reserve x,y,c for set;

theorem
  for x,y,c being non pair set for s being State of BorrowCirc(x,y,c)
for a2,a3 being Element of BOOLEAN st a2 = s.y & a3 = s.c holds Following(s,2).
  [<*y,c*>,and2] = a2 '&' a3
proof
  let x,y,c be non pair set;
  reconsider a = x as Vertex of BorrowStr(x,y,c) by Th6;
  let s be State of BorrowCirc(x,y,c);
  s.a is Element of BOOLEAN;
  hence thesis by Lm2;
end;
