From Longman Dictionary of Contemporary Englishshred of somethingshred of somethingLITTLE/NOT MUCHa very small amount of something There’s not a shred of doubt (=no doubt at all) in my mind that we will win. He does not have a shred of evidence (=he has no evidence at all) to prove his claim. the last shred of hope → shred
Examples from the Corpus
not ... a shred of evidence• For such a contention there would seem to be not a shred of evidence.• If she did, he didn't know what he would do; he had not a shred of evidence.• There is not a shred of evidence that voters trust the Tories to do a better job than Labour. 