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/usr/share/lyx/layouts/agu_stdcounters.inc is in lyx-common 2.2.2-1.

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The actual contents of the file can be viewed below.

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# Author : José Matos <jamatos@lyx.org>
#          Martin Vermeer <martin.vermeer@hut.fi>

# This include file contains all the counters that are defined as standard
# in AGU-Article LyX layouts.

Format 60
Counter sect1
	Within               section
End

Counter sect2
	Within               sect1
End

Counter sect3
	Within               sect2
End

Counter sect4
	Within               sect3
End

Counter sect5
	Within               sect4
End

Counter p
End