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Proof step 2 from proof add (previous step)

∀ m, n. m ^ (n + n1) = m ^ n * m ^ n1 ⊦ m ^ (n + n1 +1) = m ^ n * m ^ n1 +1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
∀ m, n. m ^ (n + n1) = m ^ n * m ^ n1 ⊦ m ^ (n + n1 + 1) = m ^ n * m ^ (n1 + 1)

Rule argument

Additional information

Used simplifier rules: a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic2%succ: ⊦ m +1 = m + 1; from specification nat-basic2