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Proof step 47 from proof prepost-get-peb (previous step)

# apebs = # wlar, apebs[m].fill = 0, apebs[m].vidhdr = empty, wlar[m] = wl-entry(free-ecs(wlar).min, free), apebs[m].echdr.valid?, m < # wlar, bflipset-cons(bflipset, wlar), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum0), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum0), valid-wl(apebs, wlar) ⊦ # free-ecs(wlar) = 0, free-ecs(wlar) = ∅, vtblpnum0 = m, vtblpnum0 ∈ q, VTBL_VOLID ∈ vols, ∃ m. m < # wlar ∧ wlar[m].ec < free-ecs(wlar).min + WL_THRESHOLD ∧ wlar[m].status = free

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

spec: apeb name: elim seq: ⊦ ( ( (aehdr = apeb.echdr ∧ avhdr = apeb.vidhdr) ∧ buf = apeb.data) ∧ m = apeb.fill) ∧ (boolvar ↔ apeb.bad) ↔ apeb = mkpeb(aehdr, avhdr, buf, m, boolvar) subst: [apeb, aehdr, avhdr, buf, m, boolvar] → [apebs[m], aehdr, avhdr, buf, m0, boolvar]

Additional information

Used simplifier rules: ⊦ ( ((aehdr = apeb.echdr ∧ avhdr = apeb.vidhdr) ∧ buf = apeb.data) ∧ m = apeb.fill) ∧ (boolvar ↔ apeb.bad) ↔ apeb = mkpeb(aehdr, avhdr, buf, m, boolvar); (elim) Used terms: apebs[m], aehdr, avhdr, buf, m0, boolvar