Hi, I have this proof goal, where I need to prove that two sets are equal. {{f i | i IN if a IN {b | b IN L} then s1 a else s2 a} | a | a IN if j IN L then s3 j else s4 j} = {{f i | i IN if a IN {b | b IN L} then s1 a else s2 a} | a IN if j IN L then s3 j else s4 j}
I have two questions regarding this proof, first, what is the difference between the first format when we use "|a | a IN...." (the left side of the goal) and the second format "...|a IN..." (the right side of the goal)? Secondly, are these sets equal? because it seems that HOL treats set L in the right side of the goal as a dummy variable of the set. I need help in clarifying the difference between both formats and some clues about how to proceed with the proof if the sets are equal. Best Regards, Yassmeen Elderhalli
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