Every claim you make is your responsibility to substantiate. The default state of any proposition is not acceptance — it is suspension. To assert is to incur a debt to evidence. Those who demand that others disprove their claims have inverted the rational order.
This is not merely an academic rule. It is the foundation of honest discourse. When someone says "prove me wrong," they are refusing to do the intellectual work they have assigned themselves by making an assertion in the first place.
Rational discourse requires that the claimant carry their burden without complaint. The strength of an argument is not measured by how loudly or repeatedly it is made.