Axiom of Choice and LEFT inverse
49276
Why don't you need the Axiom of Choice when constructing the "inverse" of an injection?
131889
Axiom of choice and calculus
146188
Why does a proof of $\exists f: X\to Y$ injection $\iff \exists g: Y \to X$ surjection requires the axiom of choice?
145875
Inverse of a bijection f is equal to its derivative
139992
Is power-associativity finitely axiomatizable?
102202
The smallest infinity and the axiom of choice
17059
A ring element with a left inverse but no right inverse?
46698
Showing a set is closed under inverses
53113
$I-AB$ be invertible $\Leftrightarrow$ $I-BA$ is invertible
20252
The Axiom of Choice and the Cartesian Product.
121847
Don't we need the axiom of choice to choose from a non-empty set?
130865
Why is the axiom of choice separated from the other axioms?
44148
Functions that are their own inverse.
38242
Explicit bijection between the successor of $\alpha$ and $\alpha$ (infinite ordinal).
88566
Is denying "Paradoxical Partitioning" equivalent to accepting the Axiom of Choice?
37182
If an element has a unique right inverse, is it invertible?
155207
Confusion regarding one formulation of the Axiom of Choice.