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Proof step 22 from proof cut (previous step)

# ar = m + 1, n ≤ m ⊦ ar[n] = copy(ar, 1, mkarray(m + 1), 1, m)[0, ar[0]][n], ar = []

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Proof step 23:
# ar = m + 1, m < # ar[m, a], n ≤ m ⊦ ar[n] = copy(ar, 1, mkarray(m + 1), 1, m)[0, ar[0]][n], ar = []

Rule argument

fma: m < # ar[m, a]

Additional information

Used simplifier rules: ⊦ # ar[n, a] = # ar; (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ m = n + 1 → ¬ m ≤ n; (s) Used formulas: m < # ar[m, a]