matita/contribs/lambdadelta/static_2/static/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 "static_2/syntax/genv.ma".
+include "static_2/relocation/drops_vector.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 *)
+(* Basic_1: includes: nf2_lift1 *)
+(* Basic_2A1: includes: gcp0_lifts *)
+(* Basic_2A1: includes: gcp2_lifts *)
+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 only: sns3_lifts1 *)
+(* Basic_2A1: was: gcp2_lifts_all *)
+lemma gcp2_all: ∀RR,RS,RP. gcp RR RS RP → ∀G. d_liftable1_all (RP G).
+/3 width=7 by cp2, d1_liftable_liftable_all/ qed.