matita/matita/contribs/lambdadelta/basic_2/computation/lsubc_lsuba.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
   7 (*      ||T||         The HELM team.                                      *)
   8 (*      ||A||         http://helm.cs.unibo.it                             *)
   9 (*      \   /                                                             *)
  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
  12 (*                                                                        *)
  13 (**************************************************************************)
  14
  15 include "basic_2/static/lsuba.ma".
  16 include "basic_2/computation/acp_aaa.ma".
  17
  18 (* LOCAL ENVIRONMENT REFINEMENT FOR ABSTRACT CANDIDATES OF REDUCIBILITY *****)
  19
  20 (* properties concerning lenv refinement for atomic arity assignment ********)
  21
  22 lemma lsuba_lsubc: ∀RR,RS,RP. acp RR RS RP → acr RR RS RP (λL,T. RP L T) →
  23                    ∀L1,L2. L1 ⁝⊑ L2 → L1 ⊑[RP] L2.
  24 #RR #RS #RP #H1RP #H2RP #L1 #L2 #H elim H -L1 -L2 // /2 width=1/
  25 #L1 #L2 #W #V #A #H elim (aaa_inv_cast … H) -H /3 width=4/
  26 qed.