Corollary: General Associative Law of Multiplication

(related to Proposition: Multiplication of Real Numbers Is Associative)

Multiplying more than two numbers can be defined as a repeated multiplication of two numbers, using a suitable parenthesization:

\[\prod_{i=1}^n x_i=x_1\cdot x_2\cdot x_3\cdot\ldots\cdot x_n:=(\ldots((x_1\cdot x_2)\cdot x_3)\cdot\ldots\cdot x_n\]

Proofs: 1

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