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15 include "static_2/static/lsubd.ma".
16 include "basic_2/dynamic/lsubsv.ma".
18 (* LOCAL ENVIRONMENT REFINEMENT FOR STRATIFIED NATIVE VALIDITY **************)
20 (* Forward lemmas on lenv refinement for degree assignment ******************)
22 lemma lsubsv_fwd_lsubd: ∀h,o,G,L1,L2. G ⊢ L1 ⫃¡[h, o] L2 → G ⊢ L1 ⫃▪[h, o] L2.
23 #h #o #G #L1 #L2 #H elim H -L1 -L2 /2 width=3 by lsubd_pair, lsubd_beta/