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4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
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15 include "basic_2A/reduction/crr_lift.ma".
16 include "basic_2A/reduction/cir.ma".
18 (* IRREDUCIBLE TERMS FOR CONTEXT-SENSITIVE REDUCTION ************************)
20 (* Properties on relocation *************************************************)
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.
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-.