\Downarrow

The symbol \Downarrow is used to represent a downward double arrow. It is often used in mathematical logic and set theory to denote implication or a downward movement in a sequence or hierarchy.

Examples

Indicates that A implies B in a logical expression.

A \Downarrow B

Shows that if x is an element of set A, then it is also an element of set B.

x \in A \Downarrow x \in B

Represents a sequence of implications or steps in a proof.

P \Downarrow Q \Downarrow R