let S, T be non empty TopSpace; :: thesis: for p being Point of holds
( p `1 is Point of & p `2 is Point of )
let p be Point of ; :: thesis: ( p `1 is Point of & p `2 is Point of )
p in the carrier of [:S,T:] ;
then p in [:the carrier of S,the carrier of T:] by BORSUK_1:def 5;
hence ( p `1 is Point of & p `2 is Point of ) by MCART_1:10; :: thesis: verum