14 CITIZENS UNITED v. FEDERAL ELECTION COMM’N Opinion of the Court claim is properly before us. And “ ‘[o]nce a federal claim is properly presented, a party can make any argument in support of that claim; parties are not limited to the precise arguments they made below.’ ” Lebron, supra, at 379 (quoting Yee v. Escondido, 503 U. S. 519, 534 (1992); alteration in original). Citizens United’s argument that Austin should be overruled is “not a new claim.” Lebron, 513 U. S., at 379. Rather, it is—at most—“a new argu ment to support what has been [a] consistent claim: that [the FEC] did not accord [Citizens United] the rights it was obliged to provide by the First Amendment.” Ibid. Third, the distinction between facial and as-applied challenges is not so well defined that it has some auto matic effect or that it must always control the pleadings and disposition in every case involving a constitutional challenge. The distinction is both instructive and neces sary, for it goes to the breadth of the remedy employed by the Court, not what must be pleaded in a complaint. See United States v. Treasury Employees, 513 U. S. 454, 477– 478 (1995) (contrasting “a facial challenge” with “a nar rower remedy”). The parties cannot enter into a stipula tion that prevents the Court from considering certain remedies if those remedies are necessary to resolve a claim that has been preserved. Citizens United has preserved its First Amendment challenge to §441b as applied to the facts of its case; and given all the circumstances, we can not easily address that issue without assuming a prem ise—the permissibility of restricting corporate political speech—that is itself in doubt. See Fallon, As-Applied and Facial Challenges and Third-Party Standing, 113 Harv. L. Rev. 1321, 1339 (2000) (“[O]nce a case is brought, no general categorical line bars a court from making broader pronouncements of invalidity in properly ‘as-applied’ cases”); id., at 1327–1328. As our request for supplemen tal briefing implied, Citizens United’s claim implicates the validity of Austin, which in turn implicates the facial

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