Notation for product of arbitrary list

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If I have an arbitrary list

$$L = [2,3,7]$$

What is the proper notation for the product of all the elements in this list?

My guess is

$$\prod_{x\in L} x = 42$$

or maybe

$$\prod_{i} x_i, x \in [2,3,7] = 42$$

Are either of these correct?

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Yeah, the first one is more standard in mathematics. $$ \prod_{x\in L} x = 42 $$