X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fetc%2Fcpue%2Fcnu_drops.etc;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fetc%2Fcpue%2Fcnu_drops.etc;h=97e13d22a3d9b144cbcd53601bed2c42e8f6845a;hb=bac74b5cff042d37e1abc9c961a6c41094b8a294;hp=0000000000000000000000000000000000000000;hpb=cacd7323994f7621286dbfd93bbf4c50acfbe918;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc/cpue/cnu_drops.etc b/matita/matita/contribs/lambdadelta/basic_2/etc/cpue/cnu_drops.etc
new file mode 100644
index 000000000..97e13d22a
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2/etc/cpue/cnu_drops.etc
@@ -0,0 +1,52 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||M||                                                             *)
+(*      ||A||       A project by Andrea Asperti                           *)
+(*      ||T||                                                             *)
+(*      ||I||       Developers:                                           *)
+(*      ||T||         The HELM team.                                      *)
+(*      ||A||         http://helm.cs.unibo.it                             *)
+(*      \   /                                                             *)
+(*       \ /        This file is distributed under the terms of the       *)
+(*        v         GNU General Public License Version 2                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+include "static_2/relocation/lifts_tueq.ma".
+include "basic_2/rt_transition/cpm_drops.ma".
+include "basic_2/rt_transition/cnu.ma".
+
+(* NORMAL TERMS FOR T-UNUNBOUND RT-TRANSITION *******************************)
+
+(* Advanced properties ******************************************************)
+
+lemma cnu_atom_drops (h) (b) (G) (L):
+      ∀i. ⬇*[b,𝐔❴i❵] L ≘ ⋆ → ⦃G,L⦄ ⊢ ⥲[h] 𝐍⦃#i⦄.
+#h #b #G #L #i #Hi #n #X #H
+elim (cpm_inv_lref1_drops … H) -H * [ // || #m ] #K #V1 #V2 #HLK
+lapply (drops_gen b … HLK) -HLK #HLK
+lapply (drops_mono … Hi … HLK) -L #H destruct
+qed.
+
+lemma cnu_unit_drops (h) (I) (G) (L):
+      ∀K,i. ⬇*[i] L ≘ K.ⓤ{I} → ⦃G,L⦄ ⊢ ⥲[h] 𝐍⦃#i⦄.
+#h #I #G #L #K #i #HLK #n #X #H
+elim (cpm_inv_lref1_drops … H) -H * [ // || #m ] #Y #V1 #V2 #HLY
+lapply (drops_mono … HLK … HLY) -L #H destruct
+qed.
+
+(* Properties with generic relocation ***************************************)
+
+lemma cnu_lifts (h) (G): d_liftable1 … (cnu h G).
+#h #G #K #T #HT #b #f #L #HLK #U #HTU #n #U0 #H
+elim (cpm_inv_lifts_sn … H … HLK … HTU) -b -L #T0 #HTU0 #HT0
+lapply (HT … HT0) -G -K /2 width=6 by tueq_lifts_bi/
+qed-.
+
+(* Inversion lemmas with generic relocation *********************************)
+
+lemma cnu_inv_lifts (h) (G): d_deliftable1 … (cnu h G).
+#h #G #L #U #HU #b #f #K #HLK #T #HTU #n #T0 #H
+elim (cpm_lifts_sn … H … HLK … HTU) -b -K #U0 #HTU0 #HU0
+lapply (HU … HU0) -G -L /2 width=6 by tueq_inv_lifts_bi/
+qed-.