// This prints the left floatting menu
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Dedukti-jumb

Theorem

primes.divides_to_le

Statement

∀ n m, O < m ⇒ n | m ⇒ n ≤ m

Main Dependencies
Theory

Coq-Jumb
Statement

Theorem divides_to_le : forall (n:nat.nat), forall (m:nat.nat), (nat.lt nat.O m) -> (divides n m) -> nat.le n m.



Matita-Jumb
Statement

theorem divides_to_le : \forall (n:nat). \forall (m:nat). ((lt) (O) m) -> ((divides) n m) -> (le) n m.



Lean-jumb
Statement

theorem divides_to_le : forall (n:nat.nat) , forall (m:nat.nat) , ((((nat.lt_) ) ((nat.O) )) (m)) -> ((((primes.divides) ) (n)) (m)) -> (((nat.le_) ) (n)) (m).



PVS-jumb

Statement

divides_to_le : LEMMA (FORALL(n:nat_sttfa_th.sttfa_nat):(FORALL(m:nat_sttfa_th.sttfa_nat):(nat_sttfa_th.lt(nat_sttfa_th.sttfa_O)(m) => (primes_sttfa.sttfa_divides(n)(m) => nat_sttfa_th.le(n)(m)))))



OpenTheory

Printing for OpenTheory is not working at the moment.