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Proof step 1 from proof inv-write-data (conclusion)

ubi-io-inv(apebs), ubi-io-write-data-pre(n, n0, n1, n2, buf, apebs) ⊦ ⟪aubi_io_write_data#(n, n0, n1, n2, buf; apebs; err)⟫ ubi-io-inv(apebs)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
apebs[n].vidhdr.valid?, apebs[n].echdr.valid?, n < # apebs, is-aligned(n2, EB_PAGE_SIZE), is-aligned(n0, EB_PAGE_SIZE), ubi-io-inv(apebs), n1 + n2 ≤ # buf, n0 + n2 ≤ LEB_SIZE, apebs[n].fill ≤ n0, ¬ apebs[n].bad ⊦ ⟪aubi_io_write_data#(n, n0, n1, n2, buf; apebs; err)⟫ ubi-io-inv(apebs)

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)