Yes, that is true.
However, our republic benefits from many checks and balances.
The power of a minority in the Senate was established by Senate rules and can be changed by the Senate whenever it wishes to change its own rules.
The power of the Republican MAJORITY in the House is established by the Constitution. Laws only take effect if both the Senate and the House approve and the bill is then signed by the President.
Boehner is making the statement that the power of the House will be used to maintain the power of the Republican minority in the Senate. Reid can ignore Boehner and proceed with changing the rules in the Senate.
What Reid cannot accomplish is forcing Boehner and the House majority to approve any bill passed by a simple majority in the Senate. Effectively, Boehner can "filibuster" any bill passed in the Senate by not bringing it up for a vote in the House or by having the Republican majority in the House vote against such a bill. The effect is the same; the bill passed in the Senate will fail to become law.
The exception to this power of a majority in the House involves those powers of the Senate which do not require any action by the House, such as the confirmation of Supreme Court Justices and other Presidential appointments or the ratification of Treaties.
I would be happy to see any level of obstruction possible by the House if it insured that the non-liberal majority on the Supreme Court is maintained.
I see. Thanks for the clarification.
Any bill passed via the filibuster rule change will be DOA in the House.