∀ n m, (n + (n × m)) = (n × (m+1))

Theorem times_n_Sm : forall (n:nat), forall (m:nat), logic.eq (nat) (plus n (times n m)) (times n (S m)).

theorem times_n_Sm : \forall (n:nat). \forall (m:nat). (eq) (nat) ((plus) n ((times) n m)) ((times) n ((S) m)).

theorem times_n_Sm : forall (n:nat.nat) , forall (m:nat.nat) , (((logic.eq_) (nat.nat)) ((((nat.plus) ) (n)) ((((nat.times) ) (n)) (m)))) ((((nat.times) ) (n)) (((nat.S) ) (m))).

times_n_Sm : LEMMA (FORALL(n:nat_sttfa.sttfa_nat):(FORALL(m:nat_sttfa.sttfa_nat):logic_sttfa_th.eq[nat_sttfa.sttfa_nat](nat_sttfa.plus(n)(nat_sttfa.times(n)(m)))(nat_sttfa.times(n)(nat_sttfa.sttfa_S(m)))))

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