∀ n m p, n < m ⇒ m ≤ p ⇒ n < p

Theorem lt_to_le_to_lt : forall (n:nat), forall (m:nat), forall (p:nat), (lt n m) -> (le m p) -> lt n p.

theorem lt_to_le_to_lt : \forall (n:nat). \forall (m:nat). \forall (p:nat). ((lt) n m) -> ((le) m p) -> (lt) n p.

theorem lt_to_le_to_lt : forall (n:nat.nat) , forall (m:nat.nat) , forall (p:nat.nat) , ((((nat.lt_) ) (n)) (m)) -> ((((nat.le_) ) (m)) (p)) -> (((nat.lt_) ) (n)) (p).

lt_to_le_to_lt : LEMMA (FORALL(n:nat_sttfa.sttfa_nat):(FORALL(m:nat_sttfa.sttfa_nat):(FORALL(p:nat_sttfa.sttfa_nat):(nat_sttfa.lt(n)(m) => (nat_sttfa.le(m)(p) => nat_sttfa.lt(n)(p))))))

Printing for OpenTheory is not working at the moment.