When state courts prevent a capital defendant from obtaining the formal process necessary to substantiate severe constitutional violations in his trial and sentencing proceedings, do the state courts run afoul of this Court's precedents when they subsequently decline to enforce federal constitutional rights by faulting the defendant for not obtaining the evidence earlier?

Whether state courts violate the federal constitution's right to due process by applying state procedural rules to prevent substantial claims of federal constitutional violations from being heard?

Whether state courts violate the federal constitution's right to due process by applying state procedure rules in a way that conflicts with precedent from this Court and the federal courts of appeals, where the state courts apply those rules to preclude protection of a defendant's federal constitutional rights?

Whether state courts violate the federal constitution's right to due process by applying state procedural rules to prevent substantial claims of federal constitutional violations from being heard?