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clarify that this applies only to locally finitely presentable categories
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Mike Shulman
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The stronger claim is true andat least for locally finitely presentable categories; this follows from Proposition 4.3 in https://arxiv.org/pdf/1005.2910.pdf.

The stronger claim is true and follows from Proposition 4.3 in https://arxiv.org/pdf/1005.2910.pdf.

The stronger claim is true at least for locally finitely presentable categories; this follows from Proposition 4.3 in https://arxiv.org/pdf/1005.2910.pdf.

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Jiří Rosický
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The stronger claim is true and follows from Proposition 4.3 in https://arxiv.org/pdf/1005.2910.pdf.