More guns will result in more people getting shot. That is simply a fact.
It really is not.
Since the sixties the number of guns in circulation has steadily risen , with spurts upwards now and then.
You can't be right , or the number of violent deaths could not have ever reduced during this increase in the number of guns available.
But the number of violent deaths percapata and overall has fallen.
I consider your axiom to be thoroughly disproven merely by this.
But also there are a lot of cities with easier access to guns than Chicago that have lower violence rates, this also alone is enough to make the rule you propose is factual , not.
You might want to compare the violence rates in London and Tokyo and Canberra to Washington D.C. and Chicago and Atlanta, but this assumes too much.
Aren't the violent crimes in London and Tokyo and Canberra that have nothing at all to do with guns , also lower than the same crimes in Washington D.C. and Chicago and Atlanta?
The number of criminals is the strongest factor in the number of crimes, the tools of the criminal all have substuites and work arounds where they are forbidden.