I assumed that you understood that the original joke was about having 0 wishes.

I also assumed that you were making a joke about factorials.

I decided to make my own joke about “!=” in your joke being misinterpreted as the programming symbol for “not equal”.

My statement should be read as “0 is not equal to 1”. This is a vacuously true statement, as it does not rely rely on any input, and is always true.

I don’t see how the vacuously true statement 0 != 1 has any relevance here.