Equivalence between submodular function definitions.

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I am trying to show that the definitions, given by wikipedia, of a submodular set function are equivalent. See section definition of: http://en.wikipedia.org/wiki/Submodular_set_function. Mainly I want to show that 2 if and only if 3. I succeeded with 3 implies 2. Can anybody help with 2 implies 3?

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See slide 30 onwards of these lectures by Jeff Bilmes: http://melodi.ee.washington.edu/~bilmes/ee595a_spring_2011/lecture2.pdf