To the contrary, trust arises from being able to verify. Otherwise, you never know whether a failure is because of ill intentions or errors. That's why I very much dislike “trust, but verify”. I prefer “trust, and verify”.
What's the meaning of "I trust you that the amount of cash you've given me is correct" when you then proceed to count it? If you're verifying, why do you need to say "I trust you"? A trustworthy and an untrustworthy person will get equally verified.
I trust you, about your intention and effort. But I verify because there are too many moving pieces in the world that can go wrong, that you may have no control over
Well the thing is, that’s how trust already works isn’t it? Trust doesn’t require any effort. Trust means I won’t put in effort. So I just verify, because I trust.