Why it's a lie: The House Republicans have twice passed bills to fund nearly all the functions of the federal government through December 15. Congress must fund appropriations for nearly all federal programs each year by the time the fiscal year begins on October 1, or the programs will face shutdown. But the president and Democratic Senate have threatened to veto the House-approved spending unless the House passes a bill that also includes funding for ObamaCare. The White House and Senate Democrats do not object to any spending that is in the House bill; they are only objecting to funding that's not in the bill. The reality is that President Obama is holding the federal government — and federal employees’ paychecks — hostage in order to extort more funding from the House.
False claim #2: Republicans must fund ObamaCare because it's the law.
Why it's a lie: While it is true that Congress enacted ObamaCare in 2010, the original bill contained zero funding. The original ObamaCare law was not self-funded, and funding of ObamaCare is what's at issue in Washington today. ObamaCare requires new appropriations spending each year, as Article I, Section 9 of the U.S. Constitution requires that “No money shall be drawn from the treasury, but in consequence of appropriations made by law.” Generally, this means annual spending bills passed by Congress, though in some rare instances Congress passes spending for more than a year.
The Congress has complete discretion about whether to fund — or not fund — the programs it sets up under law, and Congress defunds laws all the time — such as pork barrel purchases for the military weapons systems that are never funded. In fact, Congress is doing precisely the same thing right now under the sequester law, to the utter silence of Democratic Party mouthpieces like Chris Matthews. And no one argues that these are inappropriate uses of Congress' discretion of what to fund.
Regarding ObamaCare, there's a stronger case to deny funding than most pork barrel military weapons projects. President Obama proposed the law with a price tag of $900 billion over 10 years, but the Congressional Budget Office recently projected that costs would be roughly double the price estimated by Congress at the time it was passed into law.