1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
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15 include "basic_2A/grammar/genv.ma".
16 include "basic_2A/multiple/drops.ma".
18 (* GENERIC COMPUTATION PROPERTIES *******************************************)
20 definition nf ≝ λRR:relation4 genv lenv term term. λRS:relation term.
21 λG,L,T. NF … (RR G L) RS T.
23 definition candidate: Type[0] ≝ relation3 genv lenv term.
25 definition CP0 ≝ λRR:relation4 genv lenv term term. λRS:relation term.
26 ∀G. d_liftable1 (nf RR RS G) (Ⓕ).
28 definition CP1 ≝ λRR:relation4 genv lenv term term. λRS:relation term.
29 ∀G,L. ∃k. NF … (RR G L) RS (⋆k).
31 definition CP2 ≝ λRP:candidate. ∀G. d_liftable1 (RP G) (Ⓕ).
33 definition CP3 ≝ λRP:candidate.
34 ∀G,L,T,k. RP G L (ⓐ⋆k.T) → RP G L T.
36 (* requirements for generic computation properties *)
37 record gcp (RR:relation4 genv lenv term term) (RS:relation term) (RP:candidate) : Prop ≝
44 (* Basic properties *********************************************************)
46 (* Basic_1: was: nf2_lift1 *)
47 lemma gcp0_lifts: ∀RR,RS,RP. gcp RR RS RP → ∀G. d_liftables1 (nf RR RS G) (Ⓕ).
48 #RR #RS #RP #H #G @d1_liftable_liftables @(cp0 … H)
51 lemma gcp2_lifts: ∀RR,RS,RP. gcp RR RS RP → ∀G. d_liftables1 (RP G) (Ⓕ).
52 #RR #RS #RP #H #G @d1_liftable_liftables @(cp2 … H)
55 (* Basic_1: was only: sns3_lifts1 *)
56 lemma gcp2_lifts_all: ∀RR,RS,RP. gcp RR RS RP → ∀G. d_liftables1_all (RP G) (Ⓕ).
57 #RR #RS #RP #H #G @d1_liftables_liftables_all /2 width=7 by gcp2_lifts/