- #1
Lee33
- 160
- 0
Homework Statement
Let ##f## be a continuous map from ##[0,1]## to ##[0,1].## Show that there exists ##x## with ##f(x)=x.##
2. The attempt at a solution
I have ##f## being a continuous map from ##[0,1]## to ##[0,1]## thus ##f: [0,1]\to [0,1]##. Then I know from the intermediate value theorem there exists an ##x## with ##f(x)=x## but I don't know how to formally prove it?