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[–] 4 points 7 months ago

Given that addition is commutative and multiplication is commutative but exponentiation and tetration and the other hyper operators are not, and assuming that there exist partial operations between each such that the repetition rule holds, are the partial-operations between addition and multiplication also commutative?

If not, provide a proof of a partial operation between addition and multiplication for which commutativity does not hold.

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