How do I go to cockboard screen by one touch?

How do I go from writing screen to cockboard screen by one touch?

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When a folder is selected, there is an icon in the nav bar that allows you to do this. There is no such icon in your two examples because the first is showing the Draft folder, which only supports a corkboard mode (there is no text associated with the Draft folder), and the second example shows a text document, and you cannot switch to corkboard mode for a text document with no subdocuments (since the corkboard shows the subdocuments of the current selected document).