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Mathematical analysis
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An upper bound of a set always belongs to the set.
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If a set is bounded below, then it has an infimum.
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What is the minimum?
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The infimum of a nonempty set always belongs to the set.
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Every bounded set of real numbers has both a maximum and a minimum.
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What is the infimum?
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What is the maximum?
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What is the supremum?
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