How are newly created bitcoins are validated?

How are newly created bitcoins are validated?

I'm trying to understand how Bitcoin works but there's a concept I can't get my head around.

I understand that transactions are validated by checking the signatures of each input is valid. However how do you validate new bitcoins or rewards that have entered the system through mining if these don't contain any any inputs?

For example if you're checking a transactions inputs are valid eventually you'll reach the point when the inputs were originally mined, so how would you know these were created legitimately?

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