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Proof step 3 from proof mod-nle (previous step)

n1 < n0, m0 < m, n2 < n0, n1 < n, m * n0 + n2 ≤ m0 * n + n1, n ≤ n0 ⊦

User applied rule cut formula

And obtained the following new goals

Proof step 4:
n = n0, n1 < n, n2 < n0, m0 < m, n1 < n0, n ≤ n0, m * n0 + n2 ≤ m0 * n + n1 ⊦
Proof step 12:
n1 < n, n2 < n0, m0 < m, n1 < n0, n ≤ n0, m * n0 + n2 ≤ m0 * n + n1 ⊦ n = n0

Rule argument

fma: n = n0

Additional information

Used formulas: n = n0