Here is a copy/paste from the current version of Sound System Engineering:
If we raise two microphones to the same level in a reinforcement system, we will have to reduce the overall gain 3 dB to avoid the system going into feedback (remember how decibels combine). Since each microphone is sampling the sound field, every time you double the number of open microphones (NOM), we will have to lower the gain 3 dB, Fig. 14-3. Therefore the loss in gain caused by more than one open microphone is: NOM (in dB) = 10logNOM .
I suspect you mean it's proportional to 1/NOM, otherwise that equation fails a basic check of dimensional analysis.
Chris