Does NFmin in cascode LNA depend on the negative feedback inductance?

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anhnha
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Hi,
This is a cascode LNA. Please help me with the question in picture. Thank you.

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No, I am designing a LNA not a homework.

I read some books and papers saying that NFmin in two cases are equal. However, I would like to understand clearly why and read a decent proof.
Do you have ideal how to prove that?
Thanks.
 
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