(* -------------------------------------------------------------------------- *)
-(* File : LDA001-1 : TPTP v3.2.0. Released v1.0.0. *)
+(* File : LDA001-1 : TPTP v3.7.0. Released v1.0.0. *)
(* Domain : LD-Algebras *)
(* ----3*2*U = U*U*U *)
ntheorem prove_equation:
- ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
+ (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
∀f:∀_:Univ.∀_:Univ.Univ.
∀n1:Univ.
∀n2:Univ.
∀H0:eq Univ u (f n2 n2).
∀H1:eq Univ n3 (f n2 n1).
∀H2:eq Univ n2 (f n1 n1).
-∀H3:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (f X (f Y Z)) (f (f X Y) (f X Z)).eq Univ (f (f n3 n2) u) (f (f u u) u)
+∀H3:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (f X (f Y Z)) (f (f X Y) (f X Z)).eq Univ (f (f n3 n2) u) (f (f u u) u))
.
-#Univ.
-#X.
-#Y.
-#Z.
-#f.
-#n1.
-#n2.
-#n3.
-#u.
-#H0.
-#H1.
-#H2.
-#H3.
-nauto by H0,H1,H2,H3;
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#f ##.
+#n1 ##.
+#n2 ##.
+#n3 ##.
+#u ##.
+#H0 ##.
+#H1 ##.
+#H2 ##.
+#H3 ##.
+nauto by H0,H1,H2,H3 ##;
+ntry (nassumption) ##;
nqed.
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