∀ n m, m ≤ n ⇒ n = ((n - m) + m)

Theorem plus_minus_m_m : forall (n:nat), forall (m:nat), (le m n) -> logic.eq (nat) n (plus (minus n m) m).

theorem plus_minus_m_m : \forall (n:nat). \forall (m:nat). ((le) m n) -> (eq) (nat) n ((plus) ((minus) n m) m).

theorem plus_minus_m_m : forall (n:nat.nat) , forall (m:nat.nat) , ((((nat.le_) ) (m)) (n)) -> (((logic.eq_) (nat.nat)) (n)) ((((nat.plus) ) ((((nat.minus) ) (n)) (m))) (m)).

plus_minus_m_m : LEMMA (FORALL(n:nat_sttfa.sttfa_nat):(FORALL(m:nat_sttfa.sttfa_nat):(nat_sttfa.le(m)(n) => logic_sttfa_th.eq[nat_sttfa.sttfa_nat](n)(nat_sttfa.plus(nat_sttfa.minus(n)(m))(m)))))

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