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# Exercise 42 - Chapter 2

edited June 2018
1. Is $$( \mathbb{N} , \le, 1, *)$$ a monoidal preorder, where $$*$$ is the usual multiplication of natural numbers?

2. If not, why not? If so, find a monoidal monotone $$( \mathbb{N} , \le, 0, + ) → ( \mathbb{N} , \le, 1, * )$$.

Definition symmetric monoidal preorder

$$f(n) = 3^n$$
Comment Source:\$$f(n) = 3^n \$$