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1 definition by SAH aka the GSH

 
1.
1. x = y
2. xy = y^2
3. xy - x^2 = y^2 - x^2
4. x(y - x) = (y + x)(y - x)
5. x = y + x
6. x = x + x
7. x = 2x
8. 1 = 2

QED
As proven, 1 = 2, thus 0 = 1, etc. And so for any number i, there is an equivalent j that is not equal to i.

This is further explained in the Identity Theft Theorem.
by SAH aka the GSH October 16, 2006