// This prints the left floatting menu
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Dedukti-jumb

Axiom

nat.not_le_S_S_to_not_le

Statement

∀ n m, ¬((n+1) ≤ (m+1)) ⇒ ¬(n ≤ m)

Main Dependencies
Theory
Coq-Jumb
Statement

Theorem not_le_S_S_to_not_le : forall (n:nat), forall (m:nat), (connectives.Not (le (S n) (S m))) -> connectives.Not (le n m).


Matita-Jumb
Statement

theorem not_le_S_S_to_not_le : \forall (n:nat). \forall (m:nat). ((Not) ((le) ((S) n) ((S) m))) -> (Not) ((le) n m).


Lean-jumb
Statement

theorem not_le_S_S_to_not_le : forall (n:nat.nat) , forall (m:nat.nat) , (((connectives.Not) ) ((((nat.le_) ) (((nat.S) ) (n))) (((nat.S) ) (m)))) -> ((connectives.Not) ) ((((nat.le_) ) (n)) (m)).


PVS-jumb
Statement

not_le_S_S_to_not_le : LEMMA (FORALL(n:nat_sttfa.sttfa_nat):(FORALL(m:nat_sttfa.sttfa_nat):(connectives_sttfa_th.sttfa_Not(nat_sttfa.le(nat_sttfa.sttfa_S(n))(nat_sttfa.sttfa_S(m))) => connectives_sttfa_th.sttfa_Not(nat_sttfa.le(n)(m)))))


OpenTheory

Printing for OpenTheory is not working at the moment.