theorem Th24: for I being Element of U-InterpretersOf S holds
(I,m)-TruthEval in Funcs(S-formulasOfMaxDepth m, BOOLEAN)
proof
set Phim=S-formulasOfMaxDepth m, II=U-InterpretersOf S;
let I be Element of II; reconsider F=curry ((S,U)-TruthEval m) as Function of
II, Funcs(Phim, BOOLEAN) by Lm17; F.I in Funcs(Phim, BOOLEAN); hence thesis;
end;
