Is there any problem upgrade the 10.1 os of a different carrier?

Here is the deal: I'm from Brazil and 10.1 os in my carrier (vivo) was taking too long to come, but my girlfriend carrier (Oi) is already available. So, I just putted her sim card in my device and upgrade my os to 10.1. Is there any problem for doing that? I mean, apparently is everything okay in my phone. The only difference now is that every time a turn my phone on and off it shows her carrier logo.

Thanks.

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