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logic - Difference between "!= true" and "== false"?

Are there any technical/logical differences between the comparison "!= true" and "== false" in programming languages, and if there are, which comparison should be chosen on what occasion?

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Logically there can be differences depending on the type of value that you are comparing and language you are using. For example:

x == false implies x != true, but x != true does not always imply x == false because x can also be some nonsense value.

1 + 1 = 3 is both == false and != true.

7 > cat is neither == false and != true since it is nonsense.

x = null is != true but is not == false.


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