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Proof step 17 from proof max-a (previous step)

n ≤ m, n0 ≤ n, n0 ≤ m ⊦ m = max(max(m, n), n0)

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 18:
max(m, n) < n0, n ≤ m, n0 ≤ n, n0 ≤ m ⊦ m = max(max(m, n), n0)
Proof step 20:
n ≤ m, n0 ≤ n, n0 ≤ m ⊦ max(m, n) < n0, m = max(max(m, n), n0)

Rule argument

fma: max(m, n) < n0

Additional information

Used formulas: max(m, n) < n0