let G1 be Group; :: thesis: <*G1*> is Group-like associative multMagma-Family of {1}
reconsider A = <*G1*> as multMagma-Family of {1} ;
A is Group-like

proof

let x be Element of {1}; :: according to GROUP_7:def 6 :: thesis: A . x is Group-like
x = 1 by TARSKI:def 1;
hence A . x is Group-like by FINSEQ_1:def 8; :: thesis: verum

end;

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