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Proof step 8 from proof prepost-io-write-data (previous step)

# apebs = # wlar, wlar[n] = wl-entry(m3, used), apebs[n] = mkpeb(aehdr, avhdr, buf0, m, false), buf1 = buf, n3 = n, n4 = m0, n5 = m1, n6 = m2, n < # wlar, bflipset-cons(bflipset, wlar), is-aligned(m0, EB_PAGE_SIZE), is-aligned(m2, EB_PAGE_SIZE), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf0, m, false)), ubi-io-write-data-pre(n, m0, m1, m2, buf, apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, n0), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs, n1), valid-peb(mkpeb(aehdr, avhdr, buf0, m, false)), valid-vtbl(apebs, vols, wlar, n0), valid-wl(apebs, wlar), m ≤ m0, m0 + m2 ≤ LEB_SIZE, m1 + m2 ≤ # buf ⊦ [aubi_io_write_data#(n, m0, m1, m2, buf; apebs; err)] ( ubi-io-inv(apebs) → # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, n1) ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(apebs, q) ∧ valid-ebatbl(apebs, wlar, vols, n0) ∧ valid-vtbl(apebs, vols, wlar, n0) ∧ ubi-io-inv(apebs)), n0 = n, n ∈ q, VTBL_VOLID ∈ vols, n0 ∈ q

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
# apebs = # wlar, wlar[n] = wl-entry(m3, used), apebs[n] = mkpeb(aehdr, avhdr, buf0, m, false), n0 ≠ n, avhdr.valid?, aehdr.valid?, n < # wlar, bflipset-cons(bflipset, wlar), is-aligned(m0, EB_PAGE_SIZE), is-aligned(m2, EB_PAGE_SIZE), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf0, m, false)), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, n0), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs, n1), valid-peb(mkpeb(aehdr, avhdr, buf0, m, false)), valid-vtbl(apebs, vols, wlar, n0), valid-wl(apebs, wlar), m0 + m2 ≤ LEB_SIZE, m1 + m2 ≤ # buf, m ≤ m0, ¬ n ∈ q, ¬ VTBL_VOLID ∈ vols, ¬ n0 ∈ q ⊦ [aubi_io_write_data#(n, m0, m1, m2, buf; apebs; err)] ( ubi-io-inv(apebs) → # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, n1) ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(apebs, q) ∧ valid-ebatbl(apebs, wlar, vols, n0) ∧ valid-vtbl(apebs, vols, wlar, n0))

Rule argument

Additional information

Used simplifier rules: ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).bad ↔ boolvar; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).echdr = aehdr; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).vidhdr = avhdr; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).fill = m; (s)%⊦ ubi-io-write-data-pre(n, n0, n1, n2, buf, apebs) ↔ n < # apebs ∧ ¬ apebs[n].bad ∧ apebs[n].echdr.valid? ∧ apebs[n].vidhdr.valid? ∧ is-aligned(n0, EB_PAGE_SIZE) ∧ is-aligned(n2, EB_PAGE_SIZE) ∧ apebs[n].fill ≤ n0 ∧ n0 + n2 ≤ LEB_SIZE ∧ n1 + n2 ≤ # buf; (s)