Showing that two maps are injective
126472
Surjective endomorphisms of uniserial modules
63146
Proof of properties of injective and surjective functions.
37058
Induced maps in homology are injective
27188
Bijection between $\mathbb{R}$ and $\mathbb{R}/\mathbb{Q}$
40868
Composition of two functions - Bijection
100107
How can I prove that a linear map $T:V\to V$ such that $T^2 = I$ is equal to the Identity map?
46863
Show that $g$ is injective
132868
Bijection between an infinite set and its union of a countably infinite set
52323
Maps - question about $f(A \cup B)=f(A) \cup f(B)$ and $ f(A \cap B)=f(A) \cap f(B)$
42941
Pair of adjoint functors and showing that two certain maps are inverses
21391
Proving Functions are Surjective
86107
Map bounded if composition is bounded
45710
Finishing a proof: $f$ is injective if and only if it has a left inverse
89514
Show that if $g \circ f$ is injective, then so is $f$.
44689
Explicit bijection between $[0,1)$ and $(0,1)$
60731
Factorization of a map between CW complexes
10307
Show the inverse of a bijective function is bijective