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

Axiom

nat.not_le_to_lt

Statement

∀ n m, ¬(n ≤ m) ⇒ m < n

Main Dependencies
Theory

Coq-Jumb
Statement

Theorem not_le_to_lt : forall (n:nat), forall (m:nat), (connectives.Not (le n m)) -> lt m n.



Matita-Jumb
Statement

theorem not_le_to_lt : \forall (n:nat). \forall (m:nat). ((Not) ((le) n m)) -> (lt) m n.



Lean-jumb
Statement

theorem not_le_to_lt : forall (n:nat.nat) , forall (m:nat.nat) , (((connectives.Not) ) ((((nat.le_) ) (n)) (m))) -> (((nat.lt_) ) (m)) (n).



PVS-jumb

Statement

not_le_to_lt : LEMMA (FORALL(n:nat_sttfa.sttfa_nat):(FORALL(m:nat_sttfa.sttfa_nat):(connectives_sttfa_th.sttfa_Not(nat_sttfa.le(n)(m)) => nat_sttfa.lt(m)(n))))



OpenTheory

Printing for OpenTheory is not working at the moment.