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Proof step 27 from proof divi-sub (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 28:
m * (n0 + n2) = n1 + m * n2 ⊦ m * n0 = n1

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