Republicans on the House Judiciary Committee have advanced a bill that would let anyone legally permitted to carry a concealed weapon in one state to carry it in any other state even if the second state’s rules are more stringent than the first.

The Constitutional Concealed Carry Reciprocity Act, introduced by Representatives Tracey Mann and Richard Hudson, both Republicans, would make it easier for the more than 22 million Americans with concealed carry permits to travel across state lines with their weapons.