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

m0 = EB_PAGE_SIZE, abs(pebs, apebs), mtd-cons(pebs), ubi-io-inv(apebs), ubi-io-write-echdr-pre(m, aehdr, apebs) ⊦ ⟪ubi_io_write_echdr#(m, aehdr, m0; pebs; err)⟫ ⟨aubi_io_write_echdr#(m, aehdr; apebs; err0)⟩ (abs(pebs, apebs) ∧ err = err0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
apebs[m].echdr = empty, aehdr.valid?, m < # apebs, abs(pebs, apebs), mtd-cons(pebs), ubi-io-inv(apebs), ¬ apebs[m].bad ⊦ ⟪ubi_io_write_echdr#(m, aehdr, EB_PAGE_SIZE; pebs; err)⟫ ⟨aubi_io_write_echdr#(m, aehdr; 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-echdr-pre(n, aehdr, apebs) ↔ n < # apebs ∧ ¬ apebs[n].bad ∧ aehdr.valid? ∧ apebs[n].echdr = empty; (s)