As discussed in the Proof Explorer page, the Metamath proof that "2+2=4" 
has 26,323 steps. 

The reason for such a long proof is Metamath first defines the real and the 
complex numbers. There are good reasons to do so.

However, I would like to check the proof that "2+2=4" using basic ZFC, 
which would probably result in a shorter proof.

I see there is another proof (the one of Principia Mathematica), but I 
think (but I am not 100% sure) that this proof is not the simple one I am 
looking for.

Has a simple proof for "2+2=4" been written in metamath?

Thank you in advance.

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