∀ n m, equal (exp_body n (m+1)) ((n ^ m) × n)

Axiom axiom_exp_body_S : forall (n:nat.nat), forall (m:nat.nat), connectives.equal (nat.nat) (exp_body n (nat.S m)) (nat.times (exp n m) n)

axiom axiom_exp_body_S : \forall (n:nat). \forall (m:nat). (equal) (nat) ((exp_body) n ((S) m)) ((times) ((exp) n m) n)

axiom axiom_exp_body_S : forall (n:nat.nat) , forall (m:nat.nat) , (((connectives.equal) (nat.nat)) ((((exp.exp_body) ) (n)) (((nat.S) ) (m)))) ((((nat.times) ) ((((exp.exp) ) (n)) (m))) (n))

axiom_exp_body_S : 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.exp_body(n)(nat_sttfa_th.sttfa_S(m)))(nat_sttfa_th.times(exp_sttfa.sttfa_exp(n)(m))(n))))

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