"2=1"
Let X=Y
X^2=XY
X^2+X^2-2XY=XY+X^2-2XY
2(X^2-XY)=X^2-XY
2=1
"1=-1"
-1=-1
1/-1=-1/1
SQRT1/-1=SQRT-1/1
SQRT1/SQRT-1=SQRT-1/SQRT1
1/i=i/1 Note: the square root of -1 is defined as i
i/i=i^2/1
1=-1/1
1=-1
"Theorem"

We're going to be using MI (Mathematical Induction) for this one.

Theorem: A positive integer n is equal to any positive integer which does not exceed it.
Proof by induction:
Case n = 1. The only positive integer which does not exceed 1 is 1 itself and 1 = 1.
Assume true for n = k. Then k = k-1. Add k to both sides and get...
k+1=k


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