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Proof step 18 from proof divi-sub (previous step)

n = n1 + n2, m * n = m * n2 + n0, n2 ≤ n ⊦ m * n1 = n0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
m * (n1 + n2) = m * n2 + n0 ⊦ m * n1 = n0

Rule argument

Additional information

Used simplifier rules: c: ⊦ m + n = n + m; from specification nat-basic2%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic2%lep: ⊦ m ≤ m + n; from specification nat