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Proof step 2 from proof mult (previous step)

∀ m, m0. (m * m0) ^ n0 = m ^ n0 * m0 ^ n0 ⊦ (m * m0) ^ n0 +1 = m ^ n0 +1 * m0 ^ n0 +1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
∀ m, m0. (m * m0) ^ n0 = m ^ n0 * m0 ^ n0 ⊦ (m * m0) ^ (n0 + 1) = m ^ (n0 + 1) * m0 ^ (n0 + 1)

Rule argument

Additional information

Used simplifier rules: succ: ⊦ m +1 = m + 1; from specification nat-basic2