Is this proverg correct? As I understand it, it says: if you have weak stones und strong stones and some enemy stones in between push from your weak stones into your strong stones.

I have not heard the thread title before but guess what it recommends: the attacker defends his own weak group while driving the oppononent's weak group to the attacker's strong group because this makes defense particularly hard for the opponent. Of course, there can be alternative strategies, which might be better in some positions.

Hi Pippen,

I feel it's a corollary ( or application ) of this other guideline.

My feeling also. But it would also give some nice advice if you don't have particular thickness, just two own groups - one stronger than the other - from where to attack.

Yes. You can't attack while you are weak. Or else, you will become the one being attacked.
...except if, with one stone, you repair your weakness and attack the opponent at the same time.

This is what my teacher (8d-9d Tygem) always says when I do the opposite. I believe this is one of kyu/low dan principles that is well worth remembering when attacking.