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Proof step 26 from proof valid-ebatbl-add-unmapped-vol (previous step)

avhdr.leb = m, avhdr.vol = v0, wlar[n1, wl-entry(m1, used)][n0, wl-entry(m0, erasing)][n2] = wl-entry(m4, stat), wlar[n1] = wl-entry(m2, free), apebs[n2] = mkpeb(aehdr, avhdr, buf, m3, boolvar), stat = used, avhdr.valid?, n2 < # apebs, n2 < # wlar, ∀ 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 ⊦ n2 = n1, v ∈ vols, vols[v, fill(mkebatbl(n), unmapped)][v0][m] = ⌜n2⌝ ∧ v0 ∈ vols[v, fill(mkebatbl(n), unmapped)] ∧ m < # vols[v, fill(mkebatbl(n), unmapped)][v0]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 27:
wlar[n1, wl-entry(m1, used)][n0, wl-entry(m0, erasing)][n2] = wl-entry(m4, used), wlar[n1] = wl-entry(m2, free), apebs[n2] = mkpeb(aehdr, avhdr, buf, m3, boolvar), avhdr.valid?, n2 < # apebs, n2 < # wlar, ∀ 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 ⊦ n2 = n1, v ∈ vols, vols[v, fill(mkebatbl(n), unmapped)][avhdr.vol][avhdr.leb] = ⌜n2⌝ ∧ avhdr.vol ∈ vols[v, fill(mkebatbl(n), unmapped)] ∧ avhdr.leb < # vols[v, fill(mkebatbl(n), unmapped)][avhdr.vol]

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic