milestone update in basic_2, update in ground and static_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / rsx_drops.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_drops.ma
index 80cc2f1f74669726d69d99e9dfdb45eda9d981c3..b8d78ca674dbb34472a340c1584c82e840bd0330 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_drops.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_drops.ma
@@ -12,55 +12,59 @@
 (*                                                                        *)
 (**************************************************************************)
 
-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".
 
-(* STRONGLY NORMALIZING REFERRED LOCAL ENV.S FOR UNBOUND RT-TRANSITION ******)
+(* STRONGLY NORMALIZING REFERRED LOCAL ENVS FOR EXTENDED RT-TRANSITION ******)
 
 (* Properties with generic relocation ***************************************)
 
 (* Note: this uses length *)
 (* Basic_2A1: uses: lsx_lift_le lsx_lift_ge *)
-lemma rsx_lifts (h) (G): d_liftable1_isuni … (λL,T. G ⊢ ⬈*[h,T] 𝐒⦃L⦄).
-#h #G #K #T #H @(rsx_ind … H) -K
+lemma rsx_lifts (G):
+      d_liftable1_isuni … (λL,T. G ⊢ ⬈*𝐒[T] L).
+#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 … (λL,T. G ⊢ ⬈*[h,T] 𝐒⦃L⦄).
-#h #G #L #U #H @(rsx_ind … H) -L
+lemma rsx_inv_lifts (G):
+      d_deliftable1_isuni … (λL,T. G ⊢ ⬈*𝐒[T] L).
+#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⦄.
-#h #G #L1 #i #HL1
+lemma rsx_lref_atom_drops (G):
+      ∀L,i. ⇩*[Ⓕ,𝐔❨i❩] L ≘ ⋆ → G ⊢ ⬈*𝐒[#i] L.
+#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⦄.
-#h #G #I #L1 #K1 #i #HL1
+lemma rsx_lref_unit_drops (G):
+      ∀I,L,K,i. ⇩[i] L ≘ K.ⓤ[I] → G ⊢ ⬈*𝐒[#i] L.
+#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):
-      ∀L,i. G ⊢ ⬈*[h,#i] 𝐒⦃L⦄ →
-      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.
-#h #G #L #i #HL #I #K #V #HLK
+lemma rsx_fwd_lref_pair_drops (G):
+      ∀L,i. G ⊢ ⬈*𝐒[#i] L →
+      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*ð\9d\90\92[V] K.
+#G #L #i #HL #I #K #V #HLK
 lapply (rsx_inv_lifts … HL … HLK … (#0) ?) -L
 /2 width=2 by rsx_fwd_pair/
 qed-.