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Extension: Continuous Injections Are Monotone

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Explanations 1

If fff is an injection in the range [a,b][a,b][a,b] this means that for x,y∈[a,b]x,y \in [a,b]x,y∈[a,b], f(x)=f(y) ⟺ x=yf(x) = f(y) \iff x=yf(x)=f(y)⟺x=y. Let's think about this…
By Evan Fang, Victor Wang