Machine learning. The i.i.d assumption (help me with notation)

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Can someone explain what the author meant in the underlined sentence that $D^{m}$ should be. And it would be great if the answer being with the mathematical notation so that the meaning is unambiguous.

The book is Understanding Machine Learning: From Theory to Algorithms by Shai Shalev-Shwartz and Shai Ben-David

Page 38. enter image description here