u/XTPotato_

Since no real number fit between 0.999... and 1, they are equal

No real number fit between 0.999...8 and 0.999...9 too, so they are equal

No real number fit between 0.999...7 and 0.999...8 too, so they are equal

After some induction, we find that no real number fit between 0.000...0 and 0.000...1 too. 0=1 QED

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u/XTPotato_ — 4 days ago