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Proof step 5 from proof prepost-io-write-data (previous step)

# apebs = # wlar, apebs[n] = mkpeb(aehdr, avhdr, buf0, m, boolvar), wlar[n] = wl-entry(m3, stat), stat = used, n < # wlar, bflipset-cons(bflipset, wlar), is-aligned(m2, EB_PAGE_SIZE), is-aligned(m0, EB_PAGE_SIZE), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, n0), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs, n1), valid-vtbl(apebs, vols, wlar, n0), valid-wl(apebs, wlar), m1 + m2 ≤ # buf, m0 + m2 ≤ LEB_SIZE, m ≤ m0 ⊦ ⟪aubi_io_write_data#(n, m0, m1, m2, buf; apebs; err)⟫ ( # 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, VTBL_VOLID ∈ vols, n0 ∈ q

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
# apebs = # wlar, apebs[n] = mkpeb(aehdr, avhdr, buf0, m, false), wlar[n] = wl-entry(m3, used), n0 ≠ n, n < # wlar, bflipset-cons(bflipset, wlar), is-aligned(m2, EB_PAGE_SIZE), is-aligned(m0, 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(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs, n1), valid-peb(mkpeb(aehdr, avhdr, buf0, m, false)), valid-vtbl(apebs, vols, wlar, n0), valid-wl(apebs, wlar), m1 + m2 ≤ # buf, m0 + m2 ≤ LEB_SIZE, m ≤ m0, ¬ n ∈ q, ¬ VTBL_VOLID ∈ vols, ¬ n0 ∈ q ⊦ ⟪aubi_io_write_data#(n, m0, m1, m2, buf; apebs; err)⟫ ( # 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))

Rule argument

Additional information

Used simplifier rules: lf-valid-wl-not-erroneous: n < # wlar, stat ≠ erroneous ⊦ apebs[n] = mkpeb(aehdr, avhdr, buf, m, boolvar) ∧ wlar[n] = wl-entry(m0, stat) ∧ valid-wl(apebs, wlar) → ¬ boolvar;%ubi-io-inv-fwd: n < # apebs ⊦ apebs[n] = apeb ∧ ubi-io-inv(apebs) → ubi-io-peb-inv(apeb);%lf-used-valid-peb: ⊦ n < # wlar ∧ wlar[n] = wl-entry(m, used) ∧ apebs[n] = apeb ∧ valid-wl(apebs, wlar) → valid-peb(apeb);%lf-used-info: ⊦ n < # wlar ∧ wlar[n] = wl-entry(m, used) ∧ valid-eraseq(wlar, q) → ¬ n ∈ q;% ⊦ m < n → (n ≤ m ↔ false); (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ used ≠ erroneous; (s)