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Here's a pretty clear view of one form of the double roof system, with no-daruki (hidden structural rafters) above, and decorative rafters, kesho daruki, below

eave structural view

Another view of the double roof system

eave structural view２

Here's a view of a double roof from underneath, before the eave ceiling boards have been fitted

eave structure

Here's a view of a typical roof structure, and the decorative rafters are clearly visible below. Fanning cantilever rafters, ha-ne-gi, have been installed, and yet to come are the hidden structural rafters

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Here's an example of a residential roof employing fan rafters, or ogi-daruki