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Proof step 173 from proof refine-write-data (previous step)

apebs[m3] = mkpeb(aehdr, avhdr, buf0, m2, false), m = EB_PAGE_SIZE, m1 = m3, n = n1, n0 = n2, aehdr.valid?, avhdr.valid?, m3 < # apebs, abs(pebs, apebs), is-aligned(m0, EB_PAGE_SIZE), is-aligned(n1, EB_PAGE_SIZE), mtd-cons(pebs), ubi-io-inv(apebs), m2 ≤ m0, m0 + n1 ≤ LEB_SIZE, n2 + n1 ≤ # buf, m1 < # pebs → m1 < # pebs ∧ (¬ pebs[m1].bad → m1 < # pebs) ⊦ m1 < # pebs ∧ ¬ pebs[m1].bad ∧ pebs[m1].fill ≤ m0 + 2 * EB_PAGE_SIZE ∧ m0 + n ≤ LEB_SIZE ∧ n0 + n ≤ # buf ∧ is-aligned(m0, EB_PAGE_SIZE) ∧ is-aligned(n, EB_PAGE_SIZE)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 174:
apebs[m3] = mkpeb(aehdr, avhdr, buf0, m2, false), avhdr.valid?, aehdr.valid?, m3 < # pebs, m3 < # apebs, abs(pebs, apebs), is-aligned(n1, EB_PAGE_SIZE), is-aligned(m0, EB_PAGE_SIZE), mtd-cons(pebs), ubi-io-inv(apebs), n2 + n1 ≤ # buf, m0 + n1 ≤ LEB_SIZE, m2 ≤ m0 ⊦ pebs[m3].fill ≤ m0 + 2 * EB_PAGE_SIZE ∧ ¬ pebs[m3].bad

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ abs(pebs, apebs) → ¬ # pebs < # apebs; (s)%fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat% ⊦ m < n ↔ ¬ n ≤ m; (ss)