∀ n m, equal (n ^ m) (filter_nat_type (exp_body n) m)

Axiom axiom_exp : forall (n:nat.nat), forall (m:nat.nat), connectives.equal (nat.nat) (exp n m) (nat.filter_nat_type (nat.nat) (exp_body n) m)

axiom axiom_exp : \forall (n:nat). \forall (m:nat). (equal) (nat) ((exp) n m) ((filter_nat_type) (nat) ((exp_body) n) m)

axiom axiom_exp : forall (n:nat.nat) , forall (m:nat.nat) , (((connectives.equal) (nat.nat)) ((((exp.exp) ) (n)) (m))) ((((nat.filter_nat_type) (nat.nat)) (((exp.exp_body) ) (n))) (m))

axiom_exp : AXIOM (FORALL(n:nat_sttfa_th.sttfa_nat):(FORALL(m:nat_sttfa_th.sttfa_nat):connectives_sttfa_th.equal[nat_sttfa_th.sttfa_nat](exp_sttfa.sttfa_exp(n)(m))(nat_sttfa_th.filter_nat_type[nat_sttfa_th.sttfa_nat](exp_sttfa.exp_body(n))(m))))

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