∀ case_O case_S, equal (match_nat_type case_O case_S O) case_O

Axiom axiom_match_nat_type_O : forall return_type, forall (case_O:return_type), forall (case_S:(nat -> return_type)), connectives.equal (return_type) (match_nat_type (return_type) case_O case_S O) case_O

axiom axiom_match_nat_type_O : \forall return_type. \forall (case_O:return_type). \forall (case_S:nat -> return_type). (equal) (return_type) ((match_nat_type) (return_type) case_O case_S (O) ) case_O

axiom axiom_match_nat_type_O : forall (return_type : Type) , forall (case_O:return_type) , forall (case_S:(nat.nat) -> return_type) , (((connectives.equal) (return_type)) (((((nat.match_nat_type) (return_type)) (case_O)) (case_S)) ((nat.O) ))) (case_O)

axiom_match_nat_type_O [return_type:TYPE+] : AXIOM (FORALL(case_O:return_type):(FORALL(case_S:[nat_sttfa.sttfa_nat -> return_type]):connectives_sttfa_th.equal[return_type](nat_sttfa.match_nat_type[return_type](case_O)(case_S)(nat_sttfa.sttfa_O))(case_O)))

Printing for OpenTheory is not working at the moment.