matita/matita/contribs/lambdadelta/basic_2/reduction/cix_append.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
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   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/reduction/crx_append.ma".
  16 include "basic_2/reduction/cix.ma".
  17
  18 (* CONTEXT-SENSITIVE EXTENDED IRREDUCIBLE TERMS *****************************)
  19
  20 (* Advanced inversion lemmas ************************************************)
  21
  22 lemma cix_inv_append_sn: ∀h,g,L,K,T. ⦃h, K @@ L⦄ ⊢ 𝐈[g]⦃T⦄  → ⦃h, L⦄ ⊢ 𝐈[g]⦃T⦄.
  23 /3 width=1/ qed-.
  24
  25 lemma cix_inv_tix: ∀h,g,L,T. ⦃h, L⦄ ⊢ 𝐈[g]⦃T⦄  → ⦃h, ⋆⦄ ⊢ 𝐈[g]⦃T⦄.
  26 /3 width=1/ qed-.