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Proof step 32 from proof inv-write-data-wl (previous step)

n0 + # buf1 = align↑(datasize(buf, n0 + # buf1), EB_PAGE_SIZE), LEB_SIZE = n3 + # buf1, apebs[n2] = mkpeb(aehdr, avhdr, buf0, 0, false), avhdr.valid?, aehdr.valid?, n2 < # apebs, is-aligned(# buf1, EB_PAGE_SIZE), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf0, 0, false)), # buf1 ≤ # buf, # buf1 ≤ LEB_SIZE, n0 + # buf1 ≤ # buf, n0 + # buf1 ≤ LEB_SIZE, ⌊err0⌋ , datasize(buf1, # buf1) < datasize(buf, n0 + # buf1) ∨ checksum(buf1 + mkempbuf(n0), datasize(buf, n0 + # buf1)) ≠ checksum(buf, datasize(buf, n0 + # buf1)) ⊦ datasize(buf, n0 + # buf1) = 0, (aehdr = empty → avhdr = empty) ∧ (aehdr ≠ garbage ∧ avhdr = empty → # buf1 = 0)

User applied rule case distinction

And closed the goal!

Rule argument

pos: right 2

Additional information

Used simplifier rules: ⊦ EB_PAGE_SIZE ≠ 0; (s)%⊦ aehdr.valid? → ( ubi-io-peb-inv(mkpeb(aehdr, empty, buf, n, false)) ↔ buf = mkempbuf(LEB_SIZE) ∧ n = 0); (s)% ⊦ ¬ empty.valid?; (s)%n ≠ 0, m % n = 0 ⊦ align↑(m, n) = m; (s)%⊦ ubi-io-peb-inv(mkpeb(empty, avhdr, buf, n, false)) ↔ avhdr = empty ∧ buf = mkempbuf(LEB_SIZE) ∧ n = 0; (s)