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Products of trivial Kan fibrations are trivial Kan fibrations.

Lemma 14.30.6. Let $X_ i \to Y_ i$ be a set of trivial Kan fibrations. Then $\prod X_ i \to \prod Y_ i$ is a trivial Kan fibration.

Proof. Omitted. $\square$

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Suggested slogan: Products of trivial Kan fibrations are trivial Kan fibrations.

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