$|A| = |B|$ Show that this function is surjective when it is one to one
88201
Suppose $X$ is a finite set and $f : X \to X$ is a function. Then $f$ is injective if and only if $f$ is surjective.
44689
Explicit bijection between $[0,1)$ and $(0,1)$
53101
Is it true that the relation |A| < |B| is a sufficient condition for claiming that $f$ is a bijection?
59133
Show that an inverse of a bijective linear map is a linear map.
74453
Injective and Surjective Functions
80255
How to prove that $|a-b|<\epsilon$ implies $|b|-\epsilon<|a|<|b|+\epsilon$?
16092
How to prove that the composition of two surjective functions is surjective
111129
Show that $[K:F]_s = [K:L]_s [L:F]_s$ and $[K:F]_i = [K:L]_i [L:F]_i$.
88278
Show $S = f^{-1}(f(S))$ for all subsets $S$ iff $f$ is injective
43246
Showing that if $a<b$, then $a^{1/n} < b^{1/n}$
49953
Proving that a function from $N\times N$ to $N$ is bijective.
33196
show that A(T) is a group under operation of composition of functions
19355
prove $f(x)=x^3+x$ is one to one and onto
116732
Proving that a continuous map is surjective
6023
Surjectivity of Composition of Surjective Functions
6788
Let $(a,b)$ and $(c,d)$ be intervals in $\Bbb R$, and find an injective and surjective function from $(a,b)$ to $(c,d)$
65977
Showing function is injective iff $f(M_1 \cap M_2) = f(M_1)\cap f(M_2)$