
theorem Th26:
  for S1,S2 being unsplit gate`1=arity gate`2isBoolean non void
  non empty ManySortedSign for A1 being Boolean gate`2=den non-empty Circuit of
S1 for A2 being Boolean gate`2=den non-empty 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
proof
  let S1,S2 be unsplit gate`1=arity gate`2isBoolean non void non empty
  ManySortedSign;
  let A1 be Boolean gate`2=den Circuit of S1;
  let A2 be Boolean gate`2=den Circuit of S2;
  let s be State of A1+*A2;
  the Sorts of A1 tolerates the Sorts of A2 by CIRCCOMB:59;
  hence thesis by CIRCCOMB:26;
end;
