i. If it rains next Sunday, then Andy will only go to the football game if Bob does.
ii. If Andy will only go to the foot ball game on Sunday if it rains, then Bob will definitely go to the Sunday football game regardless of the weather.
My gut feeling is they are not equivalent. I chose the following three predicates: r: It rains next Sunday, b: Bob goes to the game, a: Andy goes to the game. And then it seems like the statements would then be:
i. $r \rightarrow (b \leftrightarrow a)$ ii. $(a \leftrightarrow r) \rightarrow b$
Then if I choose the case where it rains on Sunday, Bob goes to the game, but Andy doesn't, statement i is false, but statement ii is true. Have I translated these correctly?