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Proof step 410 from proof refine-write (previous step)

# apebs = # wlar, # buf0 = vtblpnum5 + n, wlar[n4] = wl-entry(m1, used), avols[v][vtblpnum3] = mapped(buf2, m), vols[v][vtblpnum3] = ⌜n4⌝ , apebs[n4] = mkpeb(aehdr, avhdr, buf2, m0, false), avhdr.valid?, aehdr.valid?, vtblpnum3 < # vols[v], n4 < # wlar, vtblpnum3 < # avols[v], n0 < n, abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols), is-aligned(n, EB_PAGE_SIZE), is-aligned(vtblpnum5, EB_PAGE_SIZE), is-aligned(n0, EB_PAGE_SIZE), range=(buf0, vtblpnum5, mkbuf(vtblpnum5 + n), vtblpnum5, n), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf2, m0, false)), 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, m0 ≤ vtblpnum5, m ≤ vtblpnum5, n + n3 ≤ # buf3, n3 + n ≤ # buf3, vtblpnum5 + n ≤ LEB_SIZE, m0 ≤ LEB_SIZE, m ≤ LEB_SIZE, vtblpnum5 ≤ LEB_SIZE, ⌊err3⌋ , ⌊err1⌋ ⊦ 0 < n ∧ is-aligned(0, EB_PAGE_SIZE) ∧ ⟨if 0 ≠ 0 then avols[v][vtblpnum3] := mapped(subarray(avols[v][vtblpnum3].data, 0, vtblpnum5) + subarray(buf3, n3, 0) + mkempbuf(LEB_SIZE - vtblpnum5 - 0), vtblpnum5 + 0)⟩ abs(avols, apebs, vols, q), vtblpnum4 = n4, VTBL_VOLID ∈ vols

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 411:
# buf0 = vtblpnum5 + n, # apebs = # wlar, apebs[n4] = mkpeb(aehdr, avhdr, buf2, m0, false), vols[v][vtblpnum3] = ⌜n4⌝ , avols[v][vtblpnum3] = mapped(buf2, m), wlar[n4] = wl-entry(m1, used), vtblpnum4 ≠ n4, aehdr.valid?, avhdr.valid?, n0 < n, vtblpnum3 < # avols[v], n4 < # wlar, vtblpnum3 < # vols[v], abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols), is-aligned(n0, EB_PAGE_SIZE), is-aligned(vtblpnum5, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), range=(buf0, vtblpnum5, mkbuf(vtblpnum5 + n), vtblpnum5, n), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf2, m0, false)), 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, vtblpnum5 ≤ LEB_SIZE, m ≤ LEB_SIZE, m0 ≤ LEB_SIZE, vtblpnum5 + n ≤ LEB_SIZE, n3 + n ≤ # buf3, n + n3 ≤ # buf3, m ≤ vtblpnum5, m0 ≤ vtblpnum5, ⌊err1⌋ , ⌊err3⌋ , ¬ VTBL_VOLID ∈ vols ⊦ ⟨skip⟩ true

Rule argument

Additional information

Used simplifier rules: c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ n + 0 = n; (s)%n ≠ 0 ⊦ is-aligned(0, n); (s)% ⊦ EB_PAGE_SIZE ≠ 0; (s)% ⊦ m < n → n ≠ 0; (s)% ⊦ 0 < m ↔ m ≠ 0; (s)