let c1, c2, c3, c4, c5 be Complex; :: thesis: <*c1,c2,c3,c4,c5*> " = <*(c1 "),(c2 "),(c3 "),(c4 "),(c5 ")*>
<*c4,c5*> " = <*(c4 "),(c5 ")*> by NUMBER15:64;
hence <*(c1 "),(c2 "),(c3 "),(c4 "),(c5 ")*> = (<*c1,c2,c3*> ") ^ (<*c4,c5*> ") by NUMBER15:65
.= <*c1,c2,c3,c4,c5*> " by NUMBER15:60 ;
:: thesis: verum