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Proof step 7 from proof idset-mapped-pebs-write-unused (previous step)

# apebs = # apebs0, wlar[n] = wl-entry(m, stat), vols[v][m0] = ⌜n1⌝ , n < # wlar, m0 < # vols[v], n1 < # apebs0, v ∈ vols, n1 < # apebs0 ∧ n1 ≠ n → apebs[n1] = apebs0[n1], ∀ v, m, n1. vols[v][m] = ⌜n1⌝ ∧ v ∈ vols ∧ m < # vols[v] ↔ wlar[n1].status = used ∧ n1 < # apebs0 ∧ n1 < # wlar ∧ apebs[n1].vidhdr.valid? ∧ apebs[n1].vidhdr.vol = v ∧ apebs[n1].vidhdr.leb = m ∧ n1 ≠ n0 ⊦ apebs[n1] = apebs0[n1], stat = used

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
# apebs = # apebs0, vols[v][m0] = ⌜n⌝ , wlar[n] = wl-entry(m, stat), m0 < # vols[v], n < # apebs0, n < # wlar, v ∈ vols, ∀ v, m, n1. vols[v][m] = ⌜n1⌝ ∧ v ∈ vols ∧ m < # vols[v] ↔ wlar[n1].status = used ∧ n1 < # apebs0 ∧ n1 < # wlar ∧ apebs[n1].vidhdr.valid? ∧ apebs[n1].vidhdr.vol = v ∧ apebs[n1].vidhdr.leb = m ∧ n1 ≠ n0 ⊦ apebs[n] = apebs0[n], stat = used

Rule argument

Additional information

Used simplifier rules: lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%lf-02: ⊦ m < n ∧ m = n0 → n0 < n; (forward) from specification nat-basic