matita/matita/contribs/lambdadelta/basic_2A/reduction/cir_lift.ma

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  14
  15 include "basic_2A/reduction/crr_lift.ma".
  16 include "basic_2A/reduction/cir.ma".
  17
  18 (* IRREDUCIBLE TERMS FOR CONTEXT-SENSITIVE REDUCTION ************************)
  19
  20 (* Properties on relocation *************************************************)
  21
  22 lemma cir_lift: ∀G,K,T. ⦃G, K⦄ ⊢ ➡ 𝐈⦃T⦄ → ∀L,s,l,m. ⬇[s, l, m] L ≡ K →
  23                 ∀U. ⬆[l, m] T ≡ U → ⦃G, L⦄ ⊢ ➡ 𝐈⦃U⦄.
  24 /3 width=8 by crr_inv_lift/ qed.
  25
  26 lemma cir_inv_lift: ∀G,L,U. ⦃G, L⦄ ⊢ ➡ 𝐈⦃U⦄ → ∀K,s,l,m. ⬇[s, l, m] L ≡ K →
  27                     ∀T. ⬆[l, m] T ≡ U → ⦃G, K⦄ ⊢ ➡ 𝐈⦃T⦄.
  28 /3 width=8 by crr_lift/ qed-.