Proof of 1 = 2
It is x = x
Both sides are squared
x^2 = x^2
and x^2 subtracted from both sides
x^2 - x^2 = x^2 - x^2
We now introduce transformations on both sides of the terms by:
x ⋅ (x - x) = (x + x) ⋅ (x - x)
Now we can divide by (x-x) and it follows:
x = x + x
And in particular for x: = 1, it follows
1 = 1 + 1 = 2 Q.E.D.
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Where is the lie?