Negation of implies
From Maths
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Statement
Here is the truth table for implies, with the negation computed (the negation is simply ¬(A⟹B) - so ¬ of whatever is in the A⟹B column)
A | B | A⟹B | A | ¬B | A∧(¬B) | ¬(A⟹B) | |
---|---|---|---|---|---|---|---|
T | T | ||||||
T | T | ||||||
T | T | T | T | T | |||
T | T | T | T |
It is easy to see that the negation of implies is the same as A∧(¬B)
So to negate A⟹B we require to have A but not B