matita/matita/contribs/lambdadelta/basic_2/etc_2A1/append/cix_append.etc

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  14
  15 include "basic_2/reduction/crx_append.ma".
  16 include "basic_2/reduction/cix.ma".
  17
  18 (* IRREDUCIBLE TERMS FOR CONTEXT-SENSITIVE EXTENDED REDUCTION ***************)
  19
  20 (* Advanced inversion lemmas ************************************************)
  21
  22 lemma cix_inv_append_sn: ∀h,g,G,L,K,T. ⦃G, K @@ L⦄ ⊢ ➡[h, g] 𝐈⦃T⦄  → ⦃G, L⦄ ⊢ ➡[h, g] 𝐈⦃T⦄.
  23 /3 width=1 by crx_append_sn/ qed-.
  24
  25 lemma cix_inv_tix: ∀h,g,G,L,T. ⦃G, L⦄ ⊢ ➡[h, g] 𝐈⦃T⦄  → ⦃G, ⋆⦄ ⊢ ➡[h, g] 𝐈⦃T⦄.
  26 /3 width=1 by trx_crx/ qed-.