No, it is false that during the Industrial Revolution, the population declined due to a decrease in life expectancy, since in fact in many parts of the west life expectancies increased, due to increased incomes from more job opportunities.
This is false. Actually there was a rapid increase in the population number in every country that was undergoing through the industrial revolution. That's because it enabled for the development of various technologies that were great for developing medicine. This made it possible to live longer and have fewer accidents and the population increased.