nat.le_plus_to_minus
∀ n m p, n ≤ (p + m) ⇒ (n - m) ≤ p
Theorem le_plus_to_minus : forall (n:nat), forall (m:nat), forall (p:nat), (le n (plus p m)) -> le (minus n m) p.
theorem le_plus_to_minus : \forall (n:nat). \forall (m:nat). \forall (p:nat). ((le) n ((plus) p m)) -> (le) ((minus) n m) p.
theorem le_plus_to_minus : forall (n:nat.nat) , forall (m:nat.nat) , forall (p:nat.nat) , ((((nat.le_) ) (n)) ((((nat.plus) ) (p)) (m))) -> (((nat.le_) ) ((((nat.minus) ) (n)) (m))) (p).
le_plus_to_minus : LEMMA (FORALL(n:nat_sttfa.sttfa_nat):(FORALL(m:nat_sttfa.sttfa_nat):(FORALL(p:nat_sttfa.sttfa_nat):(nat_sttfa.le(n)(nat_sttfa.plus(p)(m)) => nat_sttfa.le(nat_sttfa.minus(n)(m))(p)))))
Printing for OpenTheory is not working at the moment.