[Texasforever]

But, I have a little problem about his signing something, to get around Congress, that needs congressional approval to be removed. . .

Sorry I missed your point. The "Antiquities act" specifically grants a sitting president the authority to declare "National Monuments". That is a congressional authorization. However;, congress retains the power to modify OR "veto" any "monument" it chooses.

[Alabama_Wild_Man]

OK - But if a (supposed) Law was written to allow a President to enact something - it should follow suit that a sitting President can strike it down. . .

(But that might just make too much sense, I reckon. . . )