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Proof step 19 from proof valid-ebatbl-add-unmapped-vol (previous step)

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

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 20:
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
Proof step 22:
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], 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, n1 < # wlar, v ∈ vols

Rule argument

fma: n1 < # wlar

Additional information

Used formulas: n1 < # wlar