Question: Looking for minimum points in a list

I have a set which is represented as a list L (in particular in L there are no repeated values!).

I would like to determine for which index j the element op(j,L) realizes the minimum of L. Is there a built-in function to accomplish this task?

More generally, call OL the list L rearranged in increasing order;  is there a way to determine the permutation which transforms the list L in the list OL?

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