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) (G) (L):
- ∀V,T. ❪G,L❫ ⊢ ⬈𝐍[h] +ⓓV.T → ⊥.
-#h #G #L #V #U1 #H
-elim (cpx_subst h G (L.ⓓV) U1 … 0) [|*: /2 width=4 by drops_refl/ ] #U2 #T2 #HU12 #HTU2
+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