primes.divides_to_le
∀ n m, O < m ⇒ n | m ⇒ n ≤ m
Theorem divides_to_le : forall (n:nat.nat), forall (m:nat.nat), (nat.lt nat.O m) -> (divides n m) -> nat.le n m.
theorem divides_to_le : \forall (n:nat). \forall (m:nat). ((lt) (O) m) -> ((divides) n m) -> (le) n m.
theorem divides_to_le : forall (n:nat.nat) , forall (m:nat.nat) , ((((nat.lt_) ) ((nat.O) )) (m)) -> ((((primes.divides) ) (n)) (m)) -> (((nat.le_) ) (n)) (m).
divides_to_le : LEMMA (FORALL(n:nat_sttfa_th.sttfa_nat):(FORALL(m:nat_sttfa_th.sttfa_nat):(nat_sttfa_th.lt(nat_sttfa_th.sttfa_O)(m) => (primes_sttfa.sttfa_divides(n)(m) => nat_sttfa_th.le(n)(m)))))
Printing for OpenTheory is not working at the moment.