none the worse for
1
Not harmed from, as in He was none the worse for walking the entire ten miles, or This carpet may be old, but it's none the worse for wear. [Early 1800s]
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2
Be improved by, as in The dog would be none the worse for a good brushing. [Early 1800s]
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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.