Cheater? Able to get proof?

Good morning. Quick question, if you had suspicion that your significant other was cheating and lying about a lot of things and you had a rare opportunity to look through their phone would you?

Edit: I have talked to him and asked him about things and he always convinces me that he isn't hide anything, but I can't shake the feeling. He has a very routine way he goes about things. Lately they have been a little off, which i know could be nothing, but I just can't help feeling he is hiding things. I don't like the idea of snooping, but it's to the point I'd rather know for sure one way or the other. It's not fair to either of us if he is especially since I have been supporting him through 'rough patches' which is one of the things I think he is lying about.