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Proof step 8 from proof valid-recs-in-nonempty-sqns (previous step)

# wlar = # apebs, wlar[m0].status = used, recs[avhdr.vol × avhdr.leb] = recovery-entry(m0, m1), apebs[m0] = mkpeb(aehdr, avhdr, buf, m2, boolvar), valid-sqns(avhdr.vol, avhdr.leb, apebs, m) = ∅, m0 + 1 < # apebs, m0 < # apebs, m < # apebs, m0 < m, valid-wl(subarray(apebs, 0, m), subarray(wlar, 0, m)), avhdr.vol × avhdr.leb ∈ recs ⊦

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 9:
# wlar = # apebs, apebs[m0] = mkpeb(aehdr, avhdr, buf, m2, boolvar), recs[avhdr.vol × avhdr.leb] = recovery-entry(m0, m1), wlar[m0] = wl-entry(m3, stat), stat = used, valid-sqns(avhdr.vol, avhdr.leb, apebs, m) = ∅, m0 < m, m < # apebs, m0 < # apebs, m0 + 1 < # apebs, valid-wl(subarray(apebs, 0, m), subarray(wlar, 0, m)), avhdr.vol × avhdr.leb ∈ recs ⊦

Rule argument

spec: wlentry name: elim-02 seq: ⊦ m = wle.ec ∧ stat = wle.status ↔ wle = wl-entry(m, stat) subst: [wle, m, stat] → [wlar[m0], m3, stat]

Additional information

Used simplifier rules: ⊦ m = wle.ec ∧ stat = wle.status ↔ wle = wl-entry(m, stat); (elim) Used terms: wlar[m0], m3, stat