let A be complex-membered set ; :: thesis: for a being complex number
for e being set st e in a /// A holds
ex c being Element of COMPLEX st
( e = a / c & c in A )
let a be complex number ; :: thesis: for e being set st e in a /// A holds
ex c being Element of COMPLEX st
( e = a / c & c in A )
let e be set ; :: thesis: ( e in a /// A implies ex c being Element of COMPLEX st
( e = a / c & c in A ) )
a /// A = { (a / c) where c is Element of COMPLEX : c in A } by Th214;
hence ( e in a /// A implies ex c being Element of COMPLEX st
( e = a / c & c in A ) ) ; :: thesis: verum