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Proof step 26 from proof inv-write-data-wl (previous step)

n0 + # buf1 = align↑(datasize(buf, n0 + # buf1), EB_PAGE_SIZE), 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, ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf1 + mkempbuf(LEB_SIZE - # buf1), # buf1, false))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 27:
n0 + # buf1 = align↑(datasize(buf, n0 + # buf1), EB_PAGE_SIZE), LEB_SIZE = n1 + # buf1, apebs[n2] = mkpeb(aehdr, avhdr, buf0, 0, false), aehdr.valid?, avhdr.valid?, n2 < # apebs, is-aligned(# buf1, EB_PAGE_SIZE), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf0, 0, false)), n0 + # buf1 ≤ LEB_SIZE, n0 + # buf1 ≤ # buf, # buf1 ≤ LEB_SIZE, # buf1 ≤ # buf, ⌊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, ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf1 + mkempbuf(n1), # buf1, false))

Rule argument

spec: nat name: elim-sub seq: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n subst: [m, n, n0] → [LEB_SIZE, # buf1, n]

Additional information

Used simplifier rules: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n; (elim) Used terms: LEB_SIZE, # buf1, n