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

Theorem

nat.eqb_true_to_eq

Statement

∀ n m, (n = m) = true ⇒ n = m

Main Dependencies
Theory

Coq-Jumb
Statement

Theorem eqb_true_to_eq : forall (n:nat), forall (m:nat), (logic.eq (bool.bool) (eqb n m) bool.true) -> logic.eq (nat) n m.



Matita-Jumb
Statement

theorem eqb_true_to_eq : \forall (n:nat). \forall (m:nat). ((eq) (bool) ((eqb) n m) (true) ) -> (eq) (nat) n m.



Lean-jumb
Statement

theorem eqb_true_to_eq : forall (n:nat.nat) , forall (m:nat.nat) , ((((logic.eq_) (bool.bool)) ((((nat.eqb) ) (n)) (m))) ((bool.true) )) -> (((logic.eq_) (nat.nat)) (n)) (m).



PVS-jumb

Statement

eqb_true_to_eq : LEMMA (FORALL(n:nat_sttfa.sttfa_nat):(FORALL(m:nat_sttfa.sttfa_nat):(logic_sttfa_th.eq[bool_sttfa_th.sttfa_bool](nat_sttfa.eqb(n)(m))(bool_sttfa_th.sttfa_true) => logic_sttfa_th.eq[nat_sttfa.sttfa_nat](n)(m))))



OpenTheory

Printing for OpenTheory is not working at the moment.