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15 include "basic_2/dynamic/snv_ltpss_dx.ma".
17 (* STRATIFIED NATIVE VALIDITY FOR TERMS *************************************)
19 (* Properties about sn parallel unfold **************************************)
21 lemma snv_ltpss_sn_conf: ∀h,g,L1,L2,d,e. L1 ⊢ ▶* [d, e] L2 →
22 ∀T. ⦃h, L1⦄ ⊢ T ¡[g] → ⦃h, L2⦄ ⊢ T ¡[g].
23 #h #g #L1 #L2 #d #e #H
24 lapply (ltpss_sn_ltpssa … H) -H #H @(ltpssa_ind … H) -L2 //
25 #L #L2 #_ #HL2 #IHL1 #T1 #HT1
26 lapply (IHL1 … HT1) -IHL1 -HT1 #HT1
27 lapply (snv_ltpss_dx_conf … HT1 … HL2) -HT1 -HL2 //