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-(* File : LAT089-1 : TPTP v3.2.0. Released v2.6.0. *)
+(* File : LAT089-1 : TPTP v3.7.0. Released v2.6.0. *)
(* Domain : Lattice Theory (Weakly Associative Lattices) *)
(* -------------------------------------------------------------------------- *)
ntheorem prove_normal_axioms_2:
- ∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.
+ (∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.
∀a:Univ.
∀b:Univ.
∀join:∀_:Univ.∀_:Univ.Univ.
∀H1:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (meet (meet (join A B) (join C A)) A) A.
∀H2:∀A:Univ.∀B:Univ.eq Univ (join (meet A B) (meet B (join A B))) B.
∀H3:∀A:Univ.∀B:Univ.eq Univ (join (meet A A) (meet B (join A A))) A.
-∀H4:∀A:Univ.∀B:Univ.eq Univ (join (meet A B) (meet A (join A B))) A.eq Univ (meet b a) (meet a b)
+∀H4:∀A:Univ.∀B:Univ.eq Univ (join (meet A B) (meet A (join A B))) A.eq Univ (meet b a) (meet a b))
.
-#Univ.
-#A.
-#B.
-#C.
-#a.
-#b.
-#join.
-#meet.
-#H0.
-#H1.
-#H2.
-#H3.
-#H4.
-nauto by H0,H1,H2,H3,H4;
+#Univ ##.
+#A ##.
+#B ##.
+#C ##.
+#a ##.
+#b ##.
+#join ##.
+#meet ##.
+#H0 ##.
+#H1 ##.
+#H2 ##.
+#H3 ##.
+#H4 ##.
+nauto by H0,H1,H2,H3,H4 ##;
+ntry (nassumption) ##;
nqed.
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