Boolean Implication

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Boolean implication A implies B simply means “if A is true, then B must be true”. This implies (pun intended) that if A isn’t true, then B can be anything. Thus:

False implies False -> True
False implies True  -> True
True  implies False -> False
True  implies True  -> True

This can also be read as (not A) or B – i.e. “either A is false, or B must be true”.

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