take S = 2-sorted(# 1,1 #); :: thesis: ( S is strict & not S is empty & not S is void & S is trivial & S is trivial' )
thus S is strict ; :: thesis: ( not S is empty & not S is void & S is trivial & S is trivial' )
thus not S is empty ; :: thesis: ( not S is void & S is trivial & S is trivial' )
thus not S is void ; :: thesis: ( S is trivial & S is trivial' )
thus S is trivial by CARD_1:49; :: thesis: S is trivial'
thus the carrier' of S is trivial by CARD_1:49; :: according to STRUCT_0:def 21 :: thesis: verum