]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/static/lsuba_aaa.ma
syntactic components detached from basic_2 become static_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / static / lsuba_aaa.ma
diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_aaa.ma
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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/static/aaa_aaa.ma".
-include "basic_2/static/lsuba.ma".
-
-(* RESTRICTED REFINEMENT FOR ATOMIC ARITY ASSIGNMENT ************************)
-
-(* Properties with atomic arity assignment **********************************)
-
-lemma lsuba_aaa_conf: ∀G,L1,V,A. ⦃G, L1⦄ ⊢ V ⁝ A →
-                      ∀L2. G ⊢ L1 ⫃⁝ L2 → ⦃G, L2⦄ ⊢ V ⁝ A.
-#G #L1 #V #A #H elim H -G -L1 -V -A
-[ //
-| #I #G #L1 #V #A #HA #IH #L2 #H
-  elim (lsuba_inv_bind1 … H) -H * /3 width=1 by aaa_zero/
-  #L0 #W0 #V0 #A0 #HV0 #HW0 #HL10 #H1 #H2 destruct
-  lapply (aaa_mono … HV0 … HA) #H destruct -V0 -L1 /2 width=1 by aaa_zero/
-| #I #G #K1 #A #i #_ #IH #L2 #H
-  elim (lsuba_inv_bind1 … H) -H * /3 width=1 by aaa_lref/
-| /4 width=2 by lsuba_bind, aaa_abbr/
-| /4 width=1 by lsuba_bind, aaa_abst/
-| /3 width=3 by aaa_appl/
-| /3 width=1 by aaa_cast/
-]
-qed-.
-
-lemma lsuba_aaa_trans: ∀G,L2,V,A. ⦃G, L2⦄ ⊢ V ⁝ A →
-                       ∀L1. G ⊢ L1 ⫃⁝ L2 → ⦃G, L1⦄ ⊢ V ⁝ A.
-#G #L2 #V #A #H elim H -G -L2 -V -A
-[ //
-| #I #G #L2 #V #A #HA #IH #L1 #H
-  elim (lsuba_inv_bind2 … H) -H * /3 width=1 by aaa_zero/
-  #L0 #V0 #W0 #A0 #HV0 #HW0 #HL02 #H1 #H2 destruct
-  lapply (aaa_mono … HW0 … HA) #H destruct -L2 /2 width=1 by aaa_zero/
-| #I #G #K2 #A #i #_ #IH #L1 #H
-  elim (lsuba_inv_bind2 … H) -H * /3 width=1 by aaa_lref/
-| /4 width=2 by lsuba_bind, aaa_abbr/
-| /4 width=1 by lsuba_bind, aaa_abst/
-| /3 width=3 by aaa_appl/
-| /3 width=1 by aaa_cast/
-]
-qed-.