I don't have the proof on me, since I'm not a university or a museum.
But yes, there is proof.
Just for the example, look at us humans. You can look at the fossil records, our DNA records, our skeleton systems, and our biological and geographical evidence.
This is "Lucy", a fossilized skeleton:
She is the oldest fossil of an up-right animal that resembles both the great apes and humans.
DNA records, 96% of our DNA is almost identical to chimpanzees. And again, our morphed chromosome matches two of their chromosomes. DNA records also show that people from the Britain area have Neanderthal DNA, showing that humans once crossbred between those two species.
Our skeleton system is very close to the great apes, aside from our upright posture and larger brain capacity.
Biological and geographical evidence shows that humans came out of Africa, the same continent where other great apes are found.
There is also proof in vestigial organs. Humans still have tail bones.
And whales still have their bones for hindlegs:
And yes, I trust science and I trust human intelligence. You want to know why? Because thousands of scientists peer review each other, they critique each other, they find holes in each others' arguments, and they bicker back and forth like a disgruntled married couple. Science is testing, and testing, and more testing. Science, real science, is not one person getting an idea and that one person proclaiming it as fact. It starts as a hypothesis, it goes through thousands of harsh testing, it needs to be backed up by evidence, facts, etc. and it goes through peer reviews and critiques.