European places

Right, as the table currently stands:
Us & the Dippers are guaranteed to take the top 2 places, and Chelsea, Arsenal, Spurs and Rags are in a fight that's too tight to call for 3rd to 6th.
Now, if the table finishes:
Us
Dippers
Arsenal
Rags
Spurs
Chelsea
but Spurs win the CL AND Chelsea win EL, then the Rags would be relegated to the Europa League, from what I understand.
My question is, would such a scenario end up with 8th also qualifying for the EL (i.e. 1, 2, 3, 5 & 6 = CL, while 4, 7 & 8 = EL)?
Us & the Dippers are guaranteed to take the top 2 places, and Chelsea, Arsenal, Spurs and Rags are in a fight that's too tight to call for 3rd to 6th.
Now, if the table finishes:
Us
Dippers
Arsenal
Rags
Spurs
Chelsea
but Spurs win the CL AND Chelsea win EL, then the Rags would be relegated to the Europa League, from what I understand.
My question is, would such a scenario end up with 8th also qualifying for the EL (i.e. 1, 2, 3, 5 & 6 = CL, while 4, 7 & 8 = EL)?