The validity of your statement pivots on the domain in which you are applying GA. I do not think your three conditions cover the the following case. In a prev

The validity of your statement pivots on the domain in which you are applying GA. I do not think your three conditions cover the the following case. In a previous life, we applied GA to finding defects in design and implementation. The genes were atomic actions one could take with the product. Chromosomes were scenarios. In this case two valid scenarios can be crossed to expose a defect. The system was monitored while the scenario was processed, and fitness was measured as whether or not a defect was detected. One excellent side-affect of this process was that when defective scenarios were used to seed population, we received convergence to a minimum reproduction.