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But the White House and top Democrats insist the Hyde provisions do apply to the health care law and that Mr. Pitt’s amendment would take the restrictions even further.

Republicans are taking time off to push a political agenda, House Minority Whip Steny H. Hoyer, Maryland Democrat, told reporters on Tuesday.

“It deals with the health care bill and it goes, as I understand it, beyond, substantially beyond, Hyde, which is the law of the land,” Mr. Hoyer said. “This goes back to the debate we had when we said no public funds would be spent on abortions in this country through the health bill or any other program.”