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Proof step 424 from proof refine-write (previous step)

# apebs = # wlar, vols[v][vtblpnum3] = ⌜n⌝ , avols[v][vtblpnum3] = mapped(buf0, m), n < # wlar, vtblpnum3 < # vols[v], vtblpnum3 < # avols[v], abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols), 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 ∈ vols, v ∈ avols, m ≤ LEB_SIZE, apebs[n].fill ≤ LEB_SIZE, apebs[n].fill ≤ vtblpnum5, vtblpnum5 ≤ LEB_SIZE, n0 ≤ # buf, m ≤ vtblpnum5, ¬ VTBL_VOLID ∈ vols ⊦ ⟨ebm_write#(v, vtblpnum3, vtblpnum5, n0, 0, buf; avols; err0)⟩ (abs(avols, apebs, vols, q) ∧ ESUCCESS = err0)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 425:
# apebs = # wlar, avols[v][vtblpnum3] = mapped(buf0, m), vols[v][vtblpnum3] = ⌜n⌝ , apebs[n] = mkpeb(aehdr, avhdr, buf1, m0, boolvar), vtblpnum3 < # avols[v], vtblpnum3 < # vols[v], n < # wlar, abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols), is-aligned(vtblpnum5, 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 ∈ avols, v ∈ vols, m ≤ vtblpnum5, n0 ≤ # buf, vtblpnum5 ≤ LEB_SIZE, m0 ≤ vtblpnum5, m0 ≤ LEB_SIZE, m ≤ LEB_SIZE ⊦ ⟨ebm_write#(v, vtblpnum3, vtblpnum5, n0, 0, buf; avols; err0)⟩ (abs(avols, apebs, vols, q) ∧ ESUCCESS = err0), 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[n], aehdr, avhdr, buf1, 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[n], aehdr, avhdr, buf1, m0, boolvar