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Proof step 17 from proof valid-ebatbl-remap (previous step)

vols[v0][m2, ⌜n⌝ ][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 = m2, 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 ⊦ n = n0, n1 = n0, stat0 = used

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
apebs[n1] = mkpeb(aehdr0, avidhdr(v0, m2, m3, m4, m5), buf0, m7, boolvar0), vols[v0][m2] = ⌜n1⌝ , wlar[n1] = wl-entry(m9, stat0), n1 < # wlar, n1 < # 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 ⊦ n1 = n0, stat0 = used

Rule argument

Additional information

Used simplifier rules: ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar) = mkpeb(aehdr0, avhdr0, buf0, m0, boolvar0) ↔ aehdr = aehdr0 ∧ avhdr = avhdr0 ∧ buf = buf0 ∧ m = m0 ∧ (boolvar ↔ boolvar0); (s)%lf-02: ⊦ m < n ∧ m = n0 → n0 < n; (forward) from specification nat-basic% ⊦ ⌜m⌝ = ⌜m0⌝ ↔ m = m0; (s)% ⊦ m < # ebatbl → ebatbl[m, ebae][m] = ebae; (s)