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Proof step 24 from proof crash-neutral-write-data-wl (previous step)

apebs[n2] = mkpeb(aehdr, avhdr, buf0, 0, false), n1 = align↑(datasize(buf, n1), EB_PAGE_SIZE), avhdr.valid?, aehdr.valid?, n2 < # apebs, m < # apebs, ubi-io-inv(apebs), n1 ≤ # buf, n1 ≤ LEB_SIZE ⊦ apebs[m] = (n2 = m ⊃ mkpeb(aehdr, avhdr, mkempbuf(LEB_SIZE), 0, false);apebs[m]), datasize(buf, n1) = 0

User applied rule case distinction

And obtained the following new goals

Proof step 25:
apebs[n2] = mkpeb(aehdr, avhdr, buf0, 0, false), n1 = align↑(datasize(buf, n1), EB_PAGE_SIZE), n2 = m, aehdr.valid?, avhdr.valid?, m < # apebs, n2 < # apebs, ubi-io-inv(apebs), n1 ≤ LEB_SIZE, n1 ≤ # buf ⊦ apebs[m] = mkpeb(aehdr, avhdr, mkempbuf(LEB_SIZE), 0, false), datasize(buf, n1) = 0

Rule argument

pos: right 1

Proof step 24 from proof crash-neutral-write-data-wl (previous step)

User applied rule case distinction

And obtained the following new goals

Rule argument

Additional information