Corollary: General Commutative Law of Multiplication

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

Let the numbers \(x_{1},x_{2},\ldots,x_{n}\in\mathbb R\) be given and let \((k_1,\ldots,k_n)\) be an arbitrary permutation of the consecutive indices \(1,\ldots,n\).

Then it is \[x_{k_1}\cdot x_{k_2}\cdot \ldots\cdot x_{k_n}=x_{1}\cdot x_{2}\cdot \ldots\cdot x_{n}.\]

Proofs: 1

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