I proved iocunico <https://pastebin.com/Nf7p4ry9>today so that is a nice 
step forwards :) I'm hopeful using itgsplit to prove the following is now 
possible. Not sure if I should prove R u. S = { Q } seperately.

50:: |- A e. dom area
51:: |- Q e. RR
52:: |- R = ( -oo (,] Q )
53:: |- S = ( Q [,) +oo )
54:: |- B = { <. x , y >. | ( <. x , y >. e. A /\ x e. R ) }
55:: |- C = { <. x , y >. | ( <. x , y >. e. A /\ x e. S ) }

QED:: ( area ` A ) = ( area ` B ) + ( area ` C )

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