matita/matita/contribs/lambdadelta/basic_2/static/lfxs_lex.ma

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   3 (*      ||M||                                                             *)
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  10 (*       \ /        This file is distributed under the terms of the       *)
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  14
  15 include "basic_2/relocation/lex.ma".
  16 include "basic_2/static/lfxs_fqup.ma".
  17
  18 (* GENERIC EXTENSION ON REFERRED ENTRIES OF A CONTEXT-SENSITIVE REALTION ****)
  19
  20 (* Properties with generic extension of a context-sensitive relation ********)
  21
  22 lemma lfxs_lex: ∀R,L1,L2. L1 ⪤[R] L2 → ∀T. L1 ⪤*[R, T] L2.
  23 #R #L1 #L2 * #f #Hf #HL12 #T
  24 elim (frees_total L1 T) #g #Hg
  25 /4 width=5 by lexs_sdj, sdj_isid_sn, ex2_intro/
  26 qed.