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-(* File : LAT071-1 : TPTP v3.2.0. Released v2.6.0. *)
+(* File : LAT071-1 : TPTP v3.7.0. Released v2.6.0. *)
(* Domain : Lattice Theory (Orthomodularlattices) *)
(* ----Denial of Sheffer stroke associativity *)
ntheorem associativity:
- ∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.
+ (∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.
∀a:Univ.
∀b:Univ.
∀c:Univ.
∀f:∀_:Univ.∀_:Univ.Univ.
-∀H0:∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.eq Univ (f (f B A) (f (f (f (f B A) A) (f C A)) (f (f A A) D))) A.eq Univ (f a (f (f b c) (f b c))) (f c (f (f b a) (f b a)))
+∀H0:∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.eq Univ (f (f B A) (f (f (f (f B A) A) (f C A)) (f (f A A) D))) A.eq Univ (f a (f (f b c) (f b c))) (f c (f (f b a) (f b a))))
.
-#Univ.
-#A.
-#B.
-#C.
-#D.
-#a.
-#b.
-#c.
-#f.
-#H0.
-nauto by H0;
+#Univ ##.
+#A ##.
+#B ##.
+#C ##.
+#D ##.
+#a ##.
+#b ##.
+#c ##.
+#f ##.
+#H0 ##.
+nauto by H0 ##;
+ntry (nassumption) ##;
nqed.
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