milestone update in basic_2, update in ground and static_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_basic.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_basic.ma
index 326de686ebe5aa7e9ad960aebf71f453e2028bb6..1532cfcf67a0d169dbcbebef6b3c341faf1cde7b 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_basic.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_basic.ma
@@ -12,22 +12,23 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "static_2/relocation/lifts_tdeq.ma".
+include "static_2/relocation/lifts_teqx.ma".
 include "basic_2/rt_transition/cpx_drops_basic.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 *******)
 
 (* Advanced inversion lemmas ************************************************)
 
-lemma cnx_inv_abbr_pos (h) (o) (G) (L): ∀V,T.  ⦃G,L⦄ ⊢ ⬈[h,o] 𝐍⦃+ⓓV.T⦄ → ⊥.
-#h #o #G #L #V #U1 #H
-elim (cpx_subst h G (L.ⓓV) U1 … 0) [|*: /2 width=4 by drops_refl/ ] #U2 #T2 #HU12 #HTU2
-elim (tdeq_dec h o U1 U2) #HnU12 [ -HU12 | -HTU2 ]
-[ elim (tdeq_inv_lifts_dx … HnU12 … HTU2) -U2 #T1 #HTU1 #_ -T2
+lemma cnx_inv_abbr_pos (G) (L):
+      ∀V,T. ❪G,L❫ ⊢ ⬈𝐍 +ⓓV.T → ⊥.
+#G #L #V #U1 #H
+elim (cpx_subst G (L.ⓓV) U1 … 0) [|*: /2 width=4 by drops_refl/ ] #U2 #T2 #HU12 #HTU2
+elim (teqx_dec U1 U2) #HnU12 [ -HU12 | -HTU2 ]
+[ elim (teqx_inv_lifts_dx … HnU12 … HTU2) -U2 #T1 #HTU1 #_ -T2
   lapply (H T1 ?) -H [ /2 width=3 by cpx_zeta/ ] #H
-  /2 width=9 by tdeq_lifts_inv_pair_sn/
+  /2 width=9 by teqx_lifts_inv_pair_sn/
 | lapply (H (+ⓓV.U2) ?) -H [ /2 width=1 by cpx_bind/ ] -HU12 #H
-  elim (tdeq_inv_pair … H) -H #_ #_ /2 width=1 by/
+  elim (teqx_inv_pair … H) -H #_ #_ /2 width=1 by/
 ]
 qed-.