A well known equality

Number theory
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Tolaso J Kos
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A well known equality

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Post by Tolaso J Kos »

We use the notations used in the previous two posts (namely here and here).

Prove that:

$$[a, (b, c)]=([a, b], [b, c])$$

Although this equality is in fact too known, pardon me, but I don't have a solution.
Imagination is much more important than knowledge.
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