set R = { [r,s] where r, s is Real : r <= s } ;
let x be set ; :: according to TARSKI:def 3,RELSET_1:def 1 :: thesis: ( not x in { [r,s] where r, s is Real : r <= s } or x in [:REAL ,REAL :] )
assume
x in { [r,s] where r, s is Real : r <= s }
; :: thesis: x in [:REAL ,REAL :]
then
ex r, s being Real st
( x = [r,s] & r <= s )
;
hence
x in [:REAL ,REAL :]
by ZFMISC_1:106; :: thesis: verum