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Proof step 8 from proof disj-rec (previous step)

n < m, n0 < m, ∀ n1, n2. ¬ m < n1 ∧ ¬ m < n2 ∧ n1 ≠ n2 → asar[n1] ∩ asar[n2] = ∅ ⊦ #(asar[n0] ∩ asar[n]) = 0, n0 = n, asar[n0] ∩ asar[n] = ∅

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 3 terms: n0, n

Additional information

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