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

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
apebs[n].fill = 0, n0 = align↑(datasize(buf, n0), EB_PAGE_SIZE), datasize(buf, n0) ≠ 0, apebs[n].vidhdr.valid?, apebs[n].echdr.valid?, n < # apebs, ubi-io-inv(apebs), n0 ≤ # buf, n0 ≤ LEB_SIZE, ¬ apebs[n].bad ⊦ ⟪aubi_io_write_data_wl#(n, n0, 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-wl-pre(n, n1, buf, apebs) ↔ n < # apebs ∧ ¬ apebs[n].bad ∧ apebs[n].echdr.valid? ∧ apebs[n].vidhdr.valid? ∧ n1 = align↑(datasize(buf, n1), EB_PAGE_SIZE) ∧ apebs[n].fill = 0 ∧ n1 ≤ LEB_SIZE ∧ n1 ≤ # buf ∧ datasize(buf, n1) ≠ 0; (s)