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Proof step 38 from proof valid-ebatbl-remap (previous step)

wlar[n, wl-entry(m0, used)][n1, wl-entry(m1, erasing)][n1] = wl-entry(m8, stat), vols[v0][m2] = ⌜n1⌝ , apebs[n] = mkpeb(aehdr, avidhdr(v0, m2, m3, m4, m5), buf, m6, boolvar), apebs[n1] = mkpeb(aehdr0, avhdr, buf0, m7, boolvar0), wlar[n] = wl-entry(m9, stat0), vols[v0, vols[v0][m2, ⌜n⌝ ]][v][m] = ⌜n1⌝ , m2 < # vols[v0], n < # apebs, n < # wlar, m < # vols[v0, vols[v0][m2, ⌜n⌝ ]][v], n < n1, v0 ∈ vols, v ∈ vols[v0, vols[v0][m2, ⌜n⌝ ]], # wlar ≤ n1, ∀ 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 ⊦ n = n0, n1 = n0, stat0 = used

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 15 terms: v0, m2, n1

Additional information

Used simplifier rules: ⊦ m ≤ n → (n < m ↔ false); (s) Used terms: v0, m2, n1