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Proof step 13 from proof union-subset (previous step)

n0 < n + m0, n ≤ n0, ∀ n0. n ≤ n0 ∧ ¬ n + m0 < n0 → asar[n0] ⊆ as ⊦ m0 = 0, asar[n0] ⊆ as, union(asar, n, m0) ⊆ as

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 3 terms: n0

Additional information

Used simplifier rules: ⊦ m < n → ¬ n < m; (s) Used terms: n0