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

n = n0, m * n0 + n2 ≤ m0 * n + n1, m0 < m, n ≤ n0, n2 < n0, n1 < n, n1 < n0 ⊦ m = 0, n0 = 0, n = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
m * n0 + n2 ≤ m0 * n0 + n1, m0 < m, n2 < n0, n1 < n0 ⊦ m = 0, n0 = 0

Rule argument

Additional information

Used simplifier rules: ler: ⊦ m ≤ m; from specification nat