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Proof step 17 from proof mapped-pebs-remap (previous step)

wlar[n0].status = used, apebs[n0].vidhdr = avidhdr(v0, m1, m2, m3, m4), vols[v0][m1] = ⌜n0⌝ , vols[v0][m] = ⌜n0⌝ , apebs[n0].vidhdr.valid?, m1 < # vols[v0], n0 < # wlar, n0 < # apebs, m < # vols[v0], v0 ∈ vols, ∀ v, m, n1. vols[v][m] = ⌜n1⌝ ∧ v ∈ vols ∧ m < # vols[v] ↔ wlar[n1].status = used ∧ n1 < # apebs ∧ n1 < # wlar ∧ apebs[n1].vidhdr.valid? ∧ apebs[n1].vidhdr.vol = v ∧ apebs[n1].vidhdr.leb = m ∧ n1 ≠ m0 ⊦ m1 = m, n0 = m0, n0 = n1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
wlar[n0].status = used, apebs[n0].vidhdr = avidhdr(v0, m1, m2, m3, m4), vols[v0][m1] = ⌜n0⌝ , vols[v0][m] = ⌜n0⌝ , m1 < # vols[v0], n0 < # wlar, n0 < # apebs, m < # vols[v0], v0 ∈ vols, ∀ v, m, n1. vols[v][m] = ⌜n1⌝ ∧ v ∈ vols ∧ m < # vols[v] ↔ wlar[n1].status = used ∧ n1 < # apebs ∧ n1 < # wlar ∧ apebs[n1].vidhdr.valid? ∧ apebs[n1].vidhdr.vol = v ∧ apebs[n1].vidhdr.leb = m ∧ n1 ≠ m0 ⊦ m1 = m, n0 = m0, n0 = n1

Rule argument

Additional information

Used simplifier rules: ⊦ avidhdr(v, m, m0, m1, m2).valid?; (s)% ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic