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Proof step 39 from proof mapped-pebs-remap (previous step)

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⌝

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 40:
vols[v][m, ⌜n1⌝ ][m1] = ⌜n⌝ , vols[v][m] = ⌜n0⌝ , m1 < # vols[v], 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 ≠ m0 ⊦ m1 = m, n = n1, ∃ v, m. v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] = ⌜n⌝

Rule argument

fma: m1 = m

Additional information

Used simplifier rules: ⊦ m < # ebatbl → ebatbl[m, ebae][m] = ebae; (s)% ⊦ ⌜m⌝ = ⌜m0⌝ ↔ m = m0; (s) Used formulas: m1 = m