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Proof step 15 from proof absexpt-pebs-write (previous step)

# vols[v0] = # avols[v0], apebs[n, apeb][m4] = mkpeb(aehdr0, avhdr0, buf0, m3, boolvar0), vols[v][m] = ⌜n⌝ , apebs[m4] = mkpeb(aehdr, avhdr, buf, m2, boolvar), avols[v0][m0] = mapped(buf0, m1), vols[v0][m0] = ⌜m4⌝ , m < # vols[v], m0 < # avols[v0], valid-ebatbl(apebs, wlar, vols, n0), v ∈ vols, v0 ∈ vols, v0 ∈ avols, m3 ≤ m1, v0 ≠ v ∨ m0 ≠ m ⊦ buf0 = buf ∧ m2 ≤ m1

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 16:
# vols[v0] = # avols[v0], vols[v0][m0] = ⌜m4⌝ , avols[v0][m0] = mapped(buf0, m1), apebs[m4] = mkpeb(aehdr, avhdr, buf, m2, boolvar), vols[v][m] = ⌜n⌝ , apebs[n, apeb][m4] = mkpeb(aehdr0, avhdr0, buf0, m3, boolvar0), m4 = n, m0 < # avols[v0], m < # vols[v], valid-ebatbl(apebs, wlar, vols, n0), v0 ∈ avols, v0 ∈ vols, v ∈ vols, m3 ≤ m1, v0 ≠ v ∨ m0 ≠ m ⊦ buf0 = buf ∧ m2 ≤ m1

Rule argument

fma: m4 = n

Additional information

Used simplifier rules: ⊦ m ≠ n → apebs[n, apeb][m] = apebs[m]; (s)%⊦ mkpeb(aehdr, avhdr, buf, m, boolvar) = mkpeb(aehdr0, avhdr0, buf0, m0, boolvar0) ↔ aehdr = aehdr0 ∧ avhdr = avhdr0 ∧ buf = buf0 ∧ m = m0 ∧ (boolvar ↔ boolvar0); (s) Used formulas: m4 = n