proof is something written in the constitution that backs up your claim,,
No, the constitution is not going to explain predicate logic rules.
Those are an aspect of language, math, logic, and other areas beyond what the constitution is going to say, and assumes we already know how to use.
Again, if the federal government is to be banned from firearm jurisdiction due to the need for an armed citizenry to be able to call up for defense, the lack of need need for an armed citizenry for defense would then not at all imply that then the feds do have firearm jurisdiction.
They still do not.
That is for many reasons.
One is that there is and will always be a need for an armed citizenry for defense.
In fact, as we gain a larger, more corrupt, and more highly profit motivated professional military, the need becomes much greater, not lesser, as now we have a corrupt body of domestic mercenaries to contend with, as well as foreign threats.
Another is that there may always have been dozens of reasons why the feds were to be banned from firearm jurisdiction, and the fact they listed one reason, in no way implies there were not others they did not bother to list.
Another is that clearly there is no need, purpose, or use for federal firearm jurisdiction.
States all differ so widely that they should all have different firearm rules, and nothing is gained by federal interference.
All that means is more distant and deaf legislators, more bureaucratic and corrupt enforcement and prosecution, and fewer personal rights.
Nothing is gained.
And it violates the over all principle, which is that the feds should only do what locals can not do themselves.
And clearly nothing at all is gained by federal firearm laws.
When you do a background checks, it is always done locally anyway.
There is no federal database, nor would a federal database even be legal.