\Longrightarrow

The \Longrightarrow symbol is used in mathematical notation to denote a logical implication or a transformation that is more significant or emphasized than the standard implication arrow (\Rightarrow). It is often used in proofs or derivations to indicate that one statement or result leads to another in a strong or definitive way.

Examples

Indicates that statement A logically implies statement B in a strong sense.

A \Longrightarrow B

Shows that if x equals 2, then x squared equals 4, emphasizing the definitive result.

x = 2 \Longrightarrow x^2 = 4

Illustrates a chain of implications where P implies Q and Q implies R, with strong emphasis on each step.

P \Longrightarrow Q \Longrightarrow R