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Proof step 12 from proof in-union-ext (previous step)

adr ∈ asar[n0], n0 ≤ n + m0, n ≤ n0 ⊦ # asar[n0] = 0, asar[n0] = ∅, adr ∈ union(asar, n, m0), adr ∈ asar[n + m0], ∃ n0. n ≤ n0 ∧ n0 < n + m0 ∧ adr ∈ asar[n0]

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

pos: right 5 terms: n0

Additional information

Used simplifier rules: ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ m ≤ n → (n ≤ m ↔ m = n); (s) Used terms: n0