Heat pumps produce several times the heat as electricity put in. Even with a typical 40%-50% efficiency for a gas power plant you end up with more than 100% eff

Heat pumps produce several times the heat as electricity put in. Even with a typical 40%-50% efficiency for a gas power plant you end up with more than 100% efficiency with a heat pump. If the power plant rest heat is used for instance for district heating you reach efficiency of around 90%. Add the efficiency of heat pumps on top and you end up with something very good.