X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Fcnx_drops.ma;h=57cb5d216cd9bcd8be7636265486e67e8679ddc2;hb=3c7b4071a9ac096b02334c1d47468776b948e2de;hp=e532b364a13f277bc5087a985890f053f8cf0f81;hpb=db020b4218272e2e35641ce3bc3b0a9b3afda899;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_drops.ma
index e532b364a..57cb5d216 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_drops.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_drops.ma
@@ -12,45 +12,48 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "static_2/relocation/lifts_tdeq.ma".
+include "static_2/relocation/lifts_teqx.ma".
 include "basic_2/rt_transition/cpx_drops.ma".
 include "basic_2/rt_transition/cnx.ma".
 
-(* NORMAL TERMS FOR UNBOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION ********)
+(* NORMAL TERMS FOR EXTENDED CONTEXT-SENSITIVE PARALLEL RT-TRANSITION *******)
 
 (* Properties with generic slicing ******************************************)
 
-lemma cnx_lref_atom: ∀h,G,L,i. ⬇*[i] L ≘ ⋆ → ⦃G,L⦄ ⊢ ⬈[h] 𝐍⦃#i⦄.
-#h #G #L #i #Hi #X #H elim (cpx_inv_lref1_drops … H) -H // *
+lemma cnx_lref_atom (G) (L):
+      ∀i. ⇩[i] L ≘ ⋆ → ❪G,L❫ ⊢ ⬈𝐍 #i.
+#G #L #i #Hi #X #H elim (cpx_inv_lref1_drops … H) -H // *
 #I #K #V1 #V2 #HLK lapply (drops_mono … Hi … HLK) -L #H destruct
 qed.
 
-lemma cnx_lref_unit: ∀h,I,G,L,K,i. ⬇*[i] L ≘ K.ⓤ{I} → ⦃G,L⦄ ⊢ ⬈[h] 𝐍⦃#i⦄.
-#h #I #G #L #K #i #HLK #X #H elim (cpx_inv_lref1_drops … H) -H // *
+lemma cnx_lref_unit (G) (L):
+      ∀I,K,i. ⇩[i] L ≘ K.ⓤ[I] → ❪G,L❫ ⊢ ⬈𝐍 #i.
+#G #L #I #K #i #HLK #X #H elim (cpx_inv_lref1_drops … H) -H // *
 #Z #Y #V1 #V2 #HLY lapply (drops_mono … HLK … HLY) -L #H destruct
 qed.
 
 (* Basic_2A1: includes: cnx_lift *)
-lemma cnx_lifts: ∀h,G. d_liftable1 … (cnx h G).
-#h #G #K #T #HT #b #f #L #HLK #U #HTU #U0 #H
+lemma cnx_lifts (G): d_liftable1 … (cnx G).
+#G #K #T #HT #b #f #L #HLK #U #HTU #U0 #H
 elim (cpx_inv_lifts_sn … H … HLK … HTU) -b -L #T0 #HTU0 #HT0
-lapply (HT … HT0) -G -K /2 width=6 by tdeq_lifts_bi/
+lapply (HT … HT0) -G -K /2 width=6 by teqx_lifts_bi/
 qed-.
 
 (* Inversion lemmas with generic slicing ************************************)
 
 (* Basic_2A1: was: cnx_inv_delta *)
-lemma cnx_inv_lref_pair: ∀h,I,G,L,K,V,i. ⬇*[i] L ≘ K.ⓑ{I}V → ⦃G,L⦄ ⊢ ⬈[h] 𝐍⦃#i⦄ → ⊥.
-#h #I #G #L #K #V #i #HLK #H
-elim (lifts_total V (𝐔❴↑i❵)) #W #HVW
+lemma cnx_inv_lref_pair (G) (L):
+      ∀I,K,V,i. ⇩[i] L ≘ K.ⓑ[I]V → ❪G,L❫ ⊢ ⬈𝐍 #i → ⊥.
+#G #L #I #K #V #i #HLK #H
+elim (lifts_total V (𝐔❨↑i❩)) #W #HVW
 lapply (H W ?) -H /2 width=7 by cpx_delta_drops/ -HLK
-#H lapply (tdeq_inv_lref1 … H) -H #H destruct
+#H lapply (teqx_inv_lref1 … H) -H #H destruct
 /2 width=5 by lifts_inv_lref2_uni_lt/
 qed-.
 
 (* Basic_2A1: includes: cnx_inv_lift *)
-lemma cnx_inv_lifts: ∀h,G. d_deliftable1 … (cnx h G).
-#h #G #L #U #HU #b #f #K #HLK #T #HTU #T0 #H
+lemma cnx_inv_lifts (G): d_deliftable1 … (cnx G).
+#G #L #U #HU #b #f #K #HLK #T #HTU #T0 #H
 elim (cpx_lifts_sn … H … HLK … HTU) -b -K #U0 #HTU0 #HU0
-lapply (HU … HU0) -G -L /2 width=6 by tdeq_inv_lifts_bi/
+lapply (HU … HU0) -G -L /2 width=6 by teqx_inv_lifts_bi/
 qed-.