command to find out which packages of MATE desktop are installed and which are available

[Gottfried]

Hi,
I want to find out which MATE Desktop packages are installed on my 
laptop and which are missing.

guix package -I
packages installed via guix package

guix package --profile=/var/guix/profiles/system/profile -I
packages installed via guix system
It shows "MATE" but doesn’t specify which MATE packages are included

guix package --list-installed
everything that is installed

those three commands don’t help me enough.
They don’t show what of MATE is installed and what is still available of 
MATE desktop.

Is there a command to get the difference of what of MATE is installed 
and what is still available?


Kind regards

Gottfried

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