∀ n, ¬(O = (n+1))

Theorem not_eq_O_S : forall (n:nat), connectives.Not (logic.eq (nat) O (S n)).

theorem not_eq_O_S : \forall (n:nat). (Not) ((eq) (nat) (O) ((S) n)).

theorem not_eq_O_S : forall (n:nat.nat) , ((connectives.Not) ) ((((logic.eq_) (nat.nat)) ((nat.O) )) (((nat.S) ) (n))).

not_eq_O_S : LEMMA (FORALL(n:nat_sttfa.sttfa_nat):connectives_sttfa_th.sttfa_Not(logic_sttfa_th.eq[nat_sttfa.sttfa_nat](nat_sttfa.sttfa_O)(nat_sttfa.sttfa_S(n))))

Printing for OpenTheory is not working at the moment.