If B then A is the same as if X then Y is the same as if A then B. They are saying it’s the same as the OP. Changing the letters around doesn’t change the meaning since the letters are just placeholders.
Now if you said If A then B AND If B then A as one it wouldn’t be the same because A and B would have to keep the same meaning.
Yeah if vs iff can be confusing at first. Trying to understand it with normal grammar doesn’t work right. It’s a lot more helpful to grok the symbols and so the truth tables by hand to see how they fit together
Wait. If they are effectively the same statement, wouldn’t that mean they ARE equal?
If B then A is the same as if X then Y is the same as if A then B. They are saying it’s the same as the OP. Changing the letters around doesn’t change the meaning since the letters are just placeholders.
Now if you said If A then B AND If B then A as one it wouldn’t be the same because A and B would have to keep the same meaning.
But they switched the order in only the first half of the statement. I don’t know if everyone commenting caught that.
Is “If B then A” equal to “B if and only if A”?
This IS different from the original question.
I mean it is the definition of “if and only if”. And by commutativity we also know that A iff B is equal to B iff A
Oh yeah. I was very confused as to what that meant, but I learned something today.
Yeah if vs iff can be confusing at first. Trying to understand it with normal grammar doesn’t work right. It’s a lot more helpful to grok the symbols and so the truth tables by hand to see how they fit together