theorem Th16: :: GROUP_5:16

for G being Group
for a, b being Element of G holds
( [.a,b.] = (((a ") * (b ")) * a) * b & [.a,b.] = ((a ") * ((b ") * a)) * b & [.a,b.] = (a ") * (((b ") * a) * b) & [.a,b.] = (a ") * ((b ") * (a * b)) & [.a,b.] = ((a ") * (b ")) * (a * b) )