Final answer:
According to the Rules of Golf, a ball is considered holed when it is at rest and the entire ball is below the level of the lip of the hole, so the statement is true.
Step-by-step explanation:
When considering the statement 'When a ball is at rest in the hole after a stroke and the entire ball is below the surface of the putting green, the ball is defined as being holed,' this is indeed true. In the context of golf, a ball is officially considered holed when it is at rest and the entirety of the ball is below the level of the lip of the hole. This definition is a part of the Rules of Golf, which are upheld by governing bodies such as the United States Golf Association (USGA) and the Royal and Ancient Golf Club of St. Andrews (R&A).