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

Theorem

nat.eq_minus_O

Statement

∀ n m, n ≤ m ⇒ (n - m) = O

Main Dependencies
Theory

Coq-Jumb
Statement

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



Matita-Jumb
Statement

theorem eq_minus_O : \forall (n:nat). \forall (m:nat). ((le) n m) -> (eq) (nat) ((minus) n m) (O) .



Lean-jumb
Statement

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



PVS-jumb

Statement

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



OpenTheory

Printing for OpenTheory is not working at the moment.