How can I write a generic anonymous method?

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Nope, sorry. That would require generic fields or generic properties, which are not features that C# supports. The best you can do is make a generic method that introduces T:

public Func<IList<T>, T> SelectionMethod<T>() { return list => list.First(); }

And now you can say:

Func<IList<int>, int> selectInts = SelectionMethod<int>();

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