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

Theorem sym_eq_exp_body_S : forall (n:nat.nat), forall (m:nat.nat), leibniz.leibniz (nat.nat) (nat.times (exp n m) n) (exp_body n (nat.S m)).

theorem sym_eq_exp_body_S : \forall (n:nat). \forall (m:nat). (leibniz) (nat) ((times) ((exp) n m) n) ((exp_body) n ((S) m)).

theorem sym_eq_exp_body_S : forall (n:nat.nat) , forall (m:nat.nat) , (((leibniz.leibniz) (nat.nat)) ((((nat.times) ) ((((exp.exp) ) (n)) (m))) (n))) ((((exp.exp_body) ) (n)) (((nat.S) ) (m))).

sym_eq_exp_body_S : LEMMA (FORALL(n:nat_sttfa_th.sttfa_nat):(FORALL(m:nat_sttfa_th.sttfa_nat):leibniz_sttfa_th.leibniz[nat_sttfa_th.sttfa_nat](nat_sttfa_th.times(exp_sttfa.sttfa_exp(n)(m))(n))(exp_sttfa.exp_body(n)(nat_sttfa_th.sttfa_S(m)))))

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