Is there a build-in shortcut for inserting \mathrm{} and putting the cursor between {} in AUCTeX?

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    Try C-c C-f C-r; you can find the key sequence by looking at the "Insert Font" menu. – Constantine Nov 21 '14 at 0:20

C-c C-f C-r will do it. Check out the AUCTeX manual for the keybindings for all of the standards.

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