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 0f57cbb00a990a2e114455c17b277ddf017fdcfe..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
@@ -16,23 +16,25 @@ 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❫ ⊢ ⬈𝐍[h] #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❫ ⊢ ⬈𝐍[h] #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 teqx_lifts_bi/
 qed-.
@@ -40,9 +42,9 @@ 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❫ ⊢ ⬈𝐍[h] #i → ⊥.
-#h #I #G #L #K #V #i #HLK #H
+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 (teqx_inv_lref1 … H) -H #H destruct
@@ -50,8 +52,8 @@ lapply (H W ?) -H /2 width=7 by cpx_delta_drops/ -HLK
 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 teqx_inv_lifts_bi/
 qed-.