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[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc_2A1 / lsubn / lsubn_nta.etc
diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/lsubn/lsubn_nta.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/lsubn/lsubn_nta.etc
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-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||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/dynamic/nta_nta.ma".
-include "basic_2/dynamic/lsubn_ldrop.ma".
-include "basic_2/dynamic/lsubn_cpcs.ma".
-
-(* LOCAL ENVIRONMENT REFINEMENT FOR NATIVE TYPE ASSIGNMENT ******************)
-
-(* Properties concerning atomic arity assignment ****************************)
-
-(* Note: the corresponding confluence property does not hold *)
-(* Basic_1: was: csubt_ty3 *)
-lemma lsubn_nta_trans: ∀h,L2,T,U. ⦃h, L2⦄ ⊢ T : U → ∀L1. h ⊢ L1 :⊑ L2 →
-                       ⦃h, L1⦄ ⊢ T : U.
-#h #L2 #T #U #H elim H -L2 -T -U
-[ //
-| #L2 #K2 #V2 #W2 #U2 #i #HLK2 #_ #WU2 #IHVW2 #L1 #HL12
-  elim (lsubn_ldrop_O1_trans … HL12 … HLK2) -L2 #X #H #HLK1
-  elim (lsubn_inv_pair2 … H) -H * #K1
-  [ #HK12 #H destruct /3 width=6/
-  | #V1 #_ #_ #_ #_ #H destruct
-  ]
-| #L2 #K2 #W2 #V2 #U2 #i #HLK2 #_ #HWU2 #IHWV2 #L1 #HL12
-  elim (lsubn_ldrop_O1_trans … HL12 … HLK2) -L2 #X #H #HLK1
-  elim (lsubn_inv_pair2 … H) -H * #K1 [ | -IHWV2 ]
-  [ #HK12 #H destruct /3 width=6/
-  | #V1 #H1V1W2 #_ #_ #H #_ destruct /2 width=6/
-  ]
-| /4 width=2/
-| /3 width=1/
-| /3 width=2/
-| /3 width=1/
-| /4 width=6/
-]
-qed.