Lubrication system on a Lycoming O-540 

How a Lycoming O-540 sends lubricating oil to the internal parts of the engine.
Looks like I wasn’t very clear on the thermostatic bypass valve part.
Here’s Lycoming’s Verbiage on it:
While the oil is cold, this system allows oil to flow through the oil filter without passing through the oil cooler. As oil temperature rises to approximately 180˚ F, the valve closes and forces the oil to pass through the oil cooler. The oil then returns to the accessory housing where it is routed through the oil filter adapter, the filter and then again through the filter adapter, accessory housing and finally into the crankcase.