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Variants of Łoś's Theorem

Published 24 Jan 2025 in math.LO | (2501.14990v1)

Abstract: We study \L o\'s's theorem in a choiceless context. We introduce some variants of \L o\'s's theorem. These variants seem weaker than \L o\'s's theorem, but we prove that these are equivalent to \L o\'s's theorem.

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