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Proof step 48 from proof refine-write-echdr (previous step)

# buf2 = EB_PAGE_SIZE, pebs[m2] = mkpeb(buf1, 0, false), apebs[m2] = mkpeb(empty, avhdr, subarray(buf1, 2 * EB_PAGE_SIZE, LEB_SIZE), m1, false), m2 < # apebs, m2 < # pebs, abs(pebs, apebs), abs-echdr(subarray(buf1, 0, EB_PAGE_SIZE), empty), abs-vidhdr(subarray(buf1, EB_PAGE_SIZE, EB_PAGE_SIZE), avhdr), is-encoded(echdr(m3), buf2), mtd-cons(pebs), ubi-io-inv(apebs), EB_PAGE_SIZE ≤ PEB_SIZE ⊦ avhdr = empty ∧ abs-echdr(buf2, aechdr(m3))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 49:
⊦ n < # pebs → (mtd-cons(pebs) ↔ mtd-valid-peb(pebs[n]) ∧ mtd-cons(pebs))
Proof step 50:
# buf2 = EB_PAGE_SIZE, apebs[m2] = mkpeb(empty, avhdr, subarray(buf1, 2 * EB_PAGE_SIZE, LEB_SIZE), m1, false), pebs[m2] = mkpeb(buf1, 0, false), m2 < # apebs, m2 < # pebs, abs(pebs, apebs), abs-echdr(subarray(buf1, 0, EB_PAGE_SIZE), empty), abs-vidhdr(subarray(buf1, EB_PAGE_SIZE, EB_PAGE_SIZE), avhdr), is-encoded(echdr(m3), buf2), mtd-cons(pebs), mtd-valid-peb(pebs[m2]), ubi-io-inv(apebs), EB_PAGE_SIZE ≤ PEB_SIZE ⊦ avhdr = empty ∧ abs-echdr(buf2, aechdr(m3))

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] → [m2, pebs] flags: <all paths>

Additional information

Used terms: m2, pebs