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

Theorem

nat.minus_S_S

Statement

∀ n m, ((n+1) - (m+1)) = (n - m)

Main Dependencies
Theory

Coq-Jumb
Statement

Theorem minus_S_S : forall (n:nat), forall (m:nat), logic.eq (nat) (minus (S n) (S m)) (minus n m).



Matita-Jumb
Statement

theorem minus_S_S : \forall (n:nat). \forall (m:nat). (eq) (nat) ((minus) ((S) n) ((S) m)) ((minus) n m).



Lean-jumb
Statement

theorem minus_S_S : forall (n:nat.nat) , forall (m:nat.nat) , (((logic.eq_) (nat.nat)) ((((nat.minus) ) (((nat.S) ) (n))) (((nat.S) ) (m)))) ((((nat.minus) ) (n)) (m)).



PVS-jumb

Statement

minus_S_S : LEMMA (FORALL(n:nat_sttfa.sttfa_nat):(FORALL(m:nat_sttfa.sttfa_nat):logic_sttfa_th.eq[nat_sttfa.sttfa_nat](nat_sttfa.minus(nat_sttfa.sttfa_S(n))(nat_sttfa.sttfa_S(m)))(nat_sttfa.minus(n)(m))))



OpenTheory

Printing for OpenTheory is not working at the moment.