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Proof step 14 from proof valid-ebatbl-remap (previous step)

vols[v0, vols[v0][m2, ⌜n⌝ ]][v][m] = ⌜n1⌝ , vols[v0][m2] = ⌜n1⌝ , apebs[n] = mkpeb(aehdr, avidhdr(v0, m2, m3, m4, m5), buf, m6, boolvar), apebs[n1] = mkpeb(aehdr0, avhdr, buf0, m7, boolvar0), wlar[n] = wl-entry(m9, stat0), m < # vols[v0, vols[v0][m2, ⌜n⌝ ]][v], m2 < # vols[v0], n < # apebs, n < # wlar, n1 < # wlar, v ∈ vols[v0, vols[v0][m2, ⌜n⌝ ]], 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 weak cut applied rule cut formula

And obtained the following new goals

Proof step 15:
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⌝ , vols[v0, vols[v0][m2, ⌜n⌝ ]][v][m] = ⌜n1⌝ , v = v0, n1 < # wlar, n < # wlar, n < # apebs, m2 < # vols[v0], m < # vols[v0, vols[v0][m2, ⌜n⌝ ]][v], v0 ∈ vols, v ∈ vols[v0, vols[v0][m2, ⌜n⌝ ]], ∀ 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
Proof step 27:
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⌝ , vols[v0, vols[v0][m2, ⌜n⌝ ]][v][m] = ⌜n1⌝ , n1 < # wlar, n < # wlar, n < # apebs, m2 < # vols[v0], m < # vols[v0, vols[v0][m2, ⌜n⌝ ]][v], v0 ∈ vols, v ∈ vols[v0, vols[v0][m2, ⌜n⌝ ]], ∀ 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, v = v0

Rule argument

fma: v = v0

Additional information

Used formulas: v = v0