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Proof step 56 from proof divi-same (previous step)

n2 = n0 + n1 ∧ n1 ≤ n2, m * n2 = m * n1 + n3 ⊦ m * n0 = n3

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 57:
m * (n0 + n1) = m * n1 + n3 ⊦ m * n0 = n3

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