Lean Software Development is an application of Lean-Thinking to software development.
Lean-Thinking is based on Edwards Deming, Just-In-Time, and automating processes in an appropriate manner. While originating with Toyota, we now consider Toyota to be an example of Lean-Thinking and not defining role. This lets us teach Lean-Thinking without having to resort to manufacturing examples. Lean-Thinking's intent is to increase value delivered in a shorter time period with higher quality and lower cost.