supe
Denotes a superset or equal relationship between mathematical sets, indicating one set contains or equals another.
Overview
Represents the superset-or-equal relation in set theory and mathematical logic, combining both strict superset and equality into a single comparison operator.
- Essential for expressing set relationships in abstract algebra and topology
- Commonly used in proofs and formal mathematical writing
- Often appears alongside other set theory operators in mathematical statements
- Particularly useful when describing nested sets or proving set containment properties
Examples
Showing that the real numbers are a superset or equal to the integers.
\mathbb{Z} \supe \mathbb{R}Expressing that set A is a superset or equal to the intersection of sets B and C.
A \supe (B \cap C)Demonstrating nested set relationships with multiple superset-or-equal symbols.
X \supe Y \supe Z