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Proof step 14 from proof valid-ebatbl-add-unmapped-vol (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
vols[v0][m] = ⌜n0⌝ , apebs[n0] = mkpeb(aehdr, avhdr, buf, m3, boolvar), wlar[n1] = wl-entry(m2, free), wlar[n1, wl-entry(m1, used)][n0, wl-entry(m0, erasing)][n0] = wl-entry(m4, stat), m < # vols[v0], v0 ∈ vols, # wlar ≤ n0, ∀ 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 ⊦ v ∈ vols

Rule argument

Additional information

Used simplifier rules: ⊦ m ≤ n → (n < m ↔ false); (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ # wlar[n, wle] = # wlar; (s)