let n1, n2, n3 be Element of NAT ; :: thesis: for S being Gene-Set
for p1, p2 being Individual of S holds crossover p1,p2,n1,n2,n3 = crossover p1,p2,n3,n1,n2
let S be Gene-Set; :: thesis: for p1, p2 being Individual of S holds crossover p1,p2,n1,n2,n3 = crossover p1,p2,n3,n1,n2
let p1, p2 be Individual of S; :: thesis: crossover p1,p2,n1,n2,n3 = crossover p1,p2,n3,n1,n2
crossover p1,p2,n1,n2,n3 = crossover p1,p2,n1,n3,n2 by Th25;
hence crossover p1,p2,n1,n2,n3 = crossover p1,p2,n3,n1,n2 by Th25; :: thesis: verum