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4 (* ||A|| A project by Andrea Asperti *)
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7 (* ||T|| The HELM team. *)
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15 include "basic_2/relocation/lifts_vector.ma".
16 include "basic_2/relocation/drops.ma".
18 (* GENERAL SLICING FOR LOCAL ENVIRONMENTS ***********************************)
20 definition d_liftable1_all: relation2 lenv term → predicate bool ≝
21 λR,c. ∀L,K,f. ⬇*[c, f] L ≡ K →
22 ∀Ts,Us. ⬆*[f] Ts ≡ Us →
23 all … (R K) Ts → all … (R L) Us.
25 (* Properties on general relocation for term vectors ************************)
27 (* Basic_2A1: was: d1_liftables_liftables_all *)
28 lemma d1_liftable_liftable_all: ∀R,c. d_liftable1 R c → d_liftable1_all R c.
29 #R #c #HR #L #K #f #HLK #Ts #Us #H elim H -Ts -Us normalize //
30 #Ts #Us #T #U #HTU #_ #IHTUs * /3 width=7 by conj/