Well, I haven't claimed to be able to to that, but to write mostly bugless code :) Though, writing insightful comments in the code helps. If anyone has doubt, you explain in a friendly way why they're wrong (if they are). Though, not all reviewers will study the code suffciently to find possible bugs, and also many findings are not the right/wrong kind but more about style/architecture.
Since you're actually writing tests (you say you're doing checks, which are effectively tests.) Why not just add them to a test suite?
You win twice, or more.
You get proof of the assertions you're making to your peers, you get regression tests to cover your code when it's being refactored, you also get to strongly document the intent of your code so that others can know it deeply, relatively quickly.
See devs like yourself who claim they aren't writing tests, but in essence they are, the only difference is they're not persisting their tests, and losing their value beyond initial validation of the correctness of the code.