1=0 Part I

Algebra Level 4

Here is my attempt to demonstrate that 1=01=0.

1) 0=00=0

2) 0=110=1-1

3) n0=n(11)n\cdot 0=n(1-1), nn is a big natural number.

4) 0=(11)+(11)+...+(11)n times0=\underset { n\text{ times} }{ \underbrace { (1-1)+(1-1)+...+(1-1) } }

5) 0=11+110=1-1+1-\cdots -1

6) 0=1(11+11+)0=1-(1-1+1-1+\cdots)

7) 0=1((11)+(11)++(11))0=1-((1-1)+(1-1)+\cdots +(1-1))

8) 0=1(0+0++0)0=1-(0+0+\cdots + 0)

9) 0=10=1

In which step is the first error committed?

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