syntactic components detached from basic_2 become 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 1dcbdf2a41183b5f31f6e1846431d15636d5688f..2e593f991b8040673256f39b789216ecec5174ee 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
@@ -12,34 +12,37 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/relocation/lifts_tdeq.ma".
+include "static_2/relocation/lifts_tdeq.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 UNBOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION ********)
 
 (* Properties with generic slicing ******************************************)
 
-lemma cnx_lref_atom: â\88\80h,o,G,L,i. â¬\87*[i] L â\89¡ ⋆ → ⦃G, L⦄ ⊢ ⬈[h, o] 𝐍⦃#i⦄.
+lemma cnx_lref_atom: â\88\80h,o,G,L,i. â¬\87*[i] L â\89\98 ⋆ → ⦃G, L⦄ ⊢ ⬈[h, o] 𝐍⦃#i⦄.
 #h #o #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,o,I,G,L,K,i. ⬇*[i] L ≘ K.ⓤ{I} → ⦃G, L⦄ ⊢ ⬈[h, o] 𝐍⦃#i⦄.
+#h #o #I #G #L #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
-elim (cpx_inv_lifts … H … HLK … HTU) -b -L #T0 #HTU0 #HT0
-lapply (HT … HT0) -G -K #HT0
-elim (tdeq_lifts … HT0 … HTU) -T #X #HX #HU
-<(lifts_mono … HX … HTU0) -T0 //
+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/
 qed-.
 
 (* Inversion lemmas with generic slicing ************************************)
 
 (* Basic_2A1: was: cnx_inv_delta *)
-lemma cnx_inv_lref_pair: â\88\80h,o,I,G,L,K,V,i. â¬\87*[i] L â\89¡ K.ⓑ{I}V → ⦃G, L⦄ ⊢ ⬈[h, o] 𝐍⦃#i⦄ → ⊥.
+lemma cnx_inv_lref_pair: â\88\80h,o,I,G,L,K,V,i. â¬\87*[i] L â\89\98 K.ⓑ{I}V → ⦃G, L⦄ ⊢ ⬈[h, o] 𝐍⦃#i⦄ → ⊥.
 #h #o #I #G #L #K #V #i #HLK #H
-elim (lifts_total V (ð\9d\90\94â\9d´â«¯i❵)) #W #HVW
+elim (lifts_total V (ð\9d\90\94â\9d´â\86\91i❵)) #W #HVW
 lapply (H W ?) -H /2 width=7 by cpx_delta_drops/ -HLK
 #H lapply (tdeq_inv_lref1 … H) -H #H destruct
 /2 width=5 by lifts_inv_lref2_uni_lt/
@@ -48,8 +51,6 @@ 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
-elim (cpx_lifts … H … HLK … HTU) -b -K #U0 #HTU0 #HU0
-lapply (HU … HU0) -G -L #HU0
-elim (tdeq_inv_lifts … HU0 … HTU) -U #X #HX #HT
-<(lifts_inj … HX … HTU0) -U0 //
+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/
 qed-.