no such thing
Nothing like that, nothing of the kind, as in We've been looking for a car without air-conditioning, but no such thing is available. [Mid-1500s]
On the contrary, certainly not, as in You thought I was quitting? No such thing! [Mid-1700s]
The American Heritage® Idioms Dictionary Copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.