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

Theorem

nat.le_to_le_to_eq

Statement

∀ n m, n ≤ m ⇒ m ≤ n ⇒ n = m

Main Dependencies
Theory

Coq-Jumb
Statement

Theorem le_to_le_to_eq : forall (n:nat), forall (m:nat), (le n m) -> (le m n) -> logic.eq (nat) n m.



Matita-Jumb
Statement

theorem le_to_le_to_eq : \forall (n:nat). \forall (m:nat). ((le) n m) -> ((le) m n) -> (eq) (nat) n m.



Lean-jumb
Statement

theorem le_to_le_to_eq : forall (n:nat.nat) , forall (m:nat.nat) , ((((nat.le_) ) (n)) (m)) -> ((((nat.le_) ) (m)) (n)) -> (((logic.eq_) (nat.nat)) (n)) (m).



PVS-jumb

Statement

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



OpenTheory

Printing for OpenTheory is not working at the moment.