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A logical symbol indicating that the left statement is implied by or follows from the right statement.

\impliedby image

Examples

Basic logical statement showing 'is implied by'

B \impliedby A \text{ means 'B is implied by A'}

Mathematical proof with implied condition

x^2 = 4 \impliedby x = 2 \text{ (but not only)}

Logical equivalence using both implications

p \land q \impliedby q \land p