It's not evidence, but there being no life on any planet of the hundreds of trillions that exist out there breaks the Copernican principle haaaaard. Shoot, there may be life aside from out own that exists in the solar system not to mention the wider galaxy and universe. So despite there not being much evidence one way or the other, I do think it's a little silly to assume no life exists anywhere outside of Earth.
You quote that principle, yet here you are making faith-based statements.
Like, I said, it's statistically impossible that we are the only planet in the universe with living things on it. The universe is basically infinite for all we know, there's basically no way we are the only living things out there. We can't get proof because as far as we know the next closest planet that could even sustain life could be billions of miles away and we couldn't even know if there are living beings there. We just know what the qualifications are (as far as we know) for life to develop and we've seen at least a few planets that seem like they could sustain life due to how similar they are to earth.
How are you going to extrapolate statistics from 1 data point, exactly?