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The fact that you "feel" you have a "conscience" doesn't really explain what conscience is, it is a philosophical matter. In my view, the same goes with feeling like you don't belong to your physical gender, but nothing is set in stone so I respect your feelings and your opinion.
People don't need to "prove" their feelings for them to be valid, and gender dysphoria is a medically recognized condition with plenty of evidence with more coming out as this topic becomes the subject of more studies, which makes you a transphobe for denying it.
