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4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
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15 include "basic_2/reduction/crx_append.ma".
16 include "basic_2/reduction/cix.ma".
18 (* CONTEXT-SENSITIVE EXTENDED IRREDUCIBLE TERMS *****************************)
20 (* Advanced inversion lemmas ************************************************)
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-.
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-.