(* -------------------------------------------------------------------------- *)
-(* File : LDA007-3 : TPTP v3.2.0. Released v1.0.0. *)
+(* File : LDA007-3 : TPTP v3.7.0. Released v1.0.0. *)
(* Domain : LD-Algebras (Embedding algebras) *)
(* ----t(tsk) = tt(ts)(tk), where k=crit(t) *)
ntheorem prove_equation:
- ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
+ (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
∀f:∀_:Univ.∀_:Univ.Univ.
∀k:Univ.
∀s:Univ.
∀H2:eq Univ tt_ts (f tt ts).
∀H3:eq Univ ts (f t s).
∀H4:eq Univ tt (f t t).
-∀H5:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (f X (f Y Z)) (f (f X Y) (f X Z)).eq Univ (f t tsk) (f tt_ts tk)
+∀H5:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (f X (f Y Z)) (f (f X Y) (f X Z)).eq Univ (f t tsk) (f tt_ts tk))
.
-#Univ.
-#X.
-#Y.
-#Z.
-#f.
-#k.
-#s.
-#t.
-#tk.
-#ts.
-#tsk.
-#tt.
-#tt_ts.
-#H0.
-#H1.
-#H2.
-#H3.
-#H4.
-#H5.
-nauto by H0,H1,H2,H3,H4,H5;
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#f ##.
+#k ##.
+#s ##.
+#t ##.
+#tk ##.
+#ts ##.
+#tsk ##.
+#tt ##.
+#tt_ts ##.
+#H0 ##.
+#H1 ##.
+#H2 ##.
+#H3 ##.
+#H4 ##.
+#H5 ##.
+nauto by H0,H1,H2,H3,H4,H5 ##;
+ntry (nassumption) ##;
nqed.
(* -------------------------------------------------------------------------- *)