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Theorem prepost-write-multiple

ubi-cons(apebs, vols, wlar, q, bflipset, vtblpnum, sqnum), ubi-io-inv(apebs), v ∈ vols, m < # vols[v], vols[v][m] = unmapped, m1 + m2 ≤ # buf, m0 + m1 ≤ LEB_SIZE, is-aligned(m0, EB_PAGE_SIZE), is-aligned(m1, EB_PAGE_SIZE), vols = vols0, apebs = apebs0, q = q0 ⊦ ⟪ubi_write_multiple#(v, m, m0, m2, m1, buf, bflipset, vtblpnum; vols, wlar, q, sqnum, apebs; err)⟫ ( ubi-cons(apebs, vols, wlar, q, bflipset, vtblpnum, sqnum) ∧ ubi-io-inv(apebs) ∧ id(apebs, apebs0, mapped-pebs(vols0)) ∧ q.lebrefs ⊆ q0.lebrefs ++ (v × m) ∧ (m1 = 0 → q.lebrefs ⊆ q0.lebrefs) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err ≠ ESUCCESS → vols = vols0) ∧ ( err = ESUCCESS → (∃ n. vols = vols0[v, vols0[v][m, ⌜n⌝ ]] ∧ (m1 ≠ 0 → apebs[n].fill = m0 + m1) ∧ (m1 = 0 → apebs[n].fill = 0) ∧ apebs[n].data = mkempbuf(m0) + subarray(buf, m2, m1) + mkempbuf(LEB_SIZE - m1 - m0))))

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