Implies

<logic> (=> or a thin right arrow) A binary Boolean function and logical connective.

A => B is true unless A is true and B is false.

The truth table is

A B | A => B ----+------- F F |

T F T |

T T F |

F T T |

T

It is surprising at first that A => B is always true if A is false, but if X => Y then we would expect that (X & Z) => Y for any Z.

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