{ (a *) where a is Element of L : verum } c= the carrier of L

proof

let x be object ; :: according to TARSKI:def 3 :: thesis: ( not x in { (a *) where a is Element of L : verum } or x in the carrier of L )
assume x in { (a *) where a is Element of L : verum } ; :: thesis: x in the carrier of L
then consider a being Element of L such that
A1: x = a * ;
thus x in the carrier of L by A1; :: thesis: verum

end;

hence { (a *) where a is Element of L : verum } is Subset of L ; :: thesis: verum