nat.eqb_false_to_not_eq
∀ n m, (n = m) = false ⇒ ¬(n = m)
Theorem eqb_false_to_not_eq : forall (n:nat), forall (m:nat), (logic.eq (bool.bool) (eqb n m) bool.false) -> connectives.Not (logic.eq (nat) n m).
theorem eqb_false_to_not_eq : \forall (n:nat). \forall (m:nat). ((eq) (bool) ((eqb) n m) (false) ) -> (Not) ((eq) (nat) n m).
theorem eqb_false_to_not_eq : forall (n:nat.nat) , forall (m:nat.nat) , ((((logic.eq_) (bool.bool)) ((((nat.eqb) ) (n)) (m))) ((bool.false) )) -> ((connectives.Not) ) ((((logic.eq_) (nat.nat)) (n)) (m)).
eqb_false_to_not_eq : LEMMA (FORALL(n:nat_sttfa.sttfa_nat):(FORALL(m:nat_sttfa.sttfa_nat):(logic_sttfa_th.eq[bool_sttfa_th.sttfa_bool](nat_sttfa.eqb(n)(m))(bool_sttfa_th.sttfa_false) => connectives_sttfa_th.sttfa_Not(logic_sttfa_th.eq[nat_sttfa.sttfa_nat](n)(m)))))
Printing for OpenTheory is not working at the moment.