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 c4f6113ce7e70975937776885ac7e51248c43388..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
@@ -17,15 +17,15 @@ 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 ⊢ ⬈*𝐒[h,T] 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 reqx_lifts_bi, lpx_fwd_length/
@@ -34,9 +34,9 @@ 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 ⊢ ⬈*𝐒[h,T] 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 reqx_inv_lifts_bi/
@@ -45,26 +45,26 @@ qed-.
 (* Advanced properties ******************************************************)
 
 (* Basic_2A1: uses: lsx_lref_free *)
-lemma rsx_lref_atom_drops (h) (G):
-      ∀L,i. ⇩*[Ⓕ,𝐔❨i❩] L ≘ ⋆ → G ⊢ ⬈*𝐒[h,#i] 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_drops (h) (G):
-      ∀I,L,K,i. ⇩[i] L ≘ K.ⓤ[I] → G ⊢ ⬈*𝐒[h,#i] 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_drops (h) (G):
-      ∀L,i. G ⊢ ⬈*𝐒[h,#i] L →
-      ∀I,K,V. ⇩[i] L ≘ K.ⓑ[I]V → G ⊢ ⬈*𝐒[h,V] K.
-#h #G #L #i #HL #I #K #V #HLK
+lemma rsx_fwd_lref_pair_drops (G):
+      ∀L,i. G ⊢ ⬈*𝐒[#i] L →
+      ∀I,K,V. ⇩[i] L ≘ K.ⓑ[I]V → G ⊢ ⬈*𝐒[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-.