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Proof step 21 from proof valid-ebatbl-remap (previous step)

vols[v0][m] = ⌜n1⌝ ∧ v0 ∈ vols ∧ m < # vols[v0] ↔ wlar[n1].status = used ∧ n1 < # apebs ∧ n1 < # wlar ∧ apebs[n1].vidhdr.valid? ∧ apebs[n1].vidhdr.vol = v0 ∧ apebs[n1].vidhdr.leb = m ∧ n1 ≠ n0, vols[v0][m] = ⌜n1⌝ , wlar[n] = wl-entry(m9, stat0), apebs[n1] = mkpeb(aehdr0, avhdr, buf0, m7, boolvar0), apebs[n] = mkpeb(aehdr, avidhdr(v0, m2, m3, m4, m5), buf, m6, boolvar), vols[v0][m2] = ⌜n1⌝ , m < # vols[v0], n1 < # wlar, n < # wlar, n < # apebs, m2 < # vols[v0], 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 ⊦ m = m2, n = n0, n1 = n0, stat0 = used

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 22:
wlar[n1].status = used, vols[avhdr.vol][m2] = ⌜n1⌝ , apebs[n] = mkpeb(aehdr, avidhdr(avhdr.vol, m2, m3, m4, m5), buf, m6, boolvar), apebs[n1] = mkpeb(aehdr0, avhdr, buf0, m7, boolvar0), wlar[n] = wl-entry(m9, stat0), vols[avhdr.vol][avhdr.leb] = ⌜n1⌝ , avhdr.valid?, m2 < # vols[avhdr.vol], n < # apebs, n < # wlar, n1 < # wlar, n1 < # apebs, avhdr.leb < # vols[avhdr.vol], avhdr.vol ∈ 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 ⊦ avhdr.leb = m2, n = n0, n1 = n0, stat0 = used

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).vidhdr = avhdr; (s)%lf-02: ⊦ m < n ∧ m = n0 → n0 < n; (forward) from specification nat-basic