set T = TopRelStr(# the carrier of R, the InternalRel of R,(sigma R) #);
RelStr(# the carrier of TopRelStr(# the carrier of R, the InternalRel of R,(sigma R) #), the InternalRel of TopRelStr(# the carrier of R, the InternalRel of R,(sigma R) #) #) = RelStr(# the carrier of R, the InternalRel of R #)
;
then reconsider T = TopRelStr(# the carrier of R, the InternalRel of R,(sigma R) #) as TopAugmentation of R by YELLOW_9:def 4;
take
T
; ( T is strict & T is Scott & T is correct )
thus
( T is strict & T is Scott & T is correct )
by Th11, YELLOW_9:48; verum