longrightarrow
Represents a long horizontal right-pointing arrow used to indicate implications, mappings, or logical consequences in mathematical expressions.
Overview
Commonly employed in mathematical proofs, set theory, and formal logic to show relationships between statements or elements.
- Essential in function notation to denote mappings between sets
- Used in logical implications to show that one statement leads to another
- Appears frequently in limit notation and sequential processes
- Popular in theoretical computer science for representing state transitions or transformations
- Often preferred over the shorter arrow (\rightarrow) when emphasizing the connection or when greater visual clarity is needed
Examples
Showing logical implication in a mathematical statement
P \longrightarrow QIndicating a limit as x approaches infinity
\lim_{x \longrightarrow \infty} f(x)Representing a function mapping between sets
f: X \longrightarrow Y