summation on an index and a set

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I have an index DC and a set of values CM, and it is a CM element and CM is a subset of DC. I have two summations shown above. The first sum is complete index DC and the subset CM. The light brown part of the first sum says that the sum should only include if c is an element of CM. The second point is about the elements of CM.

These two summations appear in an equation (not given here for the sake of simplicity). Is there an easy way to make these summations?

Thank you…