∀ n m, (dividesb n m) = true ⇒ n | m

Theorem dividesb_true_to_divides : forall (n:nat.nat), forall (m:nat.nat), (logic.eq (bool.bool) (dividesb n m) bool.true) -> divides n m.

theorem dividesb_true_to_divides : \forall (n:nat). \forall (m:nat). ((eq) (bool) ((dividesb) n m) (true) ) -> (divides) n m.

theorem dividesb_true_to_divides : forall (n:nat.nat) , forall (m:nat.nat) , ((((logic.eq_) (bool.bool)) ((((primes.dividesb) ) (n)) (m))) ((bool.true) )) -> (((primes.divides) ) (n)) (m).

dividesb_true_to_divides : LEMMA (FORALL(n:nat_sttfa_th.sttfa_nat):(FORALL(m:nat_sttfa_th.sttfa_nat):(logic_sttfa_th.eq[bool_sttfa_th.sttfa_bool](primes_sttfa.dividesb(n)(m))(bool_sttfa_th.sttfa_true) => primes_sttfa.sttfa_divides(n)(m))))

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