let G be strict Group; :: thesis: for f being Element of Aut G holds f " is Homomorphism of G,G

let f be Element of Aut G; :: thesis: f " is Homomorphism of G,G

reconsider f = f as Homomorphism of G,G by Def1;

f is bijective by Th4;

hence f " is Homomorphism of G,G by GROUP_6:62; :: thesis: verum

let f be Element of Aut G; :: thesis: f " is Homomorphism of G,G

reconsider f = f as Homomorphism of G,G by Def1;

f is bijective by Th4;

hence f " is Homomorphism of G,G by GROUP_6:62; :: thesis: verum