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

Theorem

nat.plus_n_Sm

Statement

∀ n m, ((n + m)+1) = (n + (m+1))

Main Dependencies
Theory

Coq-Jumb
Statement

Theorem plus_n_Sm : forall (n:nat), forall (m:nat), logic.eq (nat) (S (plus n m)) (plus n (S m)).



Matita-Jumb
Statement

theorem plus_n_Sm : \forall (n:nat). \forall (m:nat). (eq) (nat) ((S) ((plus) n m)) ((plus) n ((S) m)).



Lean-jumb
Statement

theorem plus_n_Sm : forall (n:nat.nat) , forall (m:nat.nat) , (((logic.eq_) (nat.nat)) (((nat.S) ) ((((nat.plus) ) (n)) (m)))) ((((nat.plus) ) (n)) (((nat.S) ) (m))).



PVS-jumb

Statement

plus_n_Sm : LEMMA (FORALL(n:nat_sttfa.sttfa_nat):(FORALL(m:nat_sttfa.sttfa_nat):logic_sttfa_th.eq[nat_sttfa.sttfa_nat](nat_sttfa.sttfa_S(nat_sttfa.plus(n)(m)))(nat_sttfa.plus(n)(nat_sttfa.sttfa_S(m)))))



OpenTheory

Printing for OpenTheory is not working at the moment.