The TPP agreement is still classified, but leaks suggest that it calls for international "courts" in which businesses can sue governments, including ours, for rules that interfere with their businesses -- including environmental rules.
The US Constitution says:
The judicial Power of the United States, shall be vested in one Supreme Court, and in such inferior courts as the Congress may from time to time ordain and establish. . . .
The judicial Power shall extend to all Cases, in Law and in Equity, arising under the Constitution, the Laws of the United States, and Treaties made, or which shall be made, under their authority, . . .
Article III, Sections 1 & 2
Can a treaty set up another court which is not answerable to the US Supreme Court? Is such a court legal under a treaty that does not go before the House and, hence, is not established by Congress?
I realize that this argument can also apply to other, real, international courts. Still, the US has resisted applying the jurisdiction of these to US leaders.