| # 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 |
# apebs = # wlar, avols[v][vtblpnum3] = mapped(buf1, m), vols[v][vtblpnum3] = ⌜n⌝ , apebs[n] = mkpeb(aehdr, avhdr, buf1, m0, false), avhdr.valid?, 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), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf1, 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, m0 ≤ LEB_SIZE, m ≤ vtblpnum5, n0 ≤ # buf, vtblpnum5 ≤ LEB_SIZE, m0 ≤ vtblpnum5, m ≤ LEB_SIZE, ¬ VTBL_VOLID ∈ vols ⊦ ⟨ebm_write#(v, vtblpnum3, vtblpnum5, n0, 0, buf; avols; err0)⟩ (abs(avols, apebs, vols, q) ∧ ESUCCESS = err0)
Used simplifier rules: lf-mapped-data: ⊦ v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] = ⌜n⌝ ∧ apebs[n] = mkpeb(aehdr, avhdr, buf0, m0, boolvar) ∧ avols[v][m] = mapped(buf1, m1) ∧ abs(avols, apebs, vols, q) → buf1 = buf0;%lf-mapped-valid-vidhdr: ⊦ v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] = ⌜n⌝ ∧ valid-ebatbl(apebs, wlar, vols, n0) ∧ apebs[n] = mkpeb(aehdr, avhdr, buf, m0, boolvar) → avhdr.valid?;%lf-mapped-not-bad: ⊦ v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] = ⌜n⌝ ∧ valid-ebatbl(apebs, wlar, vols, n0) ∧ valid-wl(apebs, wlar) ∧ apebs[n] = mkpeb(aehdr, avhdr, buf, m0, boolvar) → ¬ boolvar;%let: ⊦ n ≤ n0 ∧ n0 ≤ n1 → n ≤ n1; (forward) from specification nat%ubi-io-inv-fwd: n < # apebs ⊦ apebs[n] = apeb ∧ ubi-io-inv(apebs) → ubi-io-peb-inv(apeb); (forward) from specification ubi-asm% ⊦ m < n → (n ≤ m ↔ false); (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)