(* *)
(**************************************************************************)
-include "static_2/static/rdeq_drops.ma".
+include "static_2/static/reqx_drops.ma".
include "basic_2/rt_transition/lpx_drops.ma".
include "basic_2/rt_computation/rsx_length.ma".
include "basic_2/rt_computation/rsx_fqup.ma".
(* Note: this uses length *)
(* Basic_2A1: uses: lsx_lift_le lsx_lift_ge *)
-lemma rsx_lifts (h) (G): d_liftable1_isuni â\80¦ (λL,T. G â\8a¢ â¬\88*[h,T] ð\9d\90\92â¦\83Lâ¦\84).
+lemma rsx_lifts (h) (G): d_liftable1_isuni â\80¦ (λL,T. G â\8a¢ â¬\88*[h,T] ð\9d\90\92â\9dªLâ\9d«).
#h #G #K #T #H @(rsx_ind … H) -K
#K1 #_ #IH #b #f #L1 #HLK1 #Hf #U #HTU @rsx_intro
-#L2 #HL12 #HnL12 elim (lpx_drops_conf … HLK1 … HL12)
-/5 width=9 by rdeq_lifts_bi, lpx_fwd_length/
+#L2 #HL12 #HnL12 elim (lpx_drops_conf … HLK1 … HL12)
+/5 width=9 by reqx_lifts_bi, lpx_fwd_length/
qed-.
(* Inversion lemmas on relocation *******************************************)
(* Basic_2A1: uses: lsx_inv_lift_le lsx_inv_lift_be lsx_inv_lift_ge *)
-lemma rsx_inv_lifts (h) (G): d_deliftable1_isuni â\80¦ (λL,T. G â\8a¢ â¬\88*[h,T] ð\9d\90\92â¦\83Lâ¦\84).
+lemma rsx_inv_lifts (h) (G): d_deliftable1_isuni â\80¦ (λL,T. G â\8a¢ â¬\88*[h,T] ð\9d\90\92â\9dªLâ\9d«).
#h #G #L #U #H @(rsx_ind … H) -L
#L1 #_ #IH #b #f #K1 #HLK1 #Hf #T #HTU @rsx_intro
#K2 #HK12 #HnK12 elim (drops_lpx_trans … HLK1 … HK12) -HK12
-/4 width=10 by rdeq_inv_lifts_bi/
+/4 width=10 by reqx_inv_lifts_bi/
qed-.
(* Advanced properties ******************************************************)
(* Basic_2A1: uses: lsx_lref_free *)
-lemma rsx_lref_atom_drops (h) (G): â\88\80L,i. â¬\87*[â\92»,ð\9d\90\94â\9d´iâ\9dµ] L â\89\98 â\8b\86 â\86\92 G â\8a¢ â¬\88*[h,#i] ð\9d\90\92â¦\83Lâ¦\84.
+lemma rsx_lref_atom_drops (h) (G): â\88\80L,i. â\87©*[â\92»,ð\9d\90\94â\9d¨iâ\9d©] L â\89\98 â\8b\86 â\86\92 G â\8a¢ â¬\88*[h,#i] ð\9d\90\92â\9dªLâ\9d«.
#h #G #L1 #i #HL1
@(rsx_lifts … (#0) … HL1) -HL1 //
qed.
(* Basic_2A1: uses: lsx_lref_skip *)
-lemma rsx_lref_unit_drops (h) (G): â\88\80I,L,K,i. â¬\87*[i] L â\89\98 K.â\93¤{I} â\86\92 G â\8a¢ â¬\88*[h,#i] ð\9d\90\92â¦\83Lâ¦\84.
+lemma rsx_lref_unit_drops (h) (G): â\88\80I,L,K,i. â\87©*[i] L â\89\98 K.â\93¤[I] â\86\92 G â\8a¢ â¬\88*[h,#i] ð\9d\90\92â\9dªLâ\9d«.
#h #G #I #L1 #K1 #i #HL1
@(rsx_lifts … (#0) … HL1) -HL1 //
qed.
(* Basic_2A1: uses: lsx_fwd_lref_be *)
lemma rsx_fwd_lref_pair_drops (h) (G):
- â\88\80L,i. G â\8a¢ â¬\88*[h,#i] ð\9d\90\92â¦\83Lâ¦\84 →
- â\88\80I,K,V. â¬\87*[i] L â\89\98 K.â\93\91{I}V â\86\92 G â\8a¢ â¬\88*[h,V] ð\9d\90\92â¦\83Kâ¦\84.
+ â\88\80L,i. G â\8a¢ â¬\88*[h,#i] ð\9d\90\92â\9dªLâ\9d« →
+ â\88\80I,K,V. â\87©*[i] L â\89\98 K.â\93\91[I]V â\86\92 G â\8a¢ â¬\88*[h,V] ð\9d\90\92â\9dªKâ\9d«.
#h #G #L #i #HL #I #K #V #HLK
lapply (rsx_inv_lifts … HL … HLK … (#0) ?) -L
/2 width=2 by rsx_fwd_pair/