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Proof step 53 from proof mapped-pebs-remap (previous step)

vols[v][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 ⊦ vols[v][m, ⌜n1⌝ ][m1] = ⌜n⌝ , n = n0

Heuristic weak cut applied rule cut formula

And closed the goal!

Rule argument

fma: m1 = m

Additional information

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