i am not actually, im considering the command structure as seperate.... as they were

Yes, but they were both technically

part of the same state

so they should be seen as one

It was still the Roman empire

same state, so what? they still had two independent armies

but with a different administrative heads

one being based in the east, so he can guard and govern the eastern provinces

and one in the west, to do the same

but both of them were heads of the Roman state

and saw themselves as being one entity

when the west was falling the east did not mobilize to help, but rather strengthened its own borders with the muslims

Uh what

one second

give me a second

Islam wasnt a thing till the 7th century

the Western Roman empire fell in the mid 5th

muslims, arabs, again, im using generic terms because im rusty with this shit

so I think your time line is skewed

and

the east actually tried to

im simply refering to the people in the ME

uh no

the eastern empire was fighting the parthians

and the Arabs

had not even gotten

into the middle east

they were in the Arabian peninsula

again, not my fucking point

its generic terms

You said

the east didnt help

they actually did

They sent an army and the emperor's son in law

but they got rapedc

im not going to remember 1000+ random names

but my point is they sent help

but they got raped

and also no

not generic terms

the east tried to, but not as much as they could have, if they mobilized as much as they could without compromising their border they could have done quite a but more