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Proof step 18 from proof crash-neutral-write-data (previous step)

apebs[n] = mkpeb(aehdr, avhdr, buf0, m, false), apebs0 = apebs, avhdr.valid?, aehdr.valid?, n < # apebs, is-aligned(n4, EB_PAGE_SIZE), is-aligned(n5, EB_PAGE_SIZE), ubi-io-inv(apebs), n1 + n4 ≤ # buf, n5 + n4 ≤ LEB_SIZE, m ≤ n5 ⊦ (0 < n4 ∨ 0 = 0 ∧ n4 = 0) ∧ is-aligned(0, EB_PAGE_SIZE) ∧ ⟨if 0 ≠ 0 then apebs[n] := mkpeb (apebs[n].echdr, apebs[n].vidhdr, subarray(apebs[n].data, 0, n5) + subarray(buf, n1, 0) + mkempbuf(LEB_SIZE - n5 - 0), n5 + 0, apebs[n].bad)⟩ (apebs0 = apebs)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
apebs[n] = mkpeb(aehdr, avhdr, buf0, m, false), avhdr.valid?, aehdr.valid?, n < # apebs, is-aligned(n4, EB_PAGE_SIZE), is-aligned(n5, EB_PAGE_SIZE), ubi-io-inv(apebs), n1 + n4 ≤ # buf, n5 + n4 ≤ LEB_SIZE, m ≤ n5 ⊦ ⟨skip⟩ true

Rule argument

Additional information

Used simplifier rules: c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ n + 0 = n; (s)%n ≠ 0 ⊦ is-aligned(0, n); (s)% ⊦ EB_PAGE_SIZE ≠ 0; (s)% ⊦ 0 < m ↔ m ≠ 0; (s)