Was there ever any doubt if Lufthansa are involved ??
Let's see.....
You wanna buy Swiss ?? No problem....
You wanna buy Austrian ?? No problem...
You wanna buy Luxair ?? No problem....
You wanna buy BMI ?? No problem....
You wanna buy Germanwings ?? No problem....
You wanna buy SN Brussels ?? No problem....
Now you wanna sell BMI to IAG ?? No problem....
The only thing to wonder about is whether IAG would have been allowed to buy BMI if it had not already been owned by Lufthansa....