When the president infers powers from the "rights, duties, and obligations" of the presidency, these are called inherent powers.
The President of the United States and Congress have inherent powers, which are those that are not expressly stated in the Constitution. The "Vesting Clause" in Article II, Section 1 of the Constitution is the source of the president's inherent powers.
The Constitution's vague phrases that "the executive Power shall be vested in a President" and that the president "shall take care that the laws be faithfully executed" give rise to the President's authority in the United States (defined in practice, rather than by constitutional or statutory law).
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