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Proof step 52 from proof valid-ebatbl-unmap (previous step)

wlar[n1] = wl-entry(m2, stat), apebs[n1] = mkpeb(aehdr, avhdr, buf, m3, boolvar), vols[v][m] = ⌜n⌝ , m < # 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 ≠ n0 ⊦ vols[v, vols[v][m, unmapped]][v0][m1] = ⌜n1⌝ ∧ v0 ∈ vols[v, vols[v][m, unmapped]] ∧ m1 < # vols[v, vols[v][m, unmapped]][v0] ↔ stat = used ∧ n1 < # apebs ∧ n1 < # wlar ∧ avhdr.valid? ∧ avhdr.vol = v0 ∧ avhdr.leb = m1 ∧ n1 ≠ n0, n1 = n, v0 = v

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 53:
vols[v][m] = ⌜n⌝ , apebs[n1] = mkpeb(aehdr, avhdr, buf, m3, boolvar), wlar[n1] = wl-entry(m2, stat), m < # 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 ≠ n0 ⊦ vols[v0][m1] = ⌜n1⌝ ∧ v0 ∈ vols ∧ m1 < # vols[v0] ↔ stat = used ∧ n1 < # apebs ∧ n1 < # wlar ∧ avhdr.valid? ∧ avhdr.vol = v0 ∧ avhdr.leb = m1 ∧ n1 ≠ n0, n1 = n, v0 = v

Rule argument

Additional information

Used simplifier rules: ⊦ v ≠ v0 → (v ∈ vols[v0, ebatbl] ↔ v ∈ vols); (s)% ⊦ v ≠ v0 → vols[v0, ebatbl][v] = vols[v]; (s)