Hello, think i have proved it but is the proof complete, is there any more i should do?
Homework Statement
Let f:[0,1] --> [0,1], f be continuous, f(0)=0, f(1)=1
and let f(f(x)) = x, for all x in [0,1]
prove that f(x) = x.
Homework Equations
The Attempt at a Solution
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