(* *)
(**************************************************************************)
-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".
#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/
+/5 width=9 by reqx_lifts_bi, lpx_fwd_length/
qed-.
(* Inversion lemmas on relocation *******************************************)
#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 (h) (G): ∀L,i. ⬇*[Ⓕ,𝐔❴i❵] L ≘ ⋆ → G ⊢ ⬈*[h,#i] 𝐒⦃L⦄.
+lemma rsx_lref_atom_drops (h) (G): ∀L,i. ⇩*[Ⓕ,𝐔❴i❵] L ≘ ⋆ → G ⊢ ⬈*[h,#i] 𝐒⦃L⦄.
#h #G #L1 #i #HL1
@(rsx_lifts … (#0) … HL1) -HL1 //
qed.
(* Basic_2A1: uses: lsx_lref_skip *)
-lemma rsx_lref_unit (h) (G): ∀I,L,K,i. ⬇*[i] L ≘ K.ⓤ{I} → G ⊢ ⬈*[h,#i] 𝐒⦃L⦄.
+lemma rsx_lref_unit_drops (h) (G): ∀I,L,K,i. ⇩*[i] L ≘ K.ⓤ{I} → G ⊢ ⬈*[h,#i] 𝐒⦃L⦄.
#h #G #I #L1 #K1 #i #HL1
@(rsx_lifts … (#0) … HL1) -HL1 //
qed.
(* Advanced forward lemmas **************************************************)
(* Basic_2A1: uses: lsx_fwd_lref_be *)
-lemma rsx_fwd_lref_pair (h) (G):
+lemma rsx_fwd_lref_pair_drops (h) (G):
∀L,i. G ⊢ ⬈*[h,#i] 𝐒⦃L⦄ →
- â\88\80I,K,V. â¬\87*[i] L ≘ K.ⓑ{I}V → G ⊢ ⬈*[h,V] 𝐒⦃K⦄.
+ â\88\80I,K,V. â\87©*[i] L ≘ K.ⓑ{I}V → G ⊢ ⬈*[h,V] 𝐒⦃K⦄.
#h #G #L #i #HL #I #K #V #HLK
lapply (rsx_inv_lifts … HL … HLK … (#0) ?) -L
/2 width=2 by rsx_fwd_pair/