Proving a function is bijection
45792
Rigorous proof that surjectivity implies injectivity for finite sets
12825
Bijection between $2^{\mathbb R}$ and $\mathbb{ R ^ R}$
71156
$f(x) = \frac {ax+b}{cx+d}$ , bijection $f: \Bbb R \to\Bbb R$?
67451
Building a bijection from a finite union of countable sets to $\mathbb{N}$
32340
Continuous bijections and their inverses
111756
How do I prove that then $f(x) = 1$ for some $x ∈ [0, 1]$?
146356
To prove two sets are isomorphic is it sufficient to find 2 injections or 2 surjections?
53168
Surjective, Injective, Bijective Functions from $\mathbb Z$ to itself
33014
Bijection between an open and a closed interval
141225
Number of all bijective functions from A to A.
136538
How can I show that a bijection between $[0,1)$ and $(0,1)$ cannot be continuous?
10307
Show the inverse of a bijective function is bijective
32127
Example where $f\circ g$ is bijective, but neither $f$ nor $g$ is bijective
72642
Continuous bijection from $(a,b) \to S^1$?
70034
Showing that this set of functions is a group.
35953
Prove that a function is not injective
84301
Showing that some Function on the Unit Disc is injective