// This prints the left floatting menu
Dedukti    Load Matita      Load Coq         Load Lean        Load PVS         Load OpenTheory Load
Dedukti-jumb

Theorem

nat.le_plus_to_minus

Statement

∀ n m p, n ≤ (p + m) ⇒ (n - m) ≤ p

Main Dependencies
Theory

Coq-Jumb
Statement

Theorem le_plus_to_minus : forall (n:nat), forall (m:nat), forall (p:nat), (le n (plus p m)) -> le (minus n m) p.



Matita-Jumb
Statement

theorem le_plus_to_minus : \forall (n:nat). \forall (m:nat). \forall (p:nat). ((le) n ((plus) p m)) -> (le) ((minus) n m) p.



Lean-jumb
Statement

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).



PVS-jumb

Statement

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)))))



OpenTheory

Printing for OpenTheory is not working at the moment.