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Proof step 1 from proof lf-mapped-in-apebs (conclusion)

⊦ v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] = ⌜n⌝ ∧ valid-ebatbl(apebs, wlar, vols, n0) → n < # apebs

System applied rule normalize

And obtained the following new goals

Proof step 2:
vols[v][m] = ⌜n⌝ , m < # vols[v], valid-ebatbl(apebs, wlar, vols, n0), v ∈ vols ⊦ n < # apebs

Rule argument

Additional information