leftrightarrow
Represents a bidirectional arrow indicating equivalence, mutual implication, or two-way relationships between mathematical expressions.
Overview
Essential for expressing logical equivalence, biconditional statements, and reversible relationships in mathematics and formal logic.
- Commonly used in mathematical proofs to show if-and-only-if conditions
- Appears frequently in set theory to denote bijective mappings
- Used in chemistry to represent reversible reactions or equilibrium
- Important in formal logic for expressing material equivalence between propositions
- Helpful in computer science for showing bidirectional data flow or mutual dependencies
Examples
Showing logical equivalence between two mathematical statements.
p \land q \leftrightarrow q \land pRepresenting a reversible chemical reaction.
H_2 + I_2 \leftrightarrow 2HIIndicating bidirectional mapping between sets.
f: A \leftrightarrow B