let G1 be non empty commutative multMagma ; :: thesis: <*G1*> is commutative multMagma-Family of {1}
reconsider A = <*G1*> as multMagma-Family of {1} ;
A is commutative

proof

let x be Element of {1}; :: according to GROUP_7:def 8 :: thesis: A . x is commutative
x = 1 by TARSKI:def 1;
hence A . x is commutative ; :: thesis: verum

end;

hence <*G1*> is commutative multMagma-Family of {1} ; :: thesis: verum