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Set of least upper bounds multiplied by a constant
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[QUOTE="fresh_42, post: 6049397, member: 572553"] [S]for[/S] "of" or "##\in##" Instead of having this abstract field, you should have better said something about the order required for ##\mathbb{F}##, as it cannot be arbitrary for this reason. Also you use ##a\leq b \Longrightarrow ca\leq cb ## for ##c\geq 0## which is again a condition the order must have. I'm not quite sure whether you need this Lemma first as I think you could directly show the inequalities. That's the difficulty with such "obvious" results, to figure out what has to be shown at all. It looks o.k. so far, even if perhaps a bit too long at the wrong places. [/QUOTE]
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Set of least upper bounds multiplied by a constant
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