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Proof step 63 from proof inv-write (previous step)

# apebs1 = # wlar, # apebs0 = # wlar, vols[v][vtblpnum4] = ⌜m0⌝ , apebs1[m0] = mkpeb(aehdr, avhdr, buf2, m, false), wlar[m0] = wl-entry(m1, used), apebs = apebs0, buf0 = buf1, buf1 = mkbuf(vtblpnum3 + n2), n = vtblpnum3, n0 = 0, vtblpnum = 0, vtblpnum0 = m0, m0 < # wlar, vtblpnum4 < # vols[v], bflipset-cons(bflipset, wlar), is-aligned(n2, EB_PAGE_SIZE), is-aligned(vtblpnum3, EB_PAGE_SIZE), ubi-io-inv(apebs1), ubi-io-inv(apebs0), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf2, m, false)), unique-sqns(apebs1), unique-sqns(apebs0), valid-ebatbl(apebs1, wlar, vols, vtblpnum1), valid-ebatbl(apebs0, wlar, vols, vtblpnum1), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs1, q), valid-eraseq(apebs0, q), valid-global-sqn(apebs1, sqnum), valid-global-sqn(apebs0, sqnum), valid-peb(mkpeb(aehdr, avhdr, buf2, m, false)), valid-peb(v, vtblpnum4, apebs0[m0]), valid-peb(v, vtblpnum4, mkpeb(aehdr, avhdr, buf2, m, false)), valid-vtbl(apebs1, vols, wlar, vtblpnum1), valid-vtbl(apebs0, vols, wlar, vtblpnum1), valid-wl(apebs1, wlar), valid-wl(apebs0, wlar), v ∈ vols, m ≤ vtblpnum3, n1 + n2 ≤ # buf, vtblpnum3 + n2 ≤ LEB_SIZE ⊦ err = ESUCCESS, m0 = vtblpnum1, n2 = 0, ubi-io-read-data-pre(vtblpnum0, vtblpnum, n0, n, buf0, apebs), vtblpnum1 ∈ q, VTBL_VOLID ∈ vols, m0 ∈ q

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ubi-io-inv-fwd: n < # apebs ⊦ apebs[n] = apeb ∧ ubi-io-inv(apebs) → ubi-io-peb-inv(apeb);%lf-used-valid-peb: ⊦ n < # wlar ∧ wlar[n] = wl-entry(m, used) ∧ apebs[n] = apeb ∧ valid-wl(apebs, wlar) → valid-peb(apeb);%lf-vtbl-info: ⊦ valid-vtbl(apebs, vols, wlar, n) ∧ valid-eraseq(wlar, q) → ¬ n ∈ q;%lf-mapped-valid-peb: ⊦ v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] = ⌜n⌝ ∧ valid-ebatbl(apebs, wlar, vols, n0) ∧ valid-wl(apebs, wlar) → valid-peb(v, m, apebs[n]);%lf-mapped-info: ⊦ v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] = ⌜n⌝ ∧ valid-ebatbl(apebs, wlar, vols, n0) → wlar[n].status = used ∧ n ≠ n0 ∧ n < # wlar;%⊦ valid-peb(v0, m0, apeb) → (valid-peb(v1, m1, apeb) ↔ v0 = v1 ∧ m0 = m1); (s)% ⊦ wl-entry(m, stat).status = stat; (s)%let: ⊦ n ≤ n0 ∧ n0 ≤ n1 → n ≤ n1; (forward) from specification nat% ⊦ ¬ m + n < m; (s)% ⊦ m < n → n ≠ 0; (s)%fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m ≤ n ↔ ¬ n < m; (ss)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic% ⊦ m < n → (n ≤ m ↔ false); (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ m ≤ m + n; (s)% ⊦ # mkbuf(n) = n; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ n + 0 = n; (s)%⊦ ubi-io-read-data-pre(n, n0, m0, n1, buf, apebs) ↔ n < # apebs ∧ ¬ apebs[n].bad ∧ n0 + n1 ≤ LEB_SIZE ∧ m0 + n1 ≤ # buf; (s)