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Proof step 31 from proof divi-same (previous step)

m * n2 + n = n3 + n0, n0 ≤ m * n2 + n, m * n1 = n3 ⊦ m | dist(n, n0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 32:
m * n2 + n = m * n1 + n0 ⊦ m | dist(n, 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