set R = the BinOp of {{}};
set T = the Subset-Family of {{}};
take
TopGrStr(# {{}}, the BinOp of {{}}, the Subset-Family of {{}} #)
; ( TopGrStr(# {{}}, the BinOp of {{}}, the Subset-Family of {{}} #) is strict & not TopGrStr(# {{}}, the BinOp of {{}}, the Subset-Family of {{}} #) is empty )
thus
( TopGrStr(# {{}}, the BinOp of {{}}, the Subset-Family of {{}} #) is strict & not TopGrStr(# {{}}, the BinOp of {{}}, the Subset-Family of {{}} #) is empty )
; verum