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txags911 said:
Put a simpler way, if they are not the same number, you bby definition should be able to tell me one number that comes between 0.9999~ and 1. If you cannot do that, they are by definition the same number.

False ...

Between any two rational numbers there is an uncountably infinite number of irrational numbers between them, your irrational number 0.999... is between 0.99999 and 1.0