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Proof step 9 from proof valid-ebatbl-unmap (previous step)

vols[v, vols[v][m, unmapped]][v0][m1] = ⌜n⌝ , vols[v][m] = ⌜n⌝ , apebs[n] = mkpeb(aehdr, avhdr, buf, m3, boolvar), m1 < # vols[v, vols[v][m, unmapped]][v0], n < # wlar, m < # vols[v], v0 ∈ vols[v, vols[v][m, unmapped]], 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 ⊦

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 10:
apebs[n] = mkpeb(aehdr, avhdr, buf, m3, boolvar), vols[v][m] = ⌜n⌝ , vols[v, vols[v][m, unmapped]][v0][m1] = ⌜n⌝ , v0 = v, m < # vols[v], n < # wlar, m1 < # vols[v, vols[v][m, unmapped]][v0], 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 ≠ n0 ⊦
Proof step 20:
apebs[n] = mkpeb(aehdr, avhdr, buf, m3, boolvar), vols[v][m] = ⌜n⌝ , vols[v, vols[v][m, unmapped]][v0][m1] = ⌜n⌝ , m < # vols[v], n < # wlar, m1 < # vols[v, vols[v][m, unmapped]][v0], 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 ≠ n0 ⊦ v0 = v

Rule argument

fma: v0 = v

Additional information

Used formulas: v0 = v