∀ n, leibniz (filter_nat_type eqb_body n) (eqb n)

Theorem sym_eq_eqb : forall (n:nat), leibniz.leibniz (nat -> bool.bool) (filter_nat_type (nat -> bool.bool) eqb_body n) (eqb n).

theorem sym_eq_eqb : \forall (n:nat). (leibniz) (nat -> bool) ((filter_nat_type) (nat -> bool) (eqb_body) n) ((eqb) n).

theorem sym_eq_eqb : forall (n:nat.nat) , (((leibniz.leibniz) ((nat.nat) -> bool.bool)) ((((nat.filter_nat_type) ((nat.nat) -> bool.bool)) ((nat.eqb_body) )) (n))) (((nat.eqb) ) (n)).

sym_eq_eqb : LEMMA (FORALL(n:nat_sttfa.sttfa_nat):leibniz_sttfa_th.leibniz[[nat_sttfa.sttfa_nat -> bool_sttfa_th.sttfa_bool]](nat_sttfa.filter_nat_type[[nat_sttfa.sttfa_nat -> bool_sttfa_th.sttfa_bool]](nat_sttfa.eqb_body)(n))(nat_sttfa.eqb(n)))

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