Gotcha. Hatterson had mentioned a few possible scenarios, maybe I got confused with EL allotments.
For the CL England gets 4 berths. Those are assigned to the top 4 in the PL.
If a team finishes in the top 4 *and* wins either the Europa League or Champions League their spot is not re-assigned to a lower team.
In addition, a country can only have a maximum of 5 representatives in the CL in a given year. That means if City wins the CL, Liverpool wins the Europa and somehow *both* of them finish outside of the top 4, then the 4th place team would be given a Europa berth instead of a CL berth to maintain the maximum of 5.
There is no circumstance that would have the 5th place PL team make it into the champions league based on domestic performance.
The Europa League qualifying is where spots can be re-assigned if a team earns a Europa spot but also qualifies for the CL via domestic performance or if they earn a Europa spot in multiple ways (ie, United win the FA cup *and* finish 5th)