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15 include "basic_2/computation/yprs_csups.ma".
16 include "basic_2/computation/ysteps.ma".
18 (* ITERATED STEP OF HYPER PARALLEL COMPUTATION ON CLOSURES ******************)
20 (* Properties on iterated supclosure ****************************************)
22 lemma csups_ysteps: ∀h,g,L1,L2,T1,T2. ⦃L1, T1⦄ >* ⦃L2, T2⦄ →
23 h ⊢ ⦃L1, T1⦄ •⭃*[g] ⦃L2, T2⦄.
24 #h #g #L1 #L2 #T1 #T2 #H
25 lapply (csups_fwd_cw … H) #H1
26 @ysteps_intro /2 width=1/ -H #H2 #H3 destruct
27 elim (lt_refl_false … H1)