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Proof step 132 from proof refine-write-data-wl (previous step)

2 * EB_PAGE_SIZE = (avhdr = empty ⊃ EB_PAGE_SIZE;2 * EB_PAGE_SIZE), LEB_SIZE = n1 + n2, apebs[m1] = mkpeb(aehdr, avhdr, subarray(buf0, 2 * EB_PAGE_SIZE, LEB_SIZE), 0, false), pebs[m1] = mkpeb(buf0, 2 * EB_PAGE_SIZE, false), n = align↑(datasize(buf, n), EB_PAGE_SIZE), aehdr.valid?, avhdr.valid?, m1 < # pebs, n0 < n1, n2 < datasize(buf, n), n2 < # buf, n2 < LEB_SIZE, n2 < n, m1 < # apebs, abs(pebs, apebs), abs-echdr(subarray(buf0, 0, EB_PAGE_SIZE), aehdr), abs-vidhdr(subarray(buf0, EB_PAGE_SIZE, EB_PAGE_SIZE), avhdr), is-aligned(n, EB_PAGE_SIZE), is-aligned(n2, EB_PAGE_SIZE), mtd-cons(pebs), ubi-io-inv(apebs), 2 * EB_PAGE_SIZE ≤ PEB_SIZE, n ≤ # buf, n ≤ LEB_SIZE, 2 * EB_PAGE_SIZE + n2 ≤ PEB_SIZE, ⌊err1⌋ , ∀ n3. n3 < LEB_SIZE → buf0[2 * EB_PAGE_SIZE + n3] = empty ⊦ buf0[(2 * EB_PAGE_SIZE + n2) + n0] = empty, aehdr = empty, n2 = 0

User applied rule all left

And closed the goal!

Rule argument

pos: left 27 terms: n0 + n2 abort: F discard: T computed: T

Additional information

Used simplifier rules: a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ m = m0 + n0 ∧ n < n0 → m0 + n < m; (s) Used terms: n0 + n2