Iff - Wikipedia, the free encyclopedia: "The difference between 'if' and 'iff'
Put simply, the difference between if and iff can be explained with the following two sentences:
1. Madison will eat pudding if the pudding is a custard. (equivalently: If the pudding is a custard, then Madison will eat it)
2. Madison will eat pudding if and only if (iff) the pudding is a custard.
Sentence (1) states only that Madison will eat custard pudding. It does not however preclude the possibility that Madison might also be prepared to eat bread pudding. Maybe she will, maybe she will not. The sentence does not tell us. All we know for certain is that she will not refuse custard pudding.
Sentence (2) however makes it quite clear that Madison will eat custard pudding and custard pudding only. She will not eat any other type of pudding."
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