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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def check_valid_hierarchies(instance):
 """ Additional check for the hierarchies model, to ensure that levels given are pointing to actual dimensions """

    hierarchies = instance.get('hierarchies', {}).values()
    dimensions = set(instance.get('dimensions', {}).keys())
    all_levels = set()
    for hierarcy in hierarchies:
        levels = set(hierarcy.get('levels', []))
        if len(all_levels.intersection(levels)) > 0:
            # Dimension appears in two different hierarchies
            return False
        all_levels = all_levels.union(levels)
        if not dimensions.issuperset(levels):
            # Level which is not in a dimension
            return False
    return True