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Proof step 38 from proof mapped-pebs-remap (previous step)

vols[v][m] = ⌜n0⌝ , vols[v, vols[v][m, ⌜n1⌝ ]][v0][m1] = ⌜n⌝ , v0 = v, m < # vols[v], m1 < # vols[v, vols[v][m, ⌜n1⌝ ]][v0], v ∈ vols, v0 ∈ vols[v, vols[v][m, ⌜n1⌝ ]], ∀ 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 = n1, ∃ v, m. v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] = ⌜n⌝

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 39:
vols[v][m] = ⌜n0⌝ , vols[v][m, ⌜n1⌝ ][m1] = ⌜n⌝ , m < # vols[v], m1 < # vols[v], 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 = n1, ∃ v, m. v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] = ⌜n⌝

Rule argument

Additional information

Used simplifier rules: ⊦ # ebatbl[n, ebae] = # ebatbl; (s)% ⊦ v ∈ vols[v, ebatbl]; (s)% ⊦ vols[v, ebatbl][v] = ebatbl; (s)