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Proof step 35 from proof inv-write-data-wl (previous step)

apebs[n2] = mkpeb(aehdr, avhdr, buf1, 0, false), n1 = align↑(datasize(buf, n1), EB_PAGE_SIZE), aehdr.valid?, avhdr.valid?, n2 < # apebs, ubi-io-inv(apebs), n1 ≤ LEB_SIZE, n1 ≤ # buf, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ datasize(buf, n1) = 0, err0 = ESUCCESS, ∀ buf1. # buf1 ≤ n1 → is-aligned(# buf1, EB_PAGE_SIZE) → ¬ datasize(buf1, # buf1) < datasize(buf, n1) → n1 ≥ # buf1

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: n ≠ 0, m % n = 0 ⊦ align↑(m, n) = m; (s)% ⊦ m ≤ n → (n < m ↔ false); (s)% ⊦ m ≤ n ↔ ¬ n < m; (ss)% ⊦ n ≥ m ↔ m ≤ n; (s)% ⊦ EB_PAGE_SIZE ≠ 0; (s)