Neither of you have ever seen the 1=2 clause apparently. If we're going to be using math to disprove something, then why don't we disprove math?
a = b
ab = b^2
ab-a^2 = b^2-a^2
a(b-a) = b^2-a^2
a(b-a) = (b-a)(b+a)
a = b+a
a = a+a
a = 2a
1 = 2
And I don't want to hear that "division by zero" bullshit when you're trying to figure this out, that's only taken into account for sixth grade algebra. Waiting on the rebuttal.