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Proof step 165 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), avhdr.valid?, aehdr.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), m1 + n ≤ LEB_SIZE, n2 + n ≤ # buf, m2 ≤ m1, ⌊err1⌋ ⊦ (0 < n ∨ 0 = 0 ∧ n = 0) ∧ is-aligned(0, EB_PAGE_SIZE) ∧ ⟨if 0 ≠ 0 then apebs[m3] := mkpeb (apebs[m3].echdr, apebs[m3].vidhdr, subarray(apebs[m3].data, 0, m1) + subarray(buf, n2, 0) + mkempbuf(LEB_SIZE - m1 - 0), m1 + 0, apebs[m3].bad)⟩ abs(pebs, apebs)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 166:
pebs[m3] = mkpeb(buf1, 2 * EB_PAGE_SIZE + m2, false), apebs[m3] = mkpeb(aehdr, avhdr, buf0, m2, false), aehdr.valid?, avhdr.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), m2 ≤ m1, n2 + n ≤ # buf, m1 + n ≤ LEB_SIZE, ⌊err1⌋ ⊦ ⟨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)