let K be non empty right_complementable well-unital add-associative right_zeroed doubleLoopStr ; :: thesis: for J being Function of K,K holds
( J is endomorphism iff opp J is antilinear )
let J be Function of K,K; :: thesis: ( J is endomorphism iff opp J is antilinear )
( J is linear iff opp J is antilinear ) by Th35;
hence ( J is endomorphism iff opp J is antilinear ) by Def14; :: thesis: verum