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 *)
13 (**************************************************************************)
15 include "static_2/relocation/lifts_tueq.ma".
16 include "basic_2/rt_transition/cpm_drops.ma".
17 include "basic_2/rt_transition/cnu.ma".
19 (* NORMAL TERMS FOR T-UNUNBOUND RT-TRANSITION *******************************)
21 (* Advanced properties ******************************************************)
23 lemma cnu_atom_drops (h) (b) (G) (L):
24 āi. ā¬*[b,šā“iāµ] L ā ā ā ā¦G,Lā¦ ā¢ ā„²[h] šā¦#iā¦.
25 #h #b #G #L #i #Hi #n #X #H
26 elim (cpm_inv_lref1_drops ā¦ H) -H * [ // || #m ] #K #V1 #V2 #HLK
27 lapply (drops_gen b ā¦ HLK) -HLK #HLK
28 lapply (drops_mono ā¦ Hi ā¦ HLK) -L #H destruct
31 lemma cnu_unit_drops (h) (I) (G) (L):
32 āK,i. ā¬*[i] L ā K.ā¤{I} ā ā¦G,Lā¦ ā¢ ā„²[h] šā¦#iā¦.
33 #h #I #G #L #K #i #HLK #n #X #H
34 elim (cpm_inv_lref1_drops ā¦ H) -H * [ // || #m ] #Y #V1 #V2 #HLY
35 lapply (drops_mono ā¦ HLK ā¦ HLY) -L #H destruct
38 (* Properties with generic relocation ***************************************)
40 lemma cnu_lifts (h) (G): d_liftable1 ā¦ (cnu h G).
41 #h #G #K #T #HT #b #f #L #HLK #U #HTU #n #U0 #H
42 elim (cpm_inv_lifts_sn ā¦ H ā¦ HLK ā¦ HTU) -b -L #T0 #HTU0 #HT0
43 lapply (HT ā¦ HT0) -G -K /2 width=6 by tueq_lifts_bi/
46 (* Inversion lemmas with generic relocation *********************************)
48 lemma cnu_inv_lifts (h) (G): d_deliftable1 ā¦ (cnu h G).
49 #h #G #L #U #HU #b #f #K #HLK #T #HTU #n #T0 #H
50 elim (cpm_lifts_sn ā¦ H ā¦ HLK ā¦ HTU) -b -K #U0 #HTU0 #HU0
51 lapply (HU ā¦ HU0) -G -L /2 width=6 by tueq_inv_lifts_bi/