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Proof step 20 from proof valid-ebatbl-write-data (previous step)

vols[v][m] = ⌜n⌝ , wlar[n] = wl-entry(m3, stat), apebs[n] = mkpeb(aehdr, avhdr, buf0, m0, boolvar), apebs[n, mkpeb(aehdr, avhdr, buf1, m1, boolvar)][n] = mkpeb(aehdr0, avhdr0, buf, m2, boolvar0), m < # vols[v], v ∈ vols, # apebs ≤ n, ∀ 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 quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 8 terms: v, m, n

Additional information

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