(* *)
(**************************************************************************)
-include "static_2/relocation/lifts_tweq.ma".
+include "static_2/relocation/lifts_teqw.ma".
include "basic_2/rt_computation/cpms_drops.ma".
include "basic_2/rt_computation/cnuw.ma".
lemma cnuw_lifts (h) (G): d_liftable1 … (cnuw h G).
#h #G #K #T #HT #b #f #L #HLK #U #HTU #n #U0 #H
elim (cpms_inv_lifts_sn … H … HLK … HTU) -b -L #T0 #HTU0 #HT0
-lapply (HT … HT0) -G -K /2 width=6 by tweq_lifts_bi/
+lapply (HT … HT0) -G -K /2 width=6 by teqw_lifts_bi/
qed-.
(* Inversion lemmas with generic relocation *********************************)
lemma cnuw_inv_lifts (h) (G): d_deliftable1 … (cnuw h G).
#h #G #L #U #HU #b #f #K #HLK #T #HTU #n #T0 #H
elim (cpms_lifts_sn … H … HLK … HTU) -b -K #U0 #HTU0 #HU0
-lapply (HU … HU0) -G -L /2 width=6 by tweq_inv_lifts_bi/
+lapply (HU … HU0) -G -L /2 width=6 by teqw_inv_lifts_bi/
qed-.
(* Advanced properties ******************************************************)
lemma cnuw_lref (h) (I) (G) (L):
- â\88\80i. â¦\83G,Lâ¦\84 â\8a¢ â\9e¡ð\9d\90\8dð\9d\90\96*[h] #i â\86\92 â¦\83G,L.â\93\98{I}â¦\84 ⊢ ➡𝐍𝐖*[h] #↑i.
+ â\88\80i. â\9dªG,Lâ\9d« â\8a¢ â\9e¡ð\9d\90\8dð\9d\90\96*[h] #i â\86\92 â\9dªG,L.â\93\98[I]â\9d« ⊢ ➡𝐍𝐖*[h] #↑i.
#h #I #G #L #i #Hi #n #X2 #H
elim (cpms_inv_lref_sn … H) -H *
[ #H #_ destruct //
| #T2 #HT2 #HTX2
lapply (Hi … HT2) -Hi -HT2 #H
- lapply (tweq_inv_lref_sn … H) -H #H destruct
+ lapply (teqw_inv_lref_sn … H) -H #H destruct
lapply (lifts_inv_lref1_uni … HTX2) -HTX2 #H destruct //
]
qed.
lemma cnuw_atom_drops (h) (b) (G) (L):
- â\88\80i. â¬\87*[b,ð\9d\90\94â\9d´iâ\9dµ] L â\89\98 â\8b\86 â\86\92 â¦\83G,Lâ¦\84 ⊢ ➡𝐍𝐖*[h] #i.
+ â\88\80i. â\87©*[b,ð\9d\90\94â\9d¨iâ\9d©] L â\89\98 â\8b\86 â\86\92 â\9dªG,Lâ\9d« ⊢ ➡𝐍𝐖*[h] #i.
#h #b #G #L #i #Hi #n #X #H
elim (cpms_inv_lref1_drops … H) -H * [ // || #m ] #K #V1 #V2 #HLK
lapply (drops_gen b … HLK) -HLK #HLK
qed.
lemma cnuw_unit_drops (h) (I) (G) (L):
- â\88\80K,i. â¬\87*[i] L â\89\98 K.â\93¤{I} â\86\92 â¦\83G,Lâ¦\84 ⊢ ➡𝐍𝐖*[h] #i.
+ â\88\80K,i. â\87©[i] L â\89\98 K.â\93¤[I] â\86\92 â\9dªG,Lâ\9d« ⊢ ➡𝐍𝐖*[h] #i.
#h #I #G #L #K #i #HLK #n #X #H
elim (cpms_inv_lref1_drops … H) -H * [ // || #m ] #Y #V1 #V2 #HLY
lapply (drops_mono … HLK … HLY) -L #H destruct