Definition of Stand up to

Babylon English Dictionary
resisted, was tough, stood before
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Stand up to Definition from Language, Idioms & Slang Dictionaries & Glossaries
ENGLISH IDIOMS 2.EDITION
challenge, not back down Please stand up to the bully. Tell him to stop hitting us.
English Idioms WM 1.3a
challenge, not back down 
Please stand up to the bully. Tell him to stop hitting us.
Stand up to Definition from Business & Finance Dictionaries & Glossaries
Campbell R. Harvey's Hypertextual Finance Glossary
Used in the context of general equities. Make a good-sized market in the trader's own bid and offering prices. Hence, standing up to the bid signifies the trader's willingness to buy size (i.e., 50m) volume at his advertised bid, even if the customer buyer/seller falls down.
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