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Proof step 7 from proof min-a (previous step)

n < n0, n ≤ m ⊦ n = min(min(m, n), n0)

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 8:
n < n0, min(m, n) < n0, n ≤ m ⊦ n = min(min(m, n), n0)
Proof step 10:
n < n0, n ≤ m ⊦ n = min(min(m, n), n0), min(m, n) < n0

Rule argument

fma: min(m, n) < n0

Additional information

Used formulas: min(m, n) < n0