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Proof step 1 from proof two-twosucc-02 (conclusion)

⊦ (2 * m + n + 1) / 2 = m + (n + 1) / 2

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: mult: n ≠ 0 ⊦ (n0 + m * n) / n = n0 / n + m;%eq-01: ⊦ m + n = m + n0 ↔ n = n0; from specification nat-basic2%c: ⊦ m + n = n + m; from specification nat-basic2%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic2%mult-c: ⊦ m * n = n * m; from specification nat-mult%mult-a: ⊦ m0 * m * n = (m0 * m) * n; from specification nat-mult