# Category:Examples of Surjections

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This category contains examples of **Surjection/Definition 1**.

$f: S \to T$ is a **surjection** if and only if:

- $\forall y \in T: \exists x \in \Dom f: \map f x = y$

That is, if and only if $f$ is right-total.

## Subcategories

This category has only the following subcategory.

### E

## Pages in category "Examples of Surjections"

The following 16 pages are in this category, out of 16 total.

### R

### S

- Surjection/Examples
- Surjection/Examples/Arbitrary Finite Set
- Surjection/Examples/Doubling Function on Reals
- Surjection/Examples/Floor of Half x+1 on Integers
- Surjection/Examples/Half Even Zero Odd
- Surjection/Examples/Negative Function on Integers
- Surjection/Examples/Non-Surjection
- Surjection/Examples/Non-Surjection/Arbitrary Mapping on Sets
- Surjection/Examples/Real Sine Function to Image
- Surjection/Examples/Real Square Function to Non-Negative Reals