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Numbers equal zero

Theorem : All numbers are equal to zero.

Proof: Suppose that a=b. Then
a = b
a^2 = ab
a^2 - b^2 = ab - b^2
(a + b)(a - b) = b(a - b)
a + b = b
a = 0

Furthermore if a + b = b, and a = b, then b + b = b, and 2b = b, which mean that 2 = 1.

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