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Proof step 18 from proof valid-ebatbl-update-wlar-unused (previous step)

vols[v][m2] = ⌜m⌝ , wlar[m] = wl-entry(m0, stat), apebs[m] = mkpeb(aehdr, avhdr, buf, m3, boolvar), m2 < # vols[v], m < # 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 ≠ n ⊦ stat = used, stat0 = used

Heuristic quantifier applied rule all left

And closed the goal!

Rule argument

pos: left 7 terms: v, m2, m

Additional information

Used simplifier rules: f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%lf-02: ⊦ m < n ∧ m = n0 → n0 < n; (forward) from specification nat-basic% ⊦ wl-entry(m, stat).status = stat; (s) Used terms: v, m2, m