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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/computation/xprs_cprs.ma".
16 include "basic_2/computation/yprs.ma".
18 (* HYPER PARALLEL COMPUTATION ON CLOSURES ***********************************)
20 (* Properties on extended parallel computation for terms ********************)
22 lemma xprs_yprs: ∀h,g,L,T1,T2. ⦃h, L⦄ ⊢ T1 •➡*[g] T2 →
23 h ⊢ ⦃L, T1⦄ •⥸*[g] ⦃L, T2⦄.
24 #h #g #L #T1 #T2 #H @(xprs_ind … H) -T2 // /3 width=4/
27 lemma cprs_yprs: ∀h,g,L,T1,T2. L ⊢ T1 ➡* T2 → h ⊢ ⦃L, T1⦄ •⥸*[g] ⦃L, T2⦄.