succneqq

Denotes a strict successor relationship that is explicitly not equal, commonly used in advanced mathematical notation.

Overview

Serves as a specialized relational operator in mathematical logic and set theory, particularly when precise distinctions between succession and equality are crucial.

Essential in formal mathematical proofs where strict ordering relationships need to be distinguished from standard succession
Often appears in advanced algebra and number theory contexts
Useful when describing complex ordered structures where regular succession symbols are insufficient
Frequently employed alongside other specialized comparison operators in detailed mathematical arguments

Examples

Comparing consecutive terms in a strictly increasing sequence.

a_n \succneqq a_{n-1} \text{ for all } n \geq 1

a_n \succneqq a_{n-1} \text{ for all } n \geq 1

Defining a strictly increasing relation on real numbers.

x \succneqq y \implies x > y + \epsilon \text{ for some } \epsilon > 0

x \succneqq y \implies x > y + \epsilon \text{ for some } \epsilon > 0