1.) I have to prove myself that I'm a good leader. 2.) I have to prove to myself that I'm a good leader.
closed as off-topic by Nathan Tuggy, Hellion, Jason Bassford, RubioRic, ColleenV♦ Mar 12 at 18:09
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Both are correct. But each one has its own indication.
I have to prove myself that I'm a good leader.
Using "myself" here is for emphasizing the fact that you are a good leader and feel the need to prove that to others.
- "Myself" can be omitted safely without changing the meaning of the sentence.
I have to prove to myself that I'm a good leader.
The addition of "to" shifts the need to prove that fact to yourself instead of to other people.
- Omitting "to myself" changes the sentence to be directed toward others.