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Proof step 41 from proof mapped-pebs-unmap (previous step)

vols[v0][m1] = ⌜n⌝ , vols[v][m] = ⌜n0⌝ , m1 < # vols[v0], m < # vols[v], v0 ∈ vols, v ∈ 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 ⊦ n = n0, v0 ∈ vols[v, vols[v][m, unmapped]] ∧ m1 < # vols[v, vols[v][m, unmapped]][v0] ∧ vols[v, vols[v][m, unmapped]][v0][m1] = ⌜n⌝

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 42:
vols[v0][m1] = ⌜n⌝ , vols[v][m] = ⌜n0⌝ , m1 < # vols[v0], m < # vols[v], v0 ∈ vols, v ∈ vols, v0 ∈ vols[v, vols[v][m, unmapped]], ∀ 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 ⊦ n = n0, vols[v, vols[v][m, unmapped]][v0][m1] = ⌜n⌝ ∧ m1 < # vols[v, vols[v][m, unmapped]][v0]

Rule argument

Additional information

Used simplifier rules: ⊦ v ∈ vols[v0, ebatbl] ↔ v = v0 ∨ v ∈ vols; (ws)