Axiom one , ur mum is gay or she isn't gay
Let's assume for the sake of contradiction that ur mum isn't gay
That would imply that ur mum isn't gay
Which is clearly not true
Which means that the initial proposition was false . Which then means that the opposite must be true, meaning that ur mum is infact gay. And therefore the reinman hypothesis is true, QED

Please award me with the Nobel Peace prize now