Yep! And I've corrected it. Thanks everyone

Fair point. they usually do have bleed or bypass channels but that's a technicality.

Important distinction too; a turbojet isn't the engine on an airliner, those are turbofans.

They're called the because the big turbine blade at the front produces most of the THRUST. A turbojet is referred to as a "low bypass" engine versus a turbofan being a "high bypass" engine. Bypass just refers to the fact that air is being diverted around the core of the engine.

A high bypass engine like an airliner is using the "fan" like a propeller to push air back and around the main engine, this is why you see a big turbine blade right a large circular duct directing the air behind it.

Low bypass engines are what you'd expect in fighters, where you see all the thrust exiting a cone in the back.

Edit: corrected from lift to thrust