Is it justified to break up if you find out they like someone else?

Basically I broke up with my girlfriend of 6 months this evening because I found out she liked someone else through a text she sent to one of my friends I asked her if she liked anyone else and she kept saying she didn't even though there was proof.

So I told her I didn't want to continue this relationship and it had been a good run and I still love her but if she didn't love me there would be no point persuing this relationship any further

Is this justified?

after this she kept begging me not to break up with her and I'm the only one that makes her happy and she loves me... Now 4 hours later I regret breaking up with her and am having thoughts about getting back together but I need your opinions is it worth it...
because if she likes someone else I feel like she's just going to break my heart again and again

So I have no idea what do you guys think

And I know I'm young but it doesn't matter I just need some Input..

thanks

tiddle
Is it justified to break up if you find out they like someone else?
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