I've underlined the specific text:
Originally Posted by Congress
(a) Notwithstanding any provision of the law of any State or political subdivision thereof (except as provided in subsection (b)), a person who is not prohibited by Federal law from possessing, transporting, shipping, or receiving a firearm, and who is carrying a valid identification document containing a photograph of the person, and a valid license or permit which is issued pursuant to the law of a State and which permits the person to carry a concealed firearm, may possess or carry a concealed handgun (other than a machinegun or destructive device) that has been shipped or transported in interstate or foreign commerce, in any State, other than the State of residence of the person, that--
‘(1) has a statute that allows residents of the State to obtain licenses or permits to carry concealed firearms; or
‘(2) does not prohibit the carrying of concealed firearms by residents of the State for lawful purposes.
So, to shorten it up: a person who is not prohibited by Federal law . . . who is carrying a valid identification . . .and a valid license or permit . . . . which permits the person to carry . . . ., may possess or carry a concealed handgun . . . .in any State, other than the State of residence of the person, that--