for S1, S2 being non empty non void unsplit gate`1=arity gate`2isBoolean ManySortedSign
for A1 being non-empty gate`2=den Boolean Circuit of S1
for A2 being non-empty gate`2=den Boolean Circuit of S2
for s being State of (A1 +* A2) holds
( s | the carrier of S1 is State of A1 & s | the carrier of S2 is State of A2 )