for A being commutative Group holds
( addLoopStr(# the carrier of A, the multF of A,(1_ A) #) is Abelian & addLoopStr(# the carrier of A, the multF of A,(1_ A) #) is add-associative & addLoopStr(# the carrier of A, the multF of A,(1_ A) #) is right_zeroed & addLoopStr(# the carrier of A, the multF of A,(1_ A) #) is right_complementable )