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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_2A/multiple/llpx_sn_drop.ma".
17 (* LAZY SN POINTWISE EXTENSION OF A CONTEXT-SENSITIVE REALTION FOR TERMS ****)
19 (* Properties about transitive closure **************************************)
21 lemma llpx_sn_TC_pair_dx: ∀R. (∀L. reflexive … (R L)) →
22 ∀I,L,V1,V2,T. LTC … R L V1 V2 →
23 LTC … (llpx_sn R 0) T (L.ⓑ{I}V1) (L.ⓑ{I}V2).
24 #R #HR #I #L #V1 #V2 #T #H @(TC_star_ind … V2 H) -V2
25 /4 width=9 by llpx_sn_bind_repl_O, llpx_sn_refl, step, inj/