Given that 𝑓 ◦ 𝑓 is a bijection, prove that 𝑓 itself must be a bijection
40868
Composition of two functions - Bijection
10458
How to define a bijection between $(0,1)$ and $(0,1]$?
12825
Bijection between $2^{\mathbb R}$ and $\mathbb{ R ^ R}$
38242
Explicit bijection between the successor of $\alpha$ and $\alpha$ (infinite ordinal).
35953
Prove that a function is not injective
141496
Could someone make the proof into a hinted exercise?
380
Bijection from modular multiplication?
146436
Cardinality of the set of bijective functions on $\mathbb{N}$?
23125
Prove that there is a bijection between the set of all subsets of $X$, $P(X)$, and the set of functions from $X$ to $\{0,1\}$.
2072
Demonstrate that if $f$ is surjective then $X = f(f^{-1}(X))$
133699
Proving that there is a bijection between $A$ and $B$.
100399
A doubt with a part of a certain proof.
16092
How to prove that the composition of two surjective functions is surjective
63146
Proof of properties of injective and surjective functions.
130381
bijection from $(a,b)$ to $\Bbb R$
145077
A continuous bijection $f:\mathbb{R}\to \mathbb{R}$ is an homeomorphism?
142168
can we a prove ⊢ (α → α) → (α → α)