set A = the non empty set ;
set Z = the Element of the non empty set ;
set t = the TriOp of the non empty set ;
take TernaryFieldStr(# the non empty set , the Element of the non empty set , the Element of the non empty set , the TriOp of the non empty set #) ; :: thesis: not TernaryFieldStr(# the non empty set , the Element of the non empty set , the Element of the non empty set , the TriOp of the non empty set #) is empty
thus not the carrier of TernaryFieldStr(# the non empty set , the Element of the non empty set , the Element of the non empty set , the TriOp of the non empty set #) is empty ; :: according to STRUCT_0:def 1 :: thesis: verum