reserve k,m,n for Nat, kk,mm,nn for Element of NAT, A,B,X,Y,Z,x,y,z for set,
S, S1, S2 for Language, s for (Element of S), w,w1,w2 for (string of S),
U,U1,U2 for non empty set, f,g for Function, p,p1,p2 for FinSequence;
reserve u,u1,u2 for Element of U, t for termal string of S,
I for (S,U)-interpreter-like Function,
l, l1, l2 for literal (Element of S), m1, n1 for non zero Nat,
phi0 for 0wff string of S, psi,phi,phi1,phi2 for wff string of S;
reserve I for Element of U-InterpretersOf S;

theorem (I-TruthEval (<*l*>^phi) = TRUE iff
(ex u st ((l,u) ReassignIn I)-TruthEval phi=1) ) &
(I-TruthEval (<*TheNorSymbOf S*>^phi1^phi2) = TRUE iff
(I-TruthEval phi1 = FALSE & I-TruthEval phi2 = FALSE)) by Lm35, Lm37;
