This is inconsistent with virtually every shred of scientific evidence we have.

The court did not have a shred of evidence,

There's not a shred of credible evidence he was ever in that car.

We have not done anything wrong. There isn't a shred of evidence to back up any allegation that's been made, and there won't be.

There's not a single, solitary shred of evidence that I did anything wrong. . . .

Claims that cannot be tested, assertions immune to disproof are veridically worthless, whatever value the may have in inspiring us or in exciting our sense of wonder.