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Proof step 8 from proof mod-nle (previous step)

n2 < n0 ∧ m0 < m ∧ n1 < n0 → m0 * n0 + n1 < m * n0 + n2, m0 < m, n2 < n0, n1 < n0, m * n0 + n2 < m0 * n0 + n1 ⊦ m * n0 + n2 = m0 * n0 + n1, m = 0, n0 = 0, m0 * n0 + n1 = 0

User applied rule case distinction

And obtained the following new goals

Rule argument

pos: left 1

Additional information