- #1

Syrus

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## Homework Statement

I understand the proof of the implicit function theorem up to the point in which I have included a photo. This portion serves to prove the familiar equation for the implicit solution f(x,y) of F(x,y,z)=c. My confusion arises between equations 8.1-4 and 8.1-5 when it is stated to "consider F as a function of x and z only." Why is this at all plausible?