Let be a metric space. Prove that for all : I haven't been able to prove it, I'm sure the triangle inequality should be used but I don't know how. Thanks in advance.
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Originally Posted by MATHNEM Let be a metric space. Prove that for all : I haven't been able to prove it, I'm sure the triangle inequality should be used but I don't know how. Thanks in advance. To prove: you need to prove: 1. 2.
Last edited by Also sprach Zarathustra; January 7th 2012 at 11:35 PM.
Originally Posted by Also sprach Zarathustra To prove: you need to prove: 1. 2. I hadn't seen the inequality that way Thank you so much.
Originally Posted by MATHNEM Let be a metric space. Prove that for all : Start with Again . Now add.
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