∀ n m, n < m ⇒ O < m

Theorem ltn_to_ltO : forall (n:nat), forall (m:nat), (lt n m) -> lt O m.

theorem ltn_to_ltO : \forall (n:nat). \forall (m:nat). ((lt) n m) -> (lt) (O) m.

theorem ltn_to_ltO : forall (n:nat.nat) , forall (m:nat.nat) , ((((nat.lt_) ) (n)) (m)) -> (((nat.lt_) ) ((nat.O) )) (m).

ltn_to_ltO : LEMMA (FORALL(n:nat_sttfa.sttfa_nat):(FORALL(m:nat_sttfa.sttfa_nat):(nat_sttfa.lt(n)(m) => nat_sttfa.lt(nat_sttfa.sttfa_O)(m))))

Printing for OpenTheory is not working at the moment.