God's number for Cross after EO?

Assuming white on top and that as the scramble you could solve it with:
L2 U' R' U2 R2 right?
I was referring to the cross on bottom, so yellow if you scramble with white on top.

And what about R'U R'U R'U R' isn't that 7?
Or does someone have a better solution?

Yeah, that's a 7-mover for cross on top. Nice one!
 
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I think 7 is the upper bound because you could bring every edge piece to your cross with one move and you need one move to turn your cross so it is in the right position in relation to the other edges but the first one doesn't need that move. But you have to align the cross right so that will be eight? No because you could always insert not all pieces need that move to align the cross with itself except for when the pieces are all in the same layer(R or L) but then the first piece is already inserted

So that means with the lower bound also being 7 that gods number for cross with EO needs to be 7

Let me know if I'm wrong
 
I think 7 is the upper bound because you could bring every edge piece to your cross with one move and you need one move to turn your cross so it is in the right position in relation to the other edges but the first one doesn't need that move. But you have to align the cross right so that will be eight? No because you could always insert not all pieces need that move to align the cross with itself except for when the pieces are all in the same layer(R or L) but then the first piece is already inserted

So that means with the lower bound also being 7 that gods number for cross with EO needs to be 7

Let me know if I'm wrong
There are 8 movers.

Ex: F R' F' B' R2 U B R
 
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