leibniz (eqb_body O) (λm. match_nat_type true (λq. false) m)

Theorem eq_eqb_body_O : leibniz.leibniz (nat -> bool.bool) (eqb_body O) (fun (m:nat) => match_nat_type (bool.bool) bool.true (fun (q:nat) => bool.false) m).

theorem eq_eqb_body_O : (leibniz) (nat -> bool) ((eqb_body) (O) ) (\lambda m : nat. (match_nat_type) (bool) (true) (\lambda q : nat. (false) ) m).

theorem eq_eqb_body_O : (((leibniz.leibniz) ((nat.nat) -> bool.bool)) (((nat.eqb_body) ) ((nat.O) ))) (fun (m : nat.nat) , ((((nat.match_nat_type) (bool.bool)) ((bool.true) )) (fun (q : nat.nat) , (bool.false) )) (m)).

eq_eqb_body_O : LEMMA leibniz_sttfa_th.leibniz[[nat_sttfa.sttfa_nat -> bool_sttfa_th.sttfa_bool]](nat_sttfa.eqb_body(nat_sttfa.sttfa_O))((LAMBDA(m:nat_sttfa.sttfa_nat):nat_sttfa.match_nat_type[bool_sttfa_th.sttfa_bool](bool_sttfa_th.sttfa_true)((LAMBDA(q:nat_sttfa.sttfa_nat):bool_sttfa_th.sttfa_false))(m)))

Printing for OpenTheory is not working at the moment.