# Category:Subset Relation

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This category contains results about **the subset relation**.

Definitions specific to this category can be found in Definitions/Subset Relation.

The **subset relation**, written $\subseteq$, is the class of all ordered pairs $\tuple {x, y}$ such that $x$ is a subset of $y$.

## Subcategories

This category has the following 7 subcategories, out of 7 total.

### S

- Subset Relation is Ordering (4 P)

### T

## Pages in category "Subset Relation"

The following 20 pages are in this category, out of 20 total.

### C

### O

### S

- Set of Chains is Closed under Chain Unions under Subset Relation
- Set of Mappings can be Ordered by Subset Relation
- Set of Relations can be Ordered by Subset Relation
- Slow g-Tower is Slowly Well-Ordered under Subset Relation
- Subset Relation is Antisymmetric
- Subset Relation is Ordering
- Subset Relation is Reflexive
- Subset Relation is Transitive
- Subset Relation on Power Set is Partial Ordering