milestone update in basic_2, update in ground and static_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cnx_drops.ma

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 21a642e5aa1533dbc1183f5f76cb0a3a55f105f0..57cb5d216cd9bcd8be7636265486e67e8679ddc2 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_drops.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_drops.ma
@@ -12,40 +12,48 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_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 UNCOUNTED CONTEXT-SENSITIVE PARALLEL RT-TRANSITION ******)
+(* NORMAL TERMS FOR EXTENDED CONTEXT-SENSITIVE PARALLEL RT-TRANSITION *******)
 
 (* Properties with generic slicing ******************************************)
 
-lemma cnx_lref_atom: ∀h,o,G,L,i. ⬇*[i] L ≡ ⋆ → ⦃G, L⦄ ⊢ ⬈[h, o] 𝐍⦃#i⦄.
-#h #o #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 (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,o,G. d_liftable1 … (cnx h o G).
-#h #o #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,o,I,G,L,K,V,i. ⬇*[i] L ≡ K.ⓑ{I}V → ⦃G, L⦄ ⊢ ⬈[h, o] 𝐍⦃#i⦄ → ⊥.
-#h #o #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,o,G. d_deliftable1 … (cnx h o G).
-#h #o #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-.