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Proof step 153 from proof refine-write-data-wl (previous step)

apebs[m1] = mkpeb(aehdr, avhdr, buf2, 0, false), pebs[m1] = mkpeb(buf0, 2 * EB_PAGE_SIZE, false), n = align↑(datasize(buf, n), EB_PAGE_SIZE), aehdr.valid?, avhdr.valid?, m1 < # apebs, m1 < # pebs, abs(pebs, apebs), abs-peb(mkpeb(buf0, 2 * EB_PAGE_SIZE, false), mkpeb(aehdr, avhdr, buf2, 0, false)), is-aligned(n, EB_PAGE_SIZE), mtd-cons(pebs), ubi-io-inv(apebs), n ≤ LEB_SIZE, n ≤ # buf, ⌊err1⌋ ⊦ datasize(buf, n) = 0, abs(pebs, apebs[m1, mkpeb(aehdr, avhdr, mkempbuf(LEB_SIZE), 0, false)])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 154:
⊦ abs(pebs, apebs) ↔ # pebs = # apebs ∧ (∀ n. n < # pebs → abs-peb(pebs[n], apebs[n]))
Proof step 155:
pebs[m1] = mkpeb(buf0, 2 * EB_PAGE_SIZE, false), apebs[m1] = mkpeb(aehdr, avhdr, buf2, 0, false), n = align↑(datasize(buf, n), EB_PAGE_SIZE), avhdr.valid?, aehdr.valid?, m1 < # pebs, m1 < # apebs, abs(pebs, apebs), abs-peb(mkpeb(buf0, 2 * EB_PAGE_SIZE, false), mkpeb(aehdr, avhdr, buf2, 0, false)), is-aligned(n, EB_PAGE_SIZE), mtd-cons(pebs), ubi-io-inv(apebs), n ≤ # buf, n ≤ LEB_SIZE, ⌊err1⌋ ⊦ datasize(buf, n) = 0, # pebs = # apebs[m1, mkpeb(aehdr, avhdr, mkempbuf(LEB_SIZE), 0, false)] ∧ (∀ n. n < # pebs → abs-peb(pebs[n], apebs[m1, mkpeb(aehdr, avhdr, mkempbuf(LEB_SIZE), 0, false)][n]))

Rule argument

spec: ubi-io-abs name: abs seq: ⊦ abs(pebs, apebs) ↔ # pebs = # apebs ∧ (∀ n. n < # pebs → abs-peb(pebs[n], apebs[n])) subst: [apebs, pebs] → [apebs[m1, mkpeb(aehdr, avhdr, mkempbuf(LEB_SIZE), 0, false)], pebs] flags: <all paths>

Additional information

Used terms: apebs[m1, mkpeb(aehdr, avhdr, mkempbuf(LEB_SIZE), 0, false)], pebs