Tychonoff Theorem and the axiom of choice

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How to show that

The Tychonoff Theorem and the axiom of choice are equivalent?

Here I want to collect ways to prove it.

Thanks for your help.

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Hint: J. Terilla, Tychonoff’s Theorem, P7.

Theorem 9. The Tychonoff theorem $‎\Leftrightarrow‎$ the axiom of choice .