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Proof step 12 from proof div2-mult4-add-k (previous step)

(4 * n0) / 2 = 2 * n0 ⊦ (4 * n0 +1) / 2 = 2 * n0 +1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
(4 * n0) / 2 = 2 * n0 ⊦ (4 * n0 + 4) / 2 = 2 * n0 + 2

Rule argument

Additional information

Used simplifier rules: mult-c: ⊦ m * n = n * m; from specification nat-mult%mult-a: ⊦ m0 * m * n = (m0 * m) * n; from specification nat-mult%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m * (n + 1) = m * n + m; (s)% ⊦ m +1 = m + 1; (s)