Inverting a dictionary with list values

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My solution for reversing a dictionary. However, it creates a new dictionary new_dic:

new_dic = {}
for k,v in index.items():
    for x in v:
        new_dic.setdefault(x,[]).append(k)

Output :

{'tosse': ['Testfil1.txt'], 'nisse': ['Testfil2.txt'], 'svend': ['Testfil1.txt'], 'abe': ['Testfil1.txt', 'Testfil2.txt'], 'pind': ['Testfil2.txt'], 'hue': ['Testfil1.txt', 'Testfil2.txt']}

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