∀ n, (mod O n) = O

Theorem mod_O_n : forall (n:nat.nat), logic.eq (nat.nat) (mod nat.O n) nat.O.

theorem mod_O_n : \forall (n:nat). (eq) (nat) ((mod) (O) n) (O) .

theorem mod_O_n : forall (n:nat.nat) , (((logic.eq_) (nat.nat)) ((((div_mod.mod) ) ((nat.O) )) (n))) ((nat.O) ).

mod_O_n : LEMMA (FORALL(n:nat_sttfa_th.sttfa_nat):logic_sttfa_th.eq[nat_sttfa_th.sttfa_nat](div_mod_sttfa.mod(nat_sttfa_th.sttfa_O)(n))(nat_sttfa_th.sttfa_O))

Printing for OpenTheory is not working at the moment.