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Proof step 22 from proof mapped-pebs-unmap (previous step)

vols[v0][m2] = ⌜n0⌝ , vols[v0][m1] = ⌜n⌝ , apebs[n0] = mkpeb(aehdr, avidhdr(v0, m2, m3, m4, m5), buf, m6, boolvar), wlar[n0] = wl-entry(m7, used), m1 < # vols[v0], n0 < # apebs, n0 < # wlar, m2 < # 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 = m2, n0 = m0, n ≠ n0 ∧ (∃ v, m. v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] = ⌜n⌝ )

Heuristic quantifier applied rule all left

And obtained the following new goals

Proof step 23:
vols[v0][m1] = ⌜n0⌝ ∧ v0 ∈ vols ∧ m1 < # vols[v0] ↔ wlar[n0].status = used ∧ n0 < # apebs ∧ n0 < # wlar ∧ apebs[n0].vidhdr.valid? ∧ apebs[n0].vidhdr.vol = v0 ∧ apebs[n0].vidhdr.leb = m1 ∧ n0 ≠ m0, wlar[n0] = wl-entry(m7, used), apebs[n0] = mkpeb(aehdr, avidhdr(v0, m2, m3, m4, m5), buf, m6, boolvar), vols[v0][m1] = ⌜n⌝ , vols[v0][m2] = ⌜n0⌝ , m2 < # vols[v0], n0 < # wlar, n0 < # apebs, m1 < # 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 = m2, n0 = m0, n ≠ n0 ∧ (∃ v, m. v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] = ⌜n⌝ )

Rule argument

pos: left 10 terms: v0, m1, n0

Additional information

Used terms: v0, m1, n0