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Proof step 20 from proof valid-ebatbl-add-unmapped-vol (previous step)

wlar[n1, wl-entry(m1, used)][n1] = wl-entry(m4, stat), wlar[n1] = wl-entry(m2, free), apebs[n1] = mkpeb(aehdr, avhdr, buf, m3, boolvar), vols[v0][m] = ⌜n1⌝ , m < # vols[v0], n1 < # wlar, v0 ∈ 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 ≠ n0 ⊦ n1 = n0, v ∈ vols

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 21:
wlar[n1] = wl-entry(m2, free), apebs[n1] = mkpeb(aehdr, avhdr, buf, m3, boolvar), vols[v0][m] = ⌜n1⌝ , m < # vols[v0], n1 < # wlar, v0 ∈ 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 ≠ n0 ⊦ n1 = n0, v ∈ vols

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ wl-entry(m, stat) = wl-entry(m0, stat0) ↔ m = m0 ∧ stat = stat0; (ws)% ⊦ m < # wlar → wlar[m, wle][m] = wle; (s)