Not necessarily. You figure out why and tear you own straw man down.
Not necessarily? You said that there were no implied powers. The Constitution in Article I Section 8 specifically authorizes funding a branch of the military called an Army and a branch called a Navy. It does not specifically authorize an Air Force. Now, Article I Section 8 does say that Congress shall have the power to provide for the common defense, and one might imply in that the power to establish however many different branches of the military necessary to accomplish that. But as you told us earlier, there are no implied powers only specifically defined ones. So by all means tell us how an Air Force can exist without the specificConstitutional authority to fund one?