Regarding the US Constitution, the answer is yes. The states created the federal government and whatever laws not covered in it were left to the states.
Implied.
implied power
federal government.
Statements are not implied; implications are not stated.
implied powers
implied powers.
an implied power
The U.S. Constitution does not grant any :implied" powers to the federal government. The authority delegated to the federal government is narrow and explicit, according to Article 10, all powers not expressly provided by the Constitution is reserved exclusively to the States or to the People.
Those delegated powers of the National Government that are suggested by the expressed powers set out in the Constitution.
Hamilton did think that the federal government had implied powers. He argued to use mans adequate to his ends. A~C
The judical branch
article one, section 8