X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Frsx_drops.ma;h=b8d78ca674dbb34472a340c1584c82e840bd0330;hb=3c7b4071a9ac096b02334c1d47468776b948e2de;hp=55999f8f8bc7eacc7ee9eef7e3f8fe75dfa61538;hpb=25c634037771dff0138e5e8e3d4378183ff49b86;p=helm.git

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 55999f8f8..b8d78ca67 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_drops.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_drops.ma
@@ -17,14 +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 ⊢ ⬈*[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 reqx_lifts_bi, lpx_fwd_length/
@@ -33,8 +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 ⊢ ⬈*[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 reqx_inv_lifts_bi/
@@ -43,24 +45,26 @@ qed-.
 (* Advanced properties ******************************************************)
 
 (* Basic_2A1: uses: lsx_lref_free *)
-lemma rsx_lref_atom_drops (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_drops (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_drops (h) (G):
-      ∀L,i. G ⊢ ⬈*[h,#i] 𝐒❪L❫ →
-      ∀I,K,V. ⇩[i] L ≘ K.ⓑ[I]V → G ⊢ ⬈*[h,V] 𝐒❪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-.