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Proof step 2 from proof mapped-pebs-at (previous step)

vols[v][m] = ⌜n⌝ , m < # vols[v], v ∈ vols ⊦ n ∈ mapped-pebs(vols)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
vols[v][m] = ⌜n⌝ , m < # vols[v], v ∈ vols ⊦ ∃ v, m. v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] = ⌜n⌝

Rule argument

Additional information

Used simplifier rules: mapped-pebs: ⊦ n ∈ mapped-pebs(vols) ↔ (∃ v, m. v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] = ⌜n⌝ );% ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic