I will lay out the proof in in one sentence... Because God's word says He did.
There is a thousand x more evidence that it actually happened than not. You'd have a hell of a lot harder time proving He didn't than he did. If you think you can prove He didn't, go for it. Show the evidence. He is the most written about public figure in the history of the world and the shroud is the most studied artifact in the history of the world. Let's see what happens.
https://youtu.be/kWSG5okmUr8?si=xmhrF695aI_7sNkX