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Proof step 11 from proof valid-ebatbl-unmap (previous step)

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

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 12:
vols[v][m, unmapped][m1] = ⌜n⌝ , apebs[n] = mkpeb(aehdr, avhdr, buf, m3, boolvar), vols[v][m] = ⌜n⌝ , m1 < # vols[v], m < # vols[v], n < # wlar, 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 ⊦ m1 = m

Rule argument

fma: m1 = m

Additional information

Used simplifier rules: ⊦ m < # ebatbl → ebatbl[m, ebae][m] = ebae; (s)% ⊦ unmapped ≠ ⌜m⌝ ; (s) Used formulas: m1 = m