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Proof step 2 from proof lf-mapped-data (previous step)

vols[v][m] = ⌜n⌝ , apebs[n] = mkpeb(aehdr, avhdr, buf0, m0, boolvar), avols[v][m] = mapped(buf1, m1), m < # vols[v], abs(avols, apebs, vols, q), v ∈ vols ⊦ buf1 = buf0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
avols[v][m] = mapped(buf1, m1), apebs[n] = mkpeb(aehdr, avhdr, buf0, m0, boolvar), vols[v][m] = ⌜n⌝ , m < # vols[v], abs(avols, apebs, vols, q), v ∈ vols ⊦ buf1 = buf0

Rule argument

Additional information

Used simplifier rules: ⊦ mapped(buf, m).mapped?; (s)% ⊦ m < n → n ≠ 0; (s)%abs-vols-mapped: ⊦ v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] = ⌜n⌝ ∧ abs(avols, apebs, vols, q) → avols[v][m].mapped?; (forward) from specification ubi-abs%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic