logic.trans_eq
∀ x y z, x = y ⇒ y = z ⇒ x = z
Theorem trans_eq : forall A, forall (x:A), forall (y:A), forall (z:A), (eq (A) x y) -> (eq (A) y z) -> eq (A) x z.
theorem trans_eq : \forall A. \forall (x:A). \forall (y:A). \forall (z:A). ((eq) (A) x y) -> ((eq) (A) y z) -> (eq) (A) x z.
theorem trans_eq : forall (A : Type) , forall (x:A) , forall (y:A) , forall (z:A) , ((((logic.eq_) (A)) (x)) (y)) -> ((((logic.eq_) (A)) (y)) (z)) -> (((logic.eq_) (A)) (x)) (z).
trans_eq [A:TYPE+] : LEMMA (FORALL(x:A):(FORALL(y:A):(FORALL(z:A):(logic_sttfa.eq[A](x)(y) => (logic_sttfa.eq[A](y)(z) => logic_sttfa.eq[A](x)(z))))))
Printing for OpenTheory is not working at the moment.