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Proof step 26 from proof inv-write-data (previous step)

apebs[n] = mkpeb(aehdr, avhdr, buf0, m, false), n2 ≠ 0, avhdr.valid?, aehdr.valid?, n2 < n4, n < # apebs, is-aligned(n4, EB_PAGE_SIZE), is-aligned(n5, EB_PAGE_SIZE), is-aligned(n2, EB_PAGE_SIZE), ubi-io-inv(apebs), n1 + n4 ≤ # buf, n5 + n4 ≤ LEB_SIZE, m ≤ n5, ⌊err0⌋ ⊦ ⟪apebs[n] := mkpeb (apebs[n].echdr, apebs[n].vidhdr, subarray(apebs[n].data, 0, n5) + subarray(buf, n1, n2) + mkempbuf(LEB_SIZE - n5 - n2), n5 + n2, apebs[n].bad)⟫ ubi-io-inv(apebs)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 27:
apebs[n] = mkpeb(aehdr, avhdr, buf0, m, false), aehdr.valid?, avhdr.valid?, n < # apebs, n2 < n4, is-aligned(n2, EB_PAGE_SIZE), is-aligned(n5, EB_PAGE_SIZE), is-aligned(n4, EB_PAGE_SIZE), ubi-io-inv(apebs), 0 + n5 ≤ # apebs[n].data, n1 + n2 ≤ # buf, m ≤ n5, n5 + n4 ≤ LEB_SIZE, n1 + n4 ≤ # buf, LEB_SIZE - n5 ≥ n2, LEB_SIZE ≥ n5, ⌊err0⌋ ⊦ n2 = 0, ubi-io-inv (apebs [n, mkpeb (apebs[n].echdr, apebs[n].vidhdr, subarray(apebs[n].data, 0, n5) + subarray(buf, n1, n2) + mkempbuf(LEB_SIZE - n5 - n2), n5 + n2, apebs[n].bad) ])

Rule argument

Additional information

Used simplifier rules: ⊦ n + 0 = n; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ n ≥ m ↔ m ≤ n; (s)% ⊦ m ≤ n ↔ ¬ n < m; (ss)% ⊦ m < n → (n ≤ m ↔ false); (s)%n0 ≤ n ⊦ m ≤ n - n0 ↔ m + n0 ≤ n; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).data = buf; (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)%n < # apebs ⊦ apebs[n] = mkpeb(aehdr, avhdr, buf, m, boolvar) ∧ ubi-io-inv(apebs) → # buf = LEB_SIZE; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat% ⊦ m < n → n ≠ 0; (s)% ⊦ m + n < m + n0 ↔ n < n0; (s)% ⊦ m < n → ¬ n < m; (s)% ⊦ ¬ m + n < m; (s)