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

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  14
  15 include "basic_2/reduction/crr_append.ma".
  16 include "basic_2/reduction/cir.ma".
  17
  18 (* IRREDUCIBLE TERMS FOR CONTEXT-SENSITIVE REDUCTION ************************)
  19
  20 (* Advanved properties ******************************************************)
  21
  22 lemma cir_labst_last: ∀G,L,T,W. ⦃G, L⦄ ⊢ ➡ 𝐈⦃T⦄  → ⦃G, ⋆.ⓛW @@ L⦄ ⊢ ➡ 𝐈⦃T⦄.
  23 /3 width=2 by crr_inv_labst_last/ qed.
  24
  25 lemma cir_tif: ∀G,T,W. ⦃G, ⋆⦄ ⊢ ➡ 𝐈⦃T⦄ → ⦃G, ⋆.ⓛW⦄ ⊢ ➡ 𝐈⦃T⦄.
  26 /3 width=2 by crr_inv_trr/ qed.
  27
  28 (* Advanced inversion lemmas ************************************************)
  29
  30 lemma cir_inv_append_sn: ∀G,L,K,T. ⦃G, K @@ L⦄ ⊢ ➡ 𝐈⦃T⦄  → ⦃G, L⦄ ⊢ ➡ 𝐈⦃T⦄.
  31 /3 width=1/ qed-.
  32
  33 lemma cir_inv_tir: ∀G,T,W. ⦃G, ⋆.ⓛW⦄ ⊢ ➡ 𝐈⦃T⦄  → ⦃G, ⋆⦄ ⊢ ➡ 𝐈⦃T⦄.
  34 /3 width=1/ qed-.