update in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc_2A1 / nta / nta_aaa.etc

diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/nta/nta_aaa.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/nta/nta_aaa.etc
deleted file mode 100644 (file)
index 9628569..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/nta/nta_aaa.etc
+++ /dev/null
@@ -1,49 +0,0 @@
-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||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 "basic_2/computation/csn_aaa.ma".
-include "basic_2/equivalence/lcpcs_aaa.ma".
-include "basic_2/dynamic/nta.ma".
-
-(* NATIVE TYPE ASSIGNMENT ON TERMS ******************************************)
-
-(* Forward lemmas on atomic arity assignment for terms **********************)
-
-lemma nta_fwd_aaa: ∀h,L,T,U. ⦃h, L⦄ ⊢ T : U → ∃∃A. L ⊢ T ⁝ A & L ⊢ U ⁝ A.
-#h #L #T #U #H elim H -L -T -U
-[ /2 width=3/
-| #L #K #V #W #U #i #HLK #_ #HWU * #B #HV #HW
-  lapply (ldrop_fwd_ldrop2 … HLK) /3 width=9/
-| #L #K #W #V #U #i #HLK #_ #HWU * #B #HW #_ -V
-  lapply (ldrop_fwd_ldrop2 … HLK) /3 width=9/
-| * #L #V #W #T #U #_ #_ * #B #HV #HW * #A #HT #HU
-  [ /3 width=3/ | /3 width=5/ ]
-| #L #V #W #T #U #_ #_ * #B #HV #HW * #X #H1 #H2
-  elim (aaa_inv_abst … H1) -H1 #B1 #A1 #HW1 #HT #H destruct
-  elim (aaa_inv_abst … H2) -H2 #B2 #A #_ #HU #H destruct
-  lapply (aaa_mono … HW1 … HW) -HW1 #H destruct /4 width=5/
-| #L #V #W #T #U #_ #_ * #X #HT #HUX * #A #H #_ -W
-  elim (aaa_inv_appl … H) -H #B #HV #HUA
-  lapply (aaa_mono … HUA … HUX) -HUX #H destruct /3 width=5/
-| #L #T #U #_ * #A #HT #HU /3 width=3/
-| #L #T #U1 #U2 #V2 #_ #HU12 #_ * #X #HT #HU1 * #A #HU2 #_
-  lapply (aaa_cpcs_mono … HU12 … HU1 … HU2) -U1 #H destruct /2 width=3/
-]
-qed-.
-
-(* Note: this is the stong normalization property *)
-(* Basic_1: was only: ty3_sn3 *)
-theorem nta_fwd_csn: ∀h,L,T,U. ⦃h, L⦄ ⊢ T : U → L ⊢ ⬇* T ∧ L ⊢ ⬇* U.
-#h #L #T #U #H elim (nta_fwd_aaa … H) -H /3 width=2/
-qed-.