This summary is not the rule. The rule text controls.
If you're the person filing a petition asking the court to overturn or change your conviction or sentence, you're the one who has to prove your case. You need to lay out the facts that support your claim and show that it's more likely than not that those facts are true. This is called a "preponderance of the evidence" standard, which basically means showing your side is more believable than not.
The state also has a job to do in this process. If the state believes there's a legal reason your petition should be blocked (called a "ground of preclusion"), like you missed a filing deadline or already raised this issue before, the state has to bring that up and explain why it applies. But once the state raises that argument, the ball goes back in your court. You then have to prove that the reason for blocking your petition doesn't actually apply to your case.
So in short, you carry the main responsibility for proving your claim deserves relief. If the state tries to argue your claim shouldn't be allowed for some procedural reason, you then have to prove that argument is wrong.
