Definition of stand up phrasal verb from the Oxford Advanced Learner's Dictionary

  

stand up

 phrasal verb
phrasal verb
 
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Phrasal Verbs
 to be on your feet There were no seats left so I had to stand up. You'll look taller if you stand up straight.
(informal) to deliberately not meet somebody you have arranged to meet, especially somebody you are having a romantic relationship with I've been stood up!

stand up (to something)

 
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to remain valid even when tested, examined closely, etc. His argument simply doesn't stand up to close scrutiny. I'm afraid this document will never stand up in a court of law.
See the Oxford Advanced American Dictionary entry: stand up