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Is there a formal way of saying a<b and c<d implies ac<bd, like a theorem from algebra or something? Just wondering because I used it for my inductive step.
 
Is there a formal way of saying a<b and c<d implies ac<bd, like a theorem from algebra or something? Just wondering because I used it for my inductive step.
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I believe the way you wrote it should be fine for the proof.
  
 
[[Category:MA375Spring2009Walther]]
 
[[Category:MA375Spring2009Walther]]

Revision as of 16:15, 24 January 2009

Is there a formal way of saying a<b and c<d implies ac<bd, like a theorem from algebra or something? Just wondering because I used it for my inductive step.

I believe the way you wrote it should be fine for the proof.

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