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Proof step 17 from proof refine-write-data (previous step)

apebs[m3] = mkpeb(aehdr, avhdr, buf0, m2, false), pebs[m3] = mkpeb(buf1, 2 * EB_PAGE_SIZE + m2, false), err = ESUCCESS, err = err0, aehdr.valid?, avhdr.valid?, m3 < # apebs, m3 < # pebs, abs(pebs, apebs), abs-peb(mkpeb(buf1, 2 * EB_PAGE_SIZE + m2, false), mkpeb(aehdr, avhdr, buf0, m2, false)), is-aligned(m1, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), mtd-cons(pebs), ubi-io-inv(apebs), m2 ≤ m1, m1 + n ≤ LEB_SIZE, n2 + n ≤ # buf, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪pebs[m3].data := copy(buf, n2, pebs[m3].data, m1 + 2 * EB_PAGE_SIZE, n); pebs[m3].fill := (m1 + 2 * EB_PAGE_SIZE) + n⟫ ⟨aubi_io_write_data#(m3, m1, n2, n, buf; apebs; err1)⟩ (abs(pebs, apebs) ∧ err = err1)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 18:
pebs[m3] = mkpeb(buf1, 2 * EB_PAGE_SIZE + m2, false), apebs[m3] = mkpeb(aehdr, avhdr, buf0, m2, false), err = err0, err = ESUCCESS, avhdr.valid?, aehdr.valid?, m3 < # pebs, m3 < # apebs, abs(pebs, apebs), abs-peb(mkpeb(buf1, 2 * EB_PAGE_SIZE + m2, false), mkpeb(aehdr, avhdr, buf0, m2, false)), is-aligned(n, EB_PAGE_SIZE), is-aligned(m1, EB_PAGE_SIZE), mtd-cons(pebs), ubi-io-inv(apebs), (m1 + 2 * EB_PAGE_SIZE) + n ≤ # pebs[m3].data, n2 + n ≤ # buf, m1 + n ≤ LEB_SIZE, m2 ≤ m1, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪pebs := pebs[m3, pebs[m3].data:= copy(buf, n2, pebs[m3].data, m1 + 2 * EB_PAGE_SIZE, n)] [m3, pebs[m3, pebs[m3].data:= copy(buf, n2, pebs[m3].data, m1 + 2 * EB_PAGE_SIZE, n)][m3].fill:= ((m1 + 2 * EB_PAGE_SIZE) + n) ]⟫ ⟨aubi_io_write_data#(m3, m1, n2, n, buf; apebs; err1)⟩ (abs(pebs, apebs) ∧ err = err1)

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ ⌊ESUCCESS⌋ ; (s)% ⊦ m ≤ n ↔ ¬ n < m; (ss)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m < n → n ≠ 0; (s)% ⊦ mkpeb(buf, m, boolvar).data = buf; (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ m < n → (n ≤ m ↔ false); (s)%n < # pebs ⊦ pebs[n] = mkpeb(buf, m, boolvar) ∧ mtd-cons(pebs) → # buf = PEB_SIZE; (s)% ⊦ m ≤ LEB_SIZE → ¬ PEB_SIZE < m + 2 * EB_PAGE_SIZE; (s)%mult-a: ⊦ m0 * m * n = (m0 * m) * n; from specification nat-mult%mult-c: ⊦ m * n = n * m; from specification nat-mult%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic