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Proof step 51 from proof refine-write-vidhdr (previous step)

# buf2 = EB_PAGE_SIZE, pebs[m2] = mkpeb(buf1, EB_PAGE_SIZE, false), apebs[m2] = mkpeb(aehdr, empty, subarray(buf1, 2 * EB_PAGE_SIZE, LEB_SIZE), m1, false), aehdr.valid?, m2 < # apebs, m2 < # pebs, abs(pebs, apebs), abs-echdr(subarray(buf1, 0, EB_PAGE_SIZE), aehdr), abs-vidhdr(subarray(buf1, EB_PAGE_SIZE, EB_PAGE_SIZE), empty), is-encoded(vidhdr(v, m6, m5, m3, m4), buf2), mtd-cons(pebs), ubi-io-inv(apebs), 2 * EB_PAGE_SIZE ≤ PEB_SIZE ⊦ aehdr = empty, m1 = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: ubi-io-inv name: ubi-io-inv-extract seq: ⊦ n < # apebs → ( ubi-io-inv(apebs) ↔ ubi-io-peb-inv(apebs[n]) ∧ ubi-io-inv(apebs)) subst: [n, apebs] → [m2, apebs] flags: <all paths>

Additional information

Used simplifier rules: ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ m < n → (n ≤ m ↔ false); (s)%n < # pebs ⊦ pebs[n] = mkpeb(buf, m, boolvar) ∧ mtd-cons(pebs) → # buf = PEB_SIZE; (s)%⊦ aehdr.valid? → ( ubi-io-peb-inv(mkpeb(aehdr, empty, buf, n, false)) ↔ buf = mkempbuf(LEB_SIZE) ∧ n = 0); (s)%# buf = n ⊦ subarray(buf, 0, n) = buf; (s) Used terms: m2, apebs