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

Theorem

nat.times_Sn_m

Statement

∀ n m, (m + (n × m)) = ((n+1) × m)

Main Dependencies
Theory

Coq-Jumb
Statement

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



Matita-Jumb
Statement

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



Lean-jumb
Statement

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



PVS-jumb

Statement

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



OpenTheory

Printing for OpenTheory is not working at the moment.