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Proof step 12 from proof sorted-insert-merge (previous step)

m0 + 1 < n0, m0 < n0, A[n0 + 1] < A[n0], n0 + 1 < n, n0 + 1 < # A, m0 < # A, n ≤ # A, ∀ n0. m0 + 1 < n0 ∧ n0 + 1 < n → ¬ A[n0 + 1] < A[n0], ∀ n1. n1 < m0 → ¬ A[n1 + 1] < A[n1] ⊦ n0 = m0 + 1, n0 = m0, A[2 + m0] < a, a < A[m0], A[2 + m0] < A[m0]

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 8 terms: n0

Additional information

Used terms: n0