Do you have the right to be an atheist?

[Cato]

Because a definition should hold true for all values.

If you define a set X as a set of natural numbers,and then i point out a x in X which is not a natural number then the definition is wrong,X is obviously not a set of natural numbers.
Or
The definition should specify something about the x of X in X - which it doesn't in this case so the definition is obviously wrong.

I'm not playing words games or anything i'm just saying what's obvious to me but apparently invisible to you...

(Also i refuse to blindly accept any definition just because it exists - some person,a person,made that definition,and people make mistakes,i've shown what mistake whoever that made that definition made.)

Atheists (X) is defined as the set of all people that don't believe in god (x). You're the one now coming along and throwing in other criteria such as other specific religious beliefs (non-x). 

See, you're still fucking wrong using the exact criteria you prescribed. Words have evolved meaning through usage and consensus. You are the one single-handedly and arbitrarily trying to establish meaning so you alone should be the focus of your ire based on not blindly accepting any definition because some person made the definition. 

The only mistake you have demonstrated is yours.