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Proof step 2 from proof refine-write-data (previous step)

m1 = EB_PAGE_SIZE, abs(pebs, apebs), mtd-cons(pebs), ubi-io-inv(apebs), ubi-io-write-data-pre(m, m0, n, n0, buf, apebs) ⊦ ⟪ubi_io_write_data#(m, m0, n, n0, buf, m1; pebs; err)⟫ ⟨aubi_io_write_data#(m, m0, n, n0, buf; apebs; err0)⟩ (abs(pebs, apebs) ∧ err = err0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
apebs[m].vidhdr.valid?, apebs[m].echdr.valid?, m < # apebs, abs(pebs, apebs), is-aligned(n0, EB_PAGE_SIZE), is-aligned(m0, EB_PAGE_SIZE), mtd-cons(pebs), ubi-io-inv(apebs), n + n0 ≤ # buf, m0 + n0 ≤ LEB_SIZE, apebs[m].fill ≤ m0, ¬ apebs[m].bad ⊦ ⟪ubi_io_write_data#(m, m0, n, n0, buf, EB_PAGE_SIZE; pebs; err)⟫ ⟨aubi_io_write_data#(m, m0, n, n0, buf; apebs; err0)⟩ (abs(pebs, apebs) ∧ err = err0)

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%⊦ 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)