May a § 2255 defendant prove that his ACCA-enhanced sentence was based upon the residual clause through a process of elimination?

QUESTION PRESENTED In Johnson v. United States, this Court held that the residual clause of the Armed Career Criminal Act is unconstitutional. In Welch v. United States, this Court applied the Johnson rule retroactively to cases on collateral review. Under 28 U.S.C. § 2255, when a defendant collaterally attacks his sentence under Johnson, he bears the burden of proving that the sentence was based upon the now-forbidden residual clause. But how may he meet that burden? May a § 2255 defendant, faced with a silent record below, prove that his ACCA-enhanced sentence was indeed based upon the residual clause through a process of elimination or, put another way, that a predicate offense does not fit within the statute’s alternative sources: the elements and enumerated crimes clauses? And may he prove his case by surveying post-sentencing case law, including this Court’s decisions clarifying the meaning of those alternative clauses?