stop at nothing
Do everything in one's power, be prevented by no obstacle, as in She'll stop at nothing to get her revenge. This expression was first recorded in John Dryden's Aurengzebe (1676): “The World is made for the bold impious man; Who stops at nothing, seizes all he can.”
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The American Heritage® Idioms Dictionary
Copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.