I think your statement would only be valid in a rising market perhaps. I can find examples of stocks that fell after splits. My only point was to clarify what some people misunderstand about stock splits. The split, in and of itself, does nothing to the actual intrinsic value. It's all about perception, and, in some cases, the company hopes by doing so that it will change the perception of the stock in a positive light.

Your statement would be more accurate to say, "...stock price generally increases FOLLOWING a split, once the dust settles." Semantics, but important...