Going back-words, each data mart should list the dimensions and measures, to ensure that dimension and facts are fulfilling the information needs for a business theme.
Data Mart typically has one to one link with fact table. The fact table grain is the most granular level of business event or entity which can provide the level of detail needed by Data Mart.
With Data Marts mapped with facts and dimensions, its time to list the set of facts and the derived facts to be used ACROSS the data warehouse and data marts.
With Data Marts mapped with facts and dimensions, its time to list the entire set of dimensions and their attributes to be used ACROSS the data warehouse and data marts.
With a clarity of data marts, dimensions and attributes, it time to cross over to design phase. First cross over is the mapping of the source systems to dimensions/Attributes and facts.