(* -------------------------------------------------------------------------- *)
-(* File : LAT025-1 : TPTP v3.2.0. Released v2.2.0. *)
+(* File : LAT025-1 : TPTP v3.7.0. Released v2.2.0. *)
(* Domain : Lattice Theory (Ternary Near Lattices) *)
(* ----Denial of meet=meet2. *)
ntheorem prove_meets_equal:
- ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
+ (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
∀a:Univ.
∀b:Univ.
∀join:∀_:Univ.∀_:Univ.Univ.
∀H10:∀X:Univ.∀Y:Univ.eq Univ (join X (meet X Y)) X.
∀H11:∀X:Univ.∀Y:Univ.eq Univ (meet X (join X Y)) X.
∀H12:∀X:Univ.eq Univ (join X X) X.
-∀H13:∀X:Univ.eq Univ (meet X X) X.eq Univ (meet a b) (meet2 a b)
+∀H13:∀X:Univ.eq Univ (meet X X) X.eq Univ (meet a b) (meet2 a b))
.
-#Univ.
-#X.
-#Y.
-#Z.
-#a.
-#b.
-#join.
-#meet.
-#meet2.
-#H0.
-#H1.
-#H2.
-#H3.
-#H4.
-#H5.
-#H6.
-#H7.
-#H8.
-#H9.
-#H10.
-#H11.
-#H12.
-#H13.
-nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13;
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#a ##.
+#b ##.
+#join ##.
+#meet ##.
+#meet2 ##.
+#H0 ##.
+#H1 ##.
+#H2 ##.
+#H3 ##.
+#H4 ##.
+#H5 ##.
+#H6 ##.
+#H7 ##.
+#H8 ##.
+#H9 ##.
+#H10 ##.
+#H11 ##.
+#H12 ##.
+#H13 ##.
+nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13 ##;
+ntry (nassumption) ##;
nqed.
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