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varsupsetneqq

Denotes a strict superset relationship with an additional negation and variant styling, commonly used in set theory and mathematical logic.

Overview

Serves as a specialized mathematical relation symbol that combines the concepts of proper superset and inequality in a stylistically distinct form.

  • Particularly useful in advanced set theory proofs where precise relationship distinctions are crucial.
  • Often employed when standard superset notation needs visual differentiation.
  • Commonly appears alongside other set-theoretical symbols in formal mathematical writing.
  • Preferred in contexts where the variant form adds clarity or emphasis to mathematical arguments.

Examples

Comparing two infinite sets where one is a proper superset of another.

RQ\mathbb{R} \varsupsetneqq \mathbb{Q}
\mathbb{R} \varsupsetneqq \mathbb{Q}

Demonstrating strict set containment in power sets.

P(A){,A}\mathcal{P}(A) \varsupsetneqq \{\emptyset, A\}
\mathcal{P}(A) \varsupsetneqq \{\emptyset, A\}

Showing proper superset relationship between number systems.

CRQZ\mathbb{C} \varsupsetneqq \mathbb{R} \varsupsetneqq \mathbb{Q} \varsupsetneqq \mathbb{Z}
\mathbb{C} \varsupsetneqq \mathbb{R} \varsupsetneqq \mathbb{Q} \varsupsetneqq \mathbb{Z}