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Proof step 33 from proof refine-write-data-wl (previous step)

LEB_SIZE = n0 + n, apebs[m1] = mkpeb(aehdr, avhdr, buf2, 0, false), pebs[m1] = mkpeb(buf1, 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(buf1, 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, 2 * EB_PAGE_SIZE + n ≤ PEB_SIZE, n ≤ # buf ⊦ datasize(buf, n) = 0, abs-peb (mkpeb(copy(buf, 0, buf1, 2 * EB_PAGE_SIZE, n), 2 * EB_PAGE_SIZE + n, false), mkpeb(aehdr, avhdr, subarray(buf, 0, n) + mkempbuf(n0), n, false))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 34:
⊦ n < # pebs → (mtd-cons(pebs) ↔ mtd-valid-peb(pebs[n]) ∧ mtd-cons(pebs))
Proof step 35:
LEB_SIZE = n0 + n, pebs[m1] = mkpeb(buf1, 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 < # apebs, m1 < # pebs, abs(pebs, apebs), abs-peb(mkpeb(buf1, 2 * EB_PAGE_SIZE, false), mkpeb(aehdr, avhdr, buf2, 0, false)), is-aligned(n, EB_PAGE_SIZE), mtd-cons(pebs), mtd-valid-peb(pebs[m1]), ubi-io-inv(apebs), n ≤ # buf, 2 * EB_PAGE_SIZE + n ≤ PEB_SIZE, n ≤ LEB_SIZE ⊦ datasize(buf, n) = 0, abs-peb (mkpeb(copy(buf, 0, buf1, 2 * EB_PAGE_SIZE, n), 2 * EB_PAGE_SIZE + n, false), mkpeb(aehdr, avhdr, subarray(buf, 0, n) + mkempbuf(n0), n, false))

Rule argument

spec: mtd-base name: mtd-cons-extract seq: ⊦ n < # pebs → (mtd-cons(pebs) ↔ mtd-valid-peb(pebs[n]) ∧ mtd-cons(pebs)) subst: [n, pebs] → [m1, pebs] flags: <all paths>

Additional information

Used terms: m1, pebs