The Dead Horse Theory (see below) is very relevant as the antithesis of Lean Thinking, whereby the natural instinct of management is to ask people to work harder and faster or use cliched terms such as "we must work smarter" but basically doing anything other than stopping and fixing the issue that has 'killed the proverbial horse'.
The Juxtaposition that Lean Thinking presents is to take some time to understand why we have a problem and to first of all state the problem in terms of the 5Ws+1H (link), before undertaking true root cause analysis and putting in place countermeasures to resolve the causes of the problem, rather than trying to address the symptoms through a traditional 'command and control' approach.
This takes courageous leadership, more time on the P part of PDCA (link) and coaching of team members and colleagues, who will mostly just want to take action (The DDDD Cycle!). However, if you wish to avoid the Dead Horse approach becoming a disabler of your organisation's performance, it is essential that we make this paradigm shift.
As stated in the picture, the Dakota Indians passed down by generation the paradigm:
"When you discover that you are riding a dead horse, the best strategy is to dismount"
This is essentially Principle 5 of Toyota's 14 Management Principles, which states:
"Build a Culture of stopping to fix problems, to get Quality right first time"
"I aim to promote the global sharing of best practices in the application of Lean Thinking."