1=0 Part I

Algebra Level 4

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

1) 0=00=0

2) 0=1−10=1-1

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

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

5) 0=1−1+1−⋯−10=1-1+1-\cdots -1

6) 0=1−(1−1+1−1+⋯ )0=1-(1-1+1-1+\cdots)

7) 0=1−((1−1)+(1−1)+⋯+(1−1))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?

Mateo Matijasevick by Mateo Matijasevick
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