(* -------------------------------------------------------------------------- *)
-(* File : LAT034-1 : TPTP v3.2.0. Bugfixed v2.5.0. *)
+(* File : LAT034-1 : TPTP v3.7.0. Bugfixed v2.5.0. *)
(* Domain : Lattice Theory *)
(* -------------------------------------------------------------------------- *)
ntheorem idempotence_of_meet:
- ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
+ (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
∀join:∀_:Univ.∀_:Univ.Univ.
∀meet:∀_:Univ.∀_:Univ.Univ.
∀xx:Univ.
∀H2:∀X:Univ.∀Y:Univ.eq Univ (join X Y) (join Y X).
∀H3:∀X:Univ.∀Y:Univ.eq Univ (meet X Y) (meet Y X).
∀H4:∀X:Univ.∀Y:Univ.eq Univ (join X (meet X Y)) X.
-∀H5:∀X:Univ.∀Y:Univ.eq Univ (meet X (join X Y)) X.eq Univ (meet xx xx) xx
+∀H5:∀X:Univ.∀Y:Univ.eq Univ (meet X (join X Y)) X.eq Univ (meet xx xx) xx)
.
-#Univ.
-#X.
-#Y.
-#Z.
-#join.
-#meet.
-#xx.
-#H0.
-#H1.
-#H2.
-#H3.
-#H4.
-#H5.
-nauto by H0,H1,H2,H3,H4,H5;
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#join ##.
+#meet ##.
+#xx ##.
+#H0 ##.
+#H1 ##.
+#H2 ##.
+#H3 ##.
+#H4 ##.
+#H5 ##.
+nauto by H0,H1,H2,H3,H4,H5 ##;
+ntry (nassumption) ##;
nqed.
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