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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.
The Daily Show just won an Emmy this year as well. Pretty much because John Oliver got put into a different category. Last Week Tonight won the Emmy for talk series the last 7 years.