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  • $\begingroup$ In the documentation pages, this seems to be done through the stylesheet. They set the cell option CellContext -> CellGroup on both the "Input" and "Output" styles. Examine FileNameJoin[{$InstallationDirectory, "SystemFiles", "FrontEnd", "StyleSheets", "Wolfram", "Reference.nb"}]. $\endgroup$ Commented Dec 12, 2019 at 12:38
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    $\begingroup$ Sorry, I don't use the cloud version much and am unfamiliar many such things. I tried adding private StyleDefinitions to a cloud notebook. I took them from a desktop notebook, in which CellContext -> CellGroup works properly. However, on the cloud, the StyleDefinitions have no effect. This might be a limitation of the WolframCloud. Maybe someone else will come along who has better knowledge than me. $\endgroup$ Commented Dec 12, 2019 at 13:04
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    $\begingroup$ Here is the StyleDefinitions from my desktop notebook: StyleDefinitions -> Notebook[{Cell[StyleData[StyleDefinitions -> "Default.nb"]], Cell[StyleData["Input"], CellContext -> CellGroup, MenuSortingValue -> 10000], Cell[StyleData["Output"], CellContext -> CellGroup, MenuSortingValue -> 10000]}, WindowSize -> {808, 905}, WindowMargins -> {{20, Automatic}, {Automatic, 44}}, FrontEndVersion -> "12.0 for Mac OS X x86 (64-bit) (April 8, 2019)", StyleDefinitions -> "PrivateStylesheetFormatting.nb"] -- but it didn't work on the cloud, as I said. $\endgroup$ Commented Dec 12, 2019 at 13:06
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    $\begingroup$ Yes, CellContext is not implemented in its entirety in the cloud yet, but it's on our list. $\endgroup$ Commented Dec 13, 2019 at 9:28
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    $\begingroup$ To download that stylesheet file from the cloud, you'd have to turn it into a proper cloud object (in your cloud directory) first, e.g. using CopyFile[FileNameJoin[{$InstallationDirectory, "SystemFiles", "FrontEnd", "StyleSheets", "Wolfram", "Reference.nb"}], CloudObject["Reference.nb"]]. Then you can download it using the in-browser cloud file explorer, or by executing e.g. CopyFile[CloudObject["Reference.nb"], "Reference.nb"] in desktop Mathematica. $\endgroup$ Commented Dec 13, 2019 at 9:30