# Category:Axioms/Axiom of Choice

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This category contains axioms related to Axiom of Choice.

Related results can be found in Category:Axiom of Choice.

For every set of non-empty sets, we can provide a mechanism for choosing one element of each element of the set.

- $\displaystyle \forall s: \paren {\O \notin s \implies \exists \paren {f: s \to \bigcup s}: \forall t \in s: \map f t \in t}$

That is, one can always create a choice function for selecting one element from each element of the set.

## Subcategories

This category has the following 2 subcategories, out of 2 total.

### A

## Pages in category "Axioms/Axiom of Choice"

The following 6 pages are in this category, out of 6 total.