∀ n m, (n+1) < m ⇒ n < m

Theorem lt_S_to_lt : forall (n:nat), forall (m:nat), (lt (S n) m) -> lt n m.

theorem lt_S_to_lt : \forall (n:nat). \forall (m:nat). ((lt) ((S) n) m) -> (lt) n m.

theorem lt_S_to_lt : forall (n:nat.nat) , forall (m:nat.nat) , ((((nat.lt_) ) (((nat.S) ) (n))) (m)) -> (((nat.lt_) ) (n)) (m).

lt_S_to_lt : LEMMA (FORALL(n:nat_sttfa.sttfa_nat):(FORALL(m:nat_sttfa.sttfa_nat):(nat_sttfa.lt(nat_sttfa.sttfa_S(n))(m) => nat_sttfa.lt(n)(m))))

Printing for OpenTheory is not working at the moment.