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Proof step 441 from proof refine-write (previous step)

# apebs = # wlar, vols[v][vtblpnum3] = ⌜n1⌝ , avols[v][vtblpnum3].mapped?, avols[v][vtblpnum3].fill < apebs[n1].fill, vtblpnum5 < apebs[n1].fill, vtblpnum3 < # vols[v], vtblpnum3 < # avols[v], n1 < # wlar, abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols), is-aligned(vtblpnum5, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum4), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum4), valid-wl(apebs, wlar), v ∈ vols, v ∈ avols, vtblpnum5 + n ≤ LEB_SIZE, n + n0 ≤ # buf, avols[v][vtblpnum3].fill ≤ vtblpnum5 ⊦ VTBL_VOLID ∈ vols

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 442:
# apebs = # wlar, vols[v][vtblpnum3] = ⌜n1⌝ , apebs[n1] = mkpeb(aehdr, avhdr, buf0, m, boolvar), avols[v][vtblpnum3].mapped?, n1 < # wlar, vtblpnum3 < # avols[v], vtblpnum3 < # vols[v], vtblpnum5 < m, avols[v][vtblpnum3].fill < m, abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols), is-aligned(n, EB_PAGE_SIZE), is-aligned(vtblpnum5, EB_PAGE_SIZE), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum4), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum4), valid-wl(apebs, wlar), v ∈ avols, v ∈ vols, avols[v][vtblpnum3].fill ≤ vtblpnum5, n + n0 ≤ # buf, vtblpnum5 + n ≤ LEB_SIZE ⊦ VTBL_VOLID ∈ vols

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[n1], aehdr, avhdr, buf0, m, 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[n1], aehdr, avhdr, buf0, m, boolvar